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APPENDIX A
SELECTED NUMERICAL APPLICATIONS
A.1. INTRODUCTION
To demonstrate the applications of selected analytical results developed in this book a few numerical examples are studied in depth. The system that governs these examples is extracted with modifications from [2C. 28] to accommodate the pertinent applications. 1 The organization of this appendix is as follows. In Section A.2, the physical system is presented. Section A.3 gives preliminary analysis of this system. The corresponding [parametric- I sensitivity analysis and synthesis is given subsequently in Section A.4. The numerical computations are performed using another classical reference on numerical computations in modern control theory [2C. 36]. Finally, a project is proposed in Section A.S.
A.2. POSITION SERVO SYSTEM
Suppose that an object is moving in a plane and at the origin of this plane a rotating antenna, driven by an electric motor, is pointing at the object direction at all the time. The control problem is to command the motor such that
9(t) ::; 9/t), t 2! to, (A.2-1)
1 In Section 1.5, it is mentioned that there are a few references, though some out of print, which had special effects in the training of this author. The texthook by Kwakernaak and Sivan [2C. 28] is one of them. In the Spring of 1974, this reference was the textbook for my graduate course in optimal control theory taught by Professor TJ. Higgins at the University of WisconsinMadison. One day, referring to this textbook, one student asked Professor Higgins, why we are applying all this advanced theory to a few (four) simple examples (repeatedly) - what is the point? Professor Higgins replied that in an orchestra, the violin is perhaps one of the "simplest" musical instruments: however, depending on who is playing it, one can make all sorts of sounds using this instrument alone! So the idea of applying a body of knowledge to a simple example for the purpose of emphasizing the new concept as developed, rather than losing the main thrust of the underlying issue in the process of describing a complicated example, became the trend in my presentations and a message that I have tried to convey to my own students. [While preparing t4is book, I learned that a theme example has been also used in [2B. 14], which appeared before [2C. 28], to illustrate different aspects of the developed theory.]
SS8 Appendix A - Selected Numerical Applications
where OCt) denotes the angular position of antenna and O/t) is the angular position of object. Although not detenninistic, it is assumed that Or(t) is made available as a mechanical angle by manually pointing the binocular in the object direction.
Here, The plant consists of antenna. and motor and disturbance is the torque exerted by wind on this antenna. The observed variable is the output of a potentiometer or other transducer mounted on the shaft of antenna, given by
11(t) = OCt) + vet), (A.2-2)
where vet) is the measurement noise. In this example, the angle OCt) is to be controlled and therefore it is the controlled variable. The reference variable is the object direction O/t). The plant input is Il, which is the input voltage to motor.
The control mechanism for this system is simply the applications of several transducers, in order to measure 9(t) and 9r(t) as electrical signals. Then 9r (t) - 9(t) is used as the input voltage for motor. Thus when 9rCt) - 9(t) is posi" tive, a positive input voltage is produced that makes the antenna to rotate in a positive direction so that the difference between 9r(t) and 9(t) is reduced.
This scheme is obviously a closed-loop controller. An open-loop controller would generate the driving voltage Il(t) on the basis of reference angle 9/t) alone, which such controller generally has no way of compensating for external disturbances such as wind torques, or plant parameter variations such as different friction coefficients at different temperatures, etc ..
The motion of antenna can be described by a differential equation .. . J9(t) + feet) = 't(t) + 'td(t), (A.2-3)
where J is the moment of inertia for all the rotating parts, including antenna; f is the coefficient of viscous friction; 't(t) is the torque applied by motor, and 'td(t) is a disturbing torque caused by wind. The motor torque is assumed to be proportional to J.l.(t), the motor input voltage, so that
't(t) = KJ.l.(t). (A.2-4)
Defining the state variables Sl (t) ~ 9(t) and S2(t) ~ e(t), the state-space representation for this system becomes
~(t) = [~ -:/1 1 ~(t) + {K~ J} ~(t) + {t ~ J } <it)
The control variable or observation ~(t) is the angular position of antenna
~(t) = [1, 0] set). The nominal values for these parameters are chosen as follows.
f = 46 kg m2/s, J = 10 kg m2, K = 7.87 kg m2 rad/(vs2).
(A.2-5)
(A.2-6)
(A.2-7)
ang
o
fth
an
d li
ar p
osi
tio
n
e b
ino
cula
rs
of
the
ob
i ec·
Po
ten
tio
met
er
e r
Win
d
Dis
tru
an
ce
Co
ntr
oll
er
Pla
nt
Dif
fere
nti
al
Inp
ut
Am
plif
ier
Vo
ltag
e M
oto
r E
lect
rica
l S
ign
al
And
to
Mo
tor
And
Po
wer
A
nte
nn
a
Am
pli
fier
Sen
sor
Ele
ctri
cal
Siq
nal
o
ten
tio
met
er
Fig.
A.2
-1. A
pos
ition
ser
vo sy
stem
.
An
gu
lar
Po
siti
on
o
f th
e M
otor
e
~
'0 ~ c:o.
~.
~
I CI'.l t I [ ~ ~ I' ~
\0
560 Appendix A - Selected Numerical Applications
A.3. THE PRELIMINARY ANALYSIS
Several control policies for this problem are discussed in [2C. 28]. In this study only a position feedback, using a first-order controller, is considered. Since the observation noise always. exists, for a complete state feedback of the system, instead of having ~2(t) = e(t), an approximate procedure is used to generate this e(t). Namely, using a transfer function such as
s (A.3-l)
~here Td is a small positive time constant, then e(t) becomes an approximation for e(t) that is reconstructed (a Luenberger observer). This procedure, to some extent, filters out the noise. The larger T d makes the differentiator less accurate.
The system input is
!let) = ,,-[er(t) - 11(t)] - ,,-po(t),
where 11(t) is the observed angular position (cf., Fig. A.3-l) as follows.
11(t) = [1, O]~(t) + vet).
(A.3-2)
(A.3-3)
Here vet) is the observation noise. The approximate derivative, o(t), satisfies the following equation
(A. 3-4)
This controller is dynamic, of order one, which is typical in practice. The main thrust of the study which has been carried out in [2C. 28] is: To choose proper values for the time constant Td and the the two scalar gains "- and p. The purpose of this investigation, however, is: To study the same problem from parametric -sensitivity analysis and synthesis point of view; i.e., to investigate as feasible, the effects of various changes in these quantities on the overall system performance.
In this regard suppose that
a. ~ ~ = 4.6 s-l, P ~ ; = 0.787 rad/(vs2), y ~ ~ = 0.1 (kgm2r1. Then (A.2-5), on using (A.3-5), becomes
~(') = [~ _1" 1s(') + ~ } ~(,) + {~}t.<,), with
TdS(t) + o(t) = ~2(t) + ro(t),
where ro(t) is the observation noise in reading o(t).
(A.3-5)
(A.3-6)
(A.3-7)
Ref
eren
ce
Ang
le
.. I
8 r(t
)
Dri
vin
g
vo
ltag
e
IJ. (t
)
Dis
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rqu
e
~(t)
Mo
tor
and
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atio
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e M
oto
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Ob
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ed
1l1l
i 1
Var
iab
le
Ap
pro
xim
ate
Dif
fere
nti
ato
71 (t
)
Fig
. A.3
-1.
Sim
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ied
bloc
k di
agra
m o
f a p
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-fe
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ck c
ontr
ol s
yste
m
usin
g a
first
-or
der
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r.
~ ~ ~ >
I rtJ I f [ ~ 1 g.: ....
562 Appendix A - Selected Numerical Applications
Let
x(t) ~ [~I (t), ~2(t), O(t)]T,
then (A.3-6) and (A.3-7) can be written as
x(t) = r~ _let ~ 1 x(t) J~}~(t) + r~ ~ 1 {~;~} l~ lITd -lITd 16 lo lITd
{'td(t)} ~ Ax(t) + b~(t) + C oo(t) .
Equation (A.3-2), becomes
(A.3-8)
(A.3-9)
~(t) = - [A, 0, Ap] x(t) + Aer(t) - AV(t) ~ - kTx(t) + Aer(t) - AV(t). (A.3-l0)
Correspondingly, the closed-loop system (A.3-9) becomes
x(t) = (A - bkT)x(t) + Ny(t) + Hn(t); (A.3-11)
where
(A.3-l2)
and
y(t) 1! {:~:;}. n(t) 1! {~~} (A.3-13)
Here, y(t) is considered as an external noise or exogenous signal to represent the uncertainty in 9r(t) and 'td' since these quantities, generally speaking, are not known exactly; and n(t) is the observation noise in reading 9(t) and O(t).
Considering only the deterministic aspect of this problem in this section, we assume that y(t) == 0, and n(t) == O. Therefore from (A.3-11) we have
x(t) = (A - bkT)x(t) ~ AIx(t), (A.3-l4)
where
Al ~ (A - bkT) = [-~A _let -~P/3l. o lITd -l/Td
(A.3-l5)
Here the nominal values of parameters are given by (A.3-5), and
Appendix A - Selected Numerical Applications 563
1 Td = 100 (second). (A.3-16)
We let A = 225, P = 0.08 (or AP = 18), with (A.3-5), then Al becomes
Al = [-17~.08 -~.6 -1~.17]. o 100 -100
(A.3-17)
Computing the eigenvalues of AI' results in
Al = - 82.27, "-2,3 = -11.17 ± j 9.53. (A.3-I8)
Thus the system at the neighborhood of these nominal values, and with no external noise present, is asymptotically stable.
Now, based upon this operating condition, in the following a systematic parametric -sensitivity analysis and synthesis are performed in order to show the meaning and the applicability of certain selected results presented in this book. But first we recall the actual parametric form of the ODE's which represents this system. From (A.3-14), with Al given in (A.3-15), and with ex and 13 from (A.3-5) we have
x(t) ~ A1x(t) = I-A~IJ -:/J -A;K/J] x(t). o lITd -lITd
(A.3-I9)
Here the nominal values for parameters f, J, K, Td are given in (A.2-5) and (A.3-16), respectively, with A = 225 and P = 0.08.
A.4. SYSTEM SENSITIVITY: ANALYSIS AND SYNTHESIS
For the system of (A.3-I9), we let {Pj' j = 1, "', 4} ~ {f, J, le, Td}. Then the
following questions regarding these parameters are to be studied from the parametric -sensitivity analysis and synthesis point of view.
(a) To generate all the system sensitivity functions with the corresponding system - TSF.
(b) To investigate the terminal conditions insensitivity (TCI) for the set of differential equations that must be solved in order to study this Tel and its complete simultaneity.
(c) To apply the results from Algorithm 5.6-1, in order to determine the "largest" variations in each parameter Pj' individually.
(d) To derive the optimal controller gain e = [A, 0, Ap), such that the following combined-quadratic cost is minimized. The weighting matrices are given in the following.
564 Appendix A - Selected Numerical Applications
(A.4-1)
(e) To compare the regulator cost corresponding to the optimal controller gain; with and without the sensitivity minimization contribution.
A.4.a.
To generate system sensitivity functions, we must solve the following set of differential equations.
Al 0 0 0 0 x x
ax aAI Al 0 0 0 ax
af af af
ax aAI 0 Al 0 0
ax = aJ aJ aJ (AA-2)
ax aA I ax
aK aK 0 0 Al 0 aK
ax aA I ax
aTd aTd 0 0 0 Al aTd
where the numerical values for the above coefficient matrix (i.e., Al and each aA
corresponding ~) with the associated initial conditions are given next. The apj
dimension of this set of ODE's is 15, thus to generate these sensitivity functions is a very involved computational task. However, we can show that these equations are redundant.
The system - TSF, on the other hand, can be generated from the following set of low-dimensional differential equations.
t}= [~: ~J ~:J (U3a)
where A I is given in (A.3-17) and the initial condition for this system is assumed as follows.
[0, 1, 1, 0, 0, O]T. (AA-3b)
A careful look at the solution of (AA-2) (shown in the following graphs) shows that some of these trajectories are almost identical. This observation confirms our expectation that there are redundancies in this set of I5-0DE's.
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S72 Appendix A - Selected Numerical Applications
A.4.b.
To investigate the TCI, and the redundancies in the actual number of differential equations which must be generated for the complete solution of (A.4-2), the rank of controllability matrix for the system model must be studied. It is shown in § 4.3.2, that the corresponding controllability matrix with all its sensitivity functions and e ~ (b, Ab, A 2b) is as follows.
e Ae A4e
oe o(AC) o(A4C)
of of of
C~ oe o(AC) o(A4C)
oJ oJ oJ (A.4-4)
oe o(AC) o (A4C) OK (he OK oe o(AC) o(A4C) oTd OTd OTd
The numerical values for the essential components needed to construct (A.4-4) are given next in (A.4-5). According to Theorem 4.3-1 the rank of C (or the number of independent equations) is less than or equal to six. In other words, the complete TCI does not hold here, and it turns out that the number of independent differential equations which must be solved for the complete simultaneity is indeed less than six. We invite the reader to extract this number.
oA ~o~ 1 -0.1 o
-= af
oA -= aJ
oA
~; ~ r~ -O~87 ~.~~~], l~ 0 -7.87
oe I 0 - 0.0787 0.72404] oJ = -0.0787 0.72404 -4.9958 ,
o -7.87 859.4
oe -=
0.1 -0.46] -0.46 2.116 ,
10 -1046
(A.4-5a)
(A.4-5b)
(A.4-5c)
(A.4-5d)
Appendix A - Selected Numerical Applications 573
~o 1 aA = 0 0 aT
d 0 _104
A.4.c.
o 1 o , 104
~o 0 ac = 0 0 aT
d 0 -7870 o 1 o .
1.6102 x 106
(A.4-5e)
This analysis is perlonned using Algorithm 5.6-1 (single-parameter variations). Note that we have extensively studied this type of applications in Chapter Five. There are, however, a few additional or special cases that are not yet explored. For instance, to study the stability robustness analysis of (A.3-19) with respect to Td and J, we note that the corresponding "~S" becomes a type E situation (cf., § 5.5.2). Here, we let "epsilon" be chosen as l!fd or 1/J in order to determine the largest-single variations for Td, and J. The stability of Ai is found to be not sensitive to the variations in Td so long as Td remains positive. Similar procedure yields that the convergence process for finding the "largest" variations in J is very slow due to this conservative procedure. We invite the reader to study this issue. Here, Al is given in (A.3-17), and with Q = I and the perturbation matrix
(~Al)K = 10K [-2~.5 ~ - ~.8l, (A.4-6) o 0 0
the largest 10K at iteration seven becomes -9.931. Similarly, at the second iteration the £r becomes 95.65.
A.4.d.
The synthesis procedure is perlonned according to Algorithm 6.5-1. We note that from practical point of view, the actual optimal controller gain is that consisting of A = 234.34 and. AP = ~9.65, which the latter comes from adding the gains corresponding to 9(t) and 0(t). This analysis is valid only for small-parameter vari-ations.
[~ 1
o 1 [~ 0 n A= -4.6 o , aA
0.46 (A.4-7a) aJ = 100 -100 0
b= [0, 0.787, O]T, ab _ T ill - [0, - 0.0787, 0] , (A.4-7b)
574 Appendix A - Selected Numerical App6cations
[1 0 0] W=2xlO-5, Wo= 0 0 0 ,
000 WI = [1~ ~ ~], X = r~ ~ ~].
000 ~ 0 1
Mter six iterations the algorithm stops at the following values:
gain matix of regulator = [226.3, 19.382, 6.4791 x 1O-4]T,
gain matix for sensitivity reduction = [8.0442, 0.14665, 0.1l786]T,
The optimal gain = [234.34, 19.529, 0.1l851]T.
A.4.e.
(A.4-7c)
(A.4-8a)
(A.4-8b)
(A.4-8c)
The regulator cost is Jp = X;PXo; where P = pT is the unique solution of AfP + PAl + Q = 0; with Al = A - bkT; and Q = Wo + kWkT.
Without sensitivity reduction (Le., only the regulator problem with the assumption that 9(t) == O(t», the optimal controller gain becomes
kJ = [223.61, 0, 18.699]. (A.4-9)
Correspondingly:
Al = [- ~76 -!.6 -1~.72]' Q = [~ ~ 0.~84], o 100 -100 0.084 0 0.007
[10998 568.18 6.2205]
P _=10-5 568.18 51.175 -3.3278. 6.2205 - 3.3278 3.9898
The optimal cost is Jp = x:;Pxo = 4.85092 x 10-4• .
(A.4-lOa)
(A.4-lOb)
With sensitivity reduction (assuming that 9(t) == O(t», the optimal controller gain becomes
~ = [234.34, 0, 19.65]. (A.4-11)
This solution is found by letting (A.4-9) be an initial optimal controller gain in a process of iteratively solving for the overall optimal solution resulting in
[ 0 1 0] Al = -184.43 -4.6 -15.46 ,
o 100 -100
[2.098 0 0.092]
Q= 0 0 0 , 0.092 0 0.015
(A.4-12a)
Appendix A - Selected Numerical Applications
[14415 568.78 8.728]
P = 10-5 568.78 68.704 -2.5274. 8.728 -2.5274 7.8907
575
(AA-12b)
The optimal cost is Jps = 7.15399 X 10-4• As expected the regulator cost has increased for the price of reducing system sensitivity measure, a typical trade off. Here, we have ~ :::: 1.05~, and we may postulate that perhaps 5% variations (that is small) in system parameters can be tolerated, before the system loses its "optimality" in the quadratic sense. In other words, we may not be able to find a quadratic PI if system parameters change by more than 5%. The resolution of this matter is at the heart of our assumptions in regard to the static-parameter variations. As stated before, in this type of problem formulation (we mean for all small-sensitivity formulations, whether they are treated in this book or not), where we have stretched the boundary of the linear time-invariant system to its limit, indeed what we are getting is in response to our limited hardware utilization and to our limited information regarding the nature of our system variations. Thus the system may become overdesigned in some aspects and although certain parameter variations may never take place. A resolution of one issue hinges on the other.
A.S. PROJECT
The main thrust of the preceding study is the parametric -sensitivity analysis and synthesis. For the sake of discussion, we discard various non-parametric disturbances in our system. We now propose to consider (A.3-11) with both yet) and net) present. Let net) be a zero-mean White noise with a known positive-definite intensity (covariance), and let the exogenous signal yet) be a "bounded" disturbance. At this juncture, it is clear that there are several ways to interpret the above "bounded" signal. Make your own nontrivial assumptions regarding this signal and in at least two different ways in the context of Table 6.1-1. Design the corresponding controllers and compare their performance and robustness.
Optional2: Consider Table 6.1-1 with (A.3-11) as its plant Design at least one controller for the remaining two cases in that table.
2 Two questions Professor Higgins asked in his tests, beside a few "optionals" (sometimes double and triple optionals)! The first question among several, which he always asked in every final examination, was: write the title of your textbook, its author, its publisher, the place and the year of publication. He used to emphasize how important this information is. Since everyone knew about this question, these parameters were memorized [and often remembered] by most students. However, the second question also among several, which he asked in every written Ph.D. qualifying examination and was by far more difficult and less predictable than the first one, was as follows. "Make your own numerical example in 'a certain area' which shows you have mastered the subject and complete its solution." (No one knew what that area might be: for instance, when I took mine the area was the maximum principle). It is in that spirit that the above question is raised. Although I wonder what would happen these days if someone asked a question like that in a Ph.D. qualifying examination?
APPENDIX B
LIST OF THE REFERENCES: A SENSITIVITY TREE
CHAPTER ONE: INTRODUCTION
[A] Representative Historical References. 13
[B] Representative Monographs. Books. Report and the Conference Proceedings. 15
[C] Survey Papers. 16
CHAYfER TWO: THE PRINCIPAL ASPECTS OF
SENSITIVITY THEORY
[A] General Mathematical References. 67
[B] General References on System Theory. 68
[C] Representative References on: Advanced System Theory. Optimal Control Systems.
Calculus of Variations. and Dynamic Programming. 69
[D] Certain Papers on Optimal Deterministic Control Systems. 71
[E] Representative References on the Theory of Errors Perturbation. and
Approximation Theory. 72
CHAPTER THREE: SENSITIVITY FUNCTIONS GENERATION
[A] Direct Computation and/or Simulation of Sensitivity Functions. 108
[B] Sensitivity Functions Generation "Low-Order Sensitivity Model". 109
[C] General Sensitivity Approaches with Applications. 109
[D] Sensitivity Analysis via Signal Flow Graph. 110 [E] Sensitivity Analysis for Oscillatory Systems. 111 [F] Sensitivity Functions Generation Linear Retarded Systems. 111 [G] Sensitivity in the Large Bounded Variations. 112
[H] Selected Sensitivity Analyses with Applications in Mechanical Systems. 112
Appendix B - List of the References
CHAPTER FOUR: ALGEBRAIC PROPERTIES OF SYSTEM MODELS
TERMINAL CONDITIONS INSENSITIVITY
[A] Algebraic Properties of the Matrices of a System Model, 130
[B] Terminal Conditions Insensitivity, 130
[C] Certain Issues in Guidance Theory As Pertain to Terminal Conditions Insensitivity, 131
CHAPTER FIVE: STABILITY ROBUSTNESS ANALYSIS
MANEUVERABILITY, AND SENSITIVITY IN THE LARGE
[A] Theory of Stability: Survey Papers and General References, 255
[B] Stability Robustness Analysis, Maneuverability, and Sensitivity in the Large
Group I: Matrices and Polynomials, 262
[C] Group II: Polynomials, 268
[D] Group III: Discrete-Time Systems, 274
[E] Group IV: The Classical Frequency-Domain / Servomechanism, 278
[F] Group V: Time-varying, Nonlinear, and Delayed Systems,
The Concept of Absolute Stability, 281
[G] Group VI: Stabilization Using the H- and Other Optimization Approaches, 288
[H] Root Sensitivity and Pole Placement, 289
[I] Eigenvalue and Eigenvector Sensitivity, 291
[l] Synthesis Considering Certain Sensitivity Equations Resulted From System Stability, 293
CHAPTER SIX: SENSITIVITY REDUCTION AND ROBUSTNESS
[A] Trajectory-Sensitivity Comparison/Feedback Properties of Linear Systems, 477
[B] Performance-Index Sensitivity Comparison, 478
[C] Optimality-Index Sensitivity: Analysis and Synthesis, 479
[D] Trajectory-Sensitivity Optimization, 481
[E] Sensitivity with Respect to System-Auxiliary Parameters, 483
[F] Sensitivity Reduction and/or Optimization: Other Methods and Applications, 484
[G] Optimal Inputs for System Identification/
Auxiliary Inputs for System Control (The Effects of the Human Operator), 488
[H] Sensitivity Considerations in Hardy Spaces, 489
[HI] Pertinent References on Feedback System Design and Mathematics, 489
577
578
[H2J Complex - Domain Approach. 490
[H3J State - Space Approach. 494
[H4J Operator Approach. 496
Appendix B - List of the References
[H5] Computational Issues and Optimization Approaches. 497
[H6] Applications and Extensions. 499
[I] Conference Proceedings I Reports and Book Reviews on Invariance Theory. 499
[I] Selected Techniques from Invariance Theory. 500
[K] Bounded Uncertainty and Disturbance Rejection. 503
[Kl] Bounded Uncertainty. 503
[K2J Disturbance Rejection. 507
[L] Sensitivity Analyses in Nonlinear. Time-Varying Systems. System Sensitivity Theory Statistically
Oriented, Certain Statistical Problems. and Certain Social and Economical Matters. 508
[M] Sensitivity Considerations in Nonlinear Systems, 511
[N] Sensitivity Considerations in Discrete-Time (Digital) Systems Sensitivity Reduction of
Systems with Time Lag. and Multi-Dimensional Digital Systems, 511
[0] Sensitivity Considerations in Distributed [Parameter] Systems. 513
[PI Sensitivity Issues in Selected Multidisciplinary Optimization Methods. and
Numerical Methods. 515
CHAPTER SEVEN: THE THEORY OF SENSITIVITY IN NETWORKS
[AJ Selected References on Network Theory. 537
[B] Representative Textbooks (or Reports) with Network Sensitivity Discussions:
Definitions. Analyses. Computational Procedures. and Compensation Theorem. 537
[C] Genera! Network Sensitivity: Definitions and Analyses. 538
[DJ Tolerances or Sensitivity in the Large of Networks. 539
[E] Sensitivity Model of Circuits. 541
[F) Network Elements Sensitivity and Energy Stored in the Network. Vratsanos' Theorem. 541
[G) Network Sensitivity Invariants and Bounds on Sensitivity Functions, 541
[H) Concept of Continuously Equivalent Networks Synthesis Procedures with
Sensitivity Invariants. 542
[IJ Network Synthesis with Minimum or Prescribed Sensitivity Measures. 543
[I] Sensitivity of the Cost Function in the Optimal Circuit Design. 544
[KJ Sensitivity Analysis and Synthesis in Active Networks. 544
[LJ Sensitivity Analysis in Digital Filters, 550
[M] Network Sensitivity Theory - Statistically Oriented, 552
[N] Tellegen' s Theorem; Generalized Adjoint Network and Network Sensitivity Computations. 553
[OJ Network Sensitivity Function Generation: Computational Procedures. 554
[P] Sensitivity Analysis of Nonlinear Networks, 556
APPENDIX C
JOURNAL ABBREVIATIONS AND ACRONYMS
ACCS
ACTA
AlAA J.
AlChE J.
AMO
ARC
ASME-JBE
ASME-JDSMC
Automatica
Automatisme
BSMM
BSTJ
CAC
CCy
CEEJ
CSSP
CTAT
Automatic Control and Computer Sciences English Translation of Avtomatika i Vychislitel'naya Tekhnika New York: Allerton Press Inc.
Automatic Control Theory and Applications Calgary, Canada: ACTA Press. (Name changed to CAC in 1981.)
Journal of the American Institute of Aeronautics and Astronautics (New York).
Journal of the American Institute of Chemical Engineers (New York).
Applied Mathematics and Optimization, An International Journal New York: Springer Verlag.
Automation and Remote Control English Translation of Avtomatika i Telemekhanika New York: Plenum Publishing Corporation.
The American Society of Mechanical Engineers, Journal of Basic Engineering. Name changed to several new transactions in 1972.
ASME - Journal of Dynamic Systems, Measurement, and Control.
The journal of the International Federation of Automatic Control (IFAC) Oxford: Pergamon Press.
Paris, France: Bordas - Dunod. Name changed to Nouvel Automatisme in 1978.
Boletin de la Sociedad Mathematica Mexicana
Bell System Technical Journal.
Control and Computers Calgary, Canada: ACTA Press.
Control and Cybernetics Polish Academy of Sciences.System Research Institute. Warsaw: PWN - Polish Scientific Publishers.
Canadian Electrical Engineering Journal The Canadian Society of Electrical Enginering.
Circuits, Systems, and Signal Processing. Boston: Birkhauser Verlag.
Control Theory and Advanced Technology Tokyo, Japan: MITA Press.
580
DEDSTA
DSS
ECJ
ECy
EEl
Elect. Lett.
FCE
IC
lEE
lEE, EE Trans.
IEEE
lEEE-JRA (now TRA)
IEEE-JSSC
IEEE-TAC
lEEE-TAES
IEEE-TANE
lEEE-TCAS
lEEE-TCST
lEEE-TCT
lEEE-TE
IEEE-TPAS
lEEE-TR
IEEE-TRA
lEEE-TSMC
IEOT
IJACSP
Appendix C - Journal Abbreviations and Acronyms
Discrete Event Dynamic Systems, Theory and Applications Boston: Kluwer.
Dynamics and Stability of Systems, An Internationalloumal Oxford: Oxford University Press.
Electronics and Communications in lapan English Translation of Denshi Tsushin Gakkai Ronbunshi Washington: Scripta Publishing Company.
Engineering Cybernetics English Translation of Tekhnicheskaya Kibernetika Washington: Scripta Publishing Company. Name changed to SlCSS in 1985.
Electrical Engineering in lapan English Translation of Denki Gakkai Ronbunchi Washington: Scripta Publishing Company.
Electronics Letters The Institution of Electrical Engineers (London).
Foundation of Control Engineering Institute of Control Engineering, Technical University of Poznan, Poland.
Information and Control New York: Academic Press.
The Institution of Electrical Engineers (England).
The Institution of Engineers (Sydney Australia) Electrical Engineering Transactions
Institute of Electrical and Electronics Engineers (New York).
IEEE -1. (now Trans.) of Robotics and Automation.
IEEE - 10urnal of Solid State Circuits.
IEEE - Transactions on Automatic Control.
IEEE - Transactions on Aerospace and Electronic Systems.
IEEE - Transactions on Aerospace Navigational Electronics.
IEEE - Transactions on Circuits and Systems (formerly Circuit Theory).
IEEE - Transactions on Control Systems Technology.
IEEE - Transactions on Circuit Theory.
IEEE - Transactions on Education.
IEEE - Transactions on Power Apparatus and Systems.
IEEE - Transactions of Reliability.
IEEE - Transactions on Robotics and Automation.
IEEE - Transactions on Systems Man and Cybernetics.
Integral Equations and Operator Theory. Boston: Birkhauser Verlag.
Int. 1. of Adaptive Control and Signal Processing New York: A Wiley - Interscience Publication.
Appendix C - Journal Abbreviations and Acronyms 581
IJG
IJCTA
IJE
IJSS
IRE
IRE-TAG
IRE-TCT
IRE-11T
JAMM
JASE
JDE
JEM
JFI
JGGD
JMAA
JMM
JMP
JOGAM
JOT
JOTA
MGSS
MP
MSSP
International Journal of Control London: Taylor & Francis Ltd.
Int. J. of CIRCUIT THEORY and APPLICATION London: John Wiley & Sons.
International Journal of ELECTRONICS Theoretical and Experimental London: Taylor & Francis Ltd.
International Journal of Systems Science London: Taylor & Francis Ltd.
Institute of Radio Engineers (now IEEE).
IRE - Transactions on Automatic Control.
IRE - Transactions on Circuit Theory.
IRE - Transactions on Infonnation Theory.
Journal of Applied Mathematics and Mechanics (Translated from Russian) Oxford: Pergamon Press Ltd.
Journal of Applied Science and Engineering Amsterdam: Elsevier Scientific Pub. Company. (Apparently seized publication.)
J. of Differential Equations San Diego: Academic Press.
Journal of Engineering Mathematics Leyden, Netherlands: Noordhoff Int. Pub. Company.
Journal of the Franklin Institute Oxford: Pergamon Press Ltd.
J. of Guidance, Control, and Dynamics. A publication of the AIAA.
J. of Mathematical Analysis and Applications New York: Academic Press.
Journal of Mathematics and Mechanics.
Journal of Mathematics and Physics.
J. of Optimal Control Applications & Methods New York: A Wiley - Interscience Publication.
Journal of Operator Theory Bucharest, Romania: Romanian Academy of Sciences.
Journal of Optimization Theory and Applications New York: Plenum Publishing Company.
Mathematics of Control, Signals, and Systems New York: Springer Verlag.
Mathematical Programming Amsterdam: North Holland Publishing Company.
Multidimensional Systems and Signal Processing Boston: Kluwer.
582
Network
PCIT
Proc. ( ... )
RA
SA
SAC
SAM
Sc. E
Sc. S
SCL
SIAM
SIAM I. Contr.
SIAM-ICO
SIAM-lAM
SIAM-INA
SIAM-ISSC
SIAM R.
SIAIS
SICSS
TIMC
TMR
ww
Appendix C - Journal Abbreviations and Acronyms
An International Journal New York: John Wiley and Sons.
Problems of Control and Information Theory Budapest: Hungarian Academy of Sciences.
Proceedings of the ( ... )
Ricerche di Automatica Rome: Oderisi Gubbio. (Apparently seized publication.)
Soviet Aeronautics English Translation of Izvestiya VUZ Aviatsionnaya Tekhnika New York: Allerton Press Inc.
Soviet Automatic Control English Translation of A vtomatyka Washington: Scripta Publishing Company. Name changed to SIAIS in 1985.
Soviet Applied Mechanics English Translation of Prikladnaya Mekhanika Washington: Scripta Publishing Company.
Scientia Electrica Zurich: Birkhauser Verlag.
Scientia Sinica Bijing (or Peking): Science Press.
Systems and Control Letters Amsterdam: Elsevier Scientific Pub. Company.
Society for Industrial and Applied Mathematics.
SIAM - Journal of Control, up to 1975.
SIAM - Journal of Control and Optimization, from 1976.
SIAM - Journal of Applied Mathematics.
SIAM - Journal of Numerical Analysis.
SIAM - Journal of Scientific and Statistical Computing.
SIAM Review.
Soviet J. of Automation and Information Sciences English Translation of Avtomatyka Washington: Scripta Technica Publishing Company.
Soviet J. of Computer and System Sciences English Translation of Tekhnicheskaya Kibemetika.
Transactions of the Institute of Measurement and Control London: England.
The Marconi Review Chelmsford, Essex, England. (Absorbed by the GEC J. of Research in 1983.)
Wireless World Electronics, Television, Radio, Audio London, England.
AUTHOR INDEX Auba, T., 497 Barker, H.A., 109 Aulbach, B., 262 Barkin, Al., 282 Auslander, D.M., 508, Barmish, B.R., 131, 164,
510,518 203,205,262,263, Ayerbe, A, 550 264, 269, 270, 272,
Aatre, V.K., 528, 547 Anderson, B.D.O., 68, Ayiku, MN.B., 514 273,274,281,282, Abdul-Wahab, AA., 69,255,268,271, Azanov, M.V., 501 286,504, 505, 506
262, 274, 296 276, 281, 289, 477, Aze, D., 515 Bar-Ness, Y., 483 Abed, E.H., 255, 265, 273 498,505,508,510, Azema, P., 111 Barnett, S., 68,112,116, Abouelwafa, M.A., 481 547, 551, 556 Aziz, A, 274 130, 134, 142,219,255, Abraham, J., 515 Anderson, P.M., 552 256,262,267,272,277, Abramovici, F., 258 Anderson, W J., 294 282, 500, 511 Abu EI-Ata-Doss, S., 513 Ando, K., 281 Baartz, A.P., 257 Barry, P.E., 484 Aburdene, M.F., 109 Andreev, Y N., 68, 255 Babak, S.F., 269 Barthelemy, J.F.M., 515 Acar, C., 530, 552 Andres, R.P., 279 Bacciotti, A, 261, 282 Bartlett, A.C., 269, 271, Acha, J.1., 550 Andronov(w), AA, 5, 13Bachler, HJ., 526, 544 274,275,496 Achieser, N.L, 67, 72 Andronov, V.G., 293 Bachmann, W.K., 72 Barna, A., 544
(cf., Akhiezer, N.L) Andrusevich, V.V., 281 Badr, R.I., 262 Basar, T., 499, 507 Ackermann, J., 278,293, Ansari, R., 550 Bahgat, A., 296 Basile, G., 504
294 Ansell, H.G., 541 Bahill, AT., 109 Basov, V.P., 258 Adamjan, V.M., 489 Antoniou, A., 550 Bahnasawi, A.A., 276 Bastelaer, P.V.(van), Adams, J.W., 550 Antoulas, A.C., 497 Bahri, Z., 284 523, 525, 542, 543 Adby, P.R., 109, 552 Antsaklis, PJ., 264,477 Bai, E.W., 274,493 Bateman, H., 5, 13, 14 Ae, T., 541 Aoki, M., 69, 358,479, Bainov, D.D., 261 Batni, R.P., 259 Agarwal, R.C., 529, 550 488 Baizaev, S., 255 Batson, R.G., 515 Aggarwal, J.K., 112, Apkarian, P.R., 293 Bakan, G.M., 293, 503 Baumeister, J., 255
255,480,500,502 Aplevich, J.D., 480 Bakri, T.M., 291 Baxter, J.R., 109 Agnew, D., 536, 555 Araki, M., 255 Balaban, P., 530, 552 Bayard, D.S., 69 Ahmadi, G., 281 Aravena, J.L., 511 Balakrishnan, A(V.), Bayoumi, M.M., 289 Ahmadi, M., 263 Arbel, A, 293 293,497, Becker, N., 479 Aivazyan, E.Y., 281 Arbib, M.(A.), 68, 70 Balas, MJ., 293 Becker, R.G., 108 Aizerman, M.A., 241, Argoun, M.B., 268, Balasubramanian, R., 282Bedford, D.K., 546
255, 281, 503 269,278 Ball, J.A., 489, 492, Bedri, Y., 544, 549 Akashi, H., 512 Arora, J.S., 113 495,496 Beers, Y., 72 Akhiezer, N.I., Arov, D.Z., 489 Bamberger, A, 513 Bekey, G.A., 512, 513
(cf., Achieser, N.I.) Arshad, M., 284 Bamieh, B., 490, 507 Belanger, P.R., 3, 265, Alami, M., 545 Artzrouni, M., 255 Banda, S.S., 268, 269, 311,484 Albrecht, F., 69 Asai, K., 131 281,496,497 Belen'kii, A.S., 504 Alden, R.H., 293 Asher, R.B., 108, 130 Bandler, J.W., 535, Belhouari, A, 262 Alderson, G.E., 554 Ashworth, MJ., 15,293 543, 554 Bell, DJ., 68, 267, 481 Alekperov, V.P., 255 Asner, B.A, 259 Bandoni, J., 272, 294 Bellman, R., 14, 109 Aleksandrov, AG., 288 Astolfi, A., 507 Banks, H.T., 112, 500 Bello, V., 528, 544 Aleksandrov, Y.V., 479 Athani, V.V., 478 Barabanov, A.T., 255 Belousov, Y.G., 293 Alekseyev, O.G., 543 Athans, M., 69, 71, 268, Barabanov, N.E., 255, Belove, C., 538, 552 Ali, A.M., 529, 550 280, 315, 317, 358,480, 262,282 Benedict, R., 112 Alimov, Y.1., 466, 503 488,490, 505, 508 Baranov, N.P., 510 Benhabib, RJ., 278 Allwright, J.C., 76, 108 Atherton, D.P., 255, Barbashin, E.A., 255, Bennett, A.W., 511 Amillo, J., 288 282,508 462,504 Bensoussan, D., 477, 493 Anagnost, JJ., 268, 272 Atlurl, S.R., 311, 479 Barbini, P., 552, 553 Berger, C.S., 273, 277, Anandamohan, P.V., 544 Attarzadeh, F., 255 Bar-Itzhack, LY., 112 280,484, 515
Bar-Kana, I., 282
584 Author Index
Bergman, NJ., 110 Bodner, V.A., 484 Bruevich, N.G., 5, 14 Cesar, M.O., 256 Berkovitz, L.D., 70 Boekhoudt, P., 490 Bruinsma, N.A.,497 Ceyhun, Y., 536, 541,554 Berman, 0.,488,508 Boese, F.G., 289 Bruton, L.T., 528, 529, Chaikin, C.E., 13 Bemfeld, S.R., 257, 505 Bohling, D.M., 539 545,550 (cf., Khaikin, S.E.) Bernhard, P., 499 Boley, D., 552 Bryant, G.F., 281 Chakravarti, N., 515 Bernstein, D.S., 256, 264,Boltyanskii, V.(G.), Bryant, P.R., 540, 554 Chakravarti, P.C., 293
274, 282,479,494, 495 14, 70 Bryson, A.E.(Jr.), 69, Chalstrom, R.E., 549 Bernussou, J., 262, 504 Bongers, P.M.M., 494 131,281 Chan, C.K., 267 Bertele, U., 130 Bongiorno, JJ, Jr., Bucy, R.S., 69 Chan, S.P., 527, 548,549 Bertram, J.E., 132,258 489,490 Budak, A., 528, 545, Chan, W.S., 477, 490 Bertrand, P., 265 Bonivento, C., 358, 548 Chandrashekar, M., 538, Best, MJ., 515 488, 500 Buie, R.N., 515 554 Betz, R.E., 291 Bordewijk, J.L., 520, Bukov, V N., 488, 504 Chang, B.C., 269, 494, Bhargava, D.K., 545 537,554 Bukowski, M., 541 496,497,507 Bhatia, N.P., 256 Borisenko, Y.G., 285, Bure, E.G., 111 Chang, C.H., 294 Bhattacharya, M., 550 511 Burgat, C., 282 Chang, F.R., 498 Bhattacharyya, A.B., Borisov, V.G., 500 Burke, M., 481 Chang, S.S.L., 69, 263,
546, 556 Boron, L.F., 67 Burns, Rl., 479 484 Bhattacharyya, B.B., 549 Borushko, Y.M., 269 Burrascano, P., 550 Chao, C.H., 504, 506 Bhattacharyya, K.C., 294 Borys, A., 544, 556 Burrus, C.S., 529, 550 Chaparro, L.F., 272, 276 Bhattacharyya, S.P., Bose, N.K., 269, 271, Burzio, A., 296, 484 Chapellat, H., 270, 274,
256,265,270,274, 274,543,544 Bushaw, D., 70 278,282,507 278, 282, 294, 507 Bosgra, O.H., 494 Buslowicz, M., 267, 282 Charlet, B., 282
Bhaya, A., 278 Bouguerra, H., 269 Butcher, J.C., 276 Chatterji, B.N., 479 Bhushan, e., 542 Bourles, H., 282 Butler, E.M., 484, 539 Chavent, G., 513 Bialas, S., 263, 269 Bowron, P., 546, Butler, Wl., 538, 539 Chazan, D., 72 Bialko, M, 528, 544 Boychuk, L.M., 435, Butterworth, S., 14 Cheetham, B.M.G., 524, Bien, Z., 264 446, 500 Buys, J.D., 515 542 Biernacki, R.M., 269, 278Boyd, S., 497 Byers, R., 515 Chegancas, J., 282 Biey, M, 544 Bradshaw, E., 14 Bykhovskiy, M.L., 4, Chehab, Y., 276 Bigelow, J.H., 515 Bradt, Al., 481, 483 14, 537 Chekhovoy, Y.N., 282, 28~ Bilal, A.Y., 262 Brajovic, V., 108, 109 Byrne, P.C., 481 Chelpanov, LB., 271 Bingulac, S.P., 15, 108, Branin, P.H, Jr., 535, 554 Chen, B.M., 477, 497
484 Brasch, F.M, Jr., 289 Chen, B.S., 263, 266, Birkhoff, G., 67, 256 Brayton, R.K., 554 Cajka, J., 539 278,280,283,288, Bisiacco, M., 256,550 Breakwell, J.V., 131 Calahan, D.A., 537 289,506 Biswas, RN., 108 Breiner, M., 279 Callier, F.M., 71,490 Chen, C.F., 256 Bitmead, R.R., 255, Bremmer, H., 68 Caloba, L.P., 545 Chen, C.L., 270
281, 289 Brewer, J.W., 108 Campbell, D.P., 5, 14 Chen, C.M., 272 Bjerhammar, A., 72 Brice, N.M., 527, 544 Cao, X.R., 508 Chen, C.T., 68, 256, Blinov, LN., 109 Brockett, R.W., 68, 70, Caratheodory, C., 67 291, 486 Bliss, G.A., 69 114, 115, 256, 258, Carlock, G.W., 484 Chen, D., 295 Bloch, A.M., 282, 281,477 Cassandras, e.G., 509 Chen, G., 283, 497,507 Blostein, M.L., 523, Brown, D.P., 108, Cassidy, J.F, Jr., 481 Chen, J., 263, 276
525, 541, 542 538, 553 Castanon, D.A., 505 Chen, J.D., 267 Blume, L.E., 504 Brown, G.S., 5, 14 Cataltepe, T., 542 Chen, JJ., 507 Bobrovsky, B.Z., 479 Brown, W.A., 479 Cauer, W., 524, 537 Chen, K.H., 290 Bobylev, N.A., 282 Brualdi, R.A., 518 Cavallo, A., 270 Chen, Ml., 278 Boctor, S.A., 544 Bruckmann, D., 545 Cavin, R.K., m, 294, 295Chen, S.H., 554 Bode, H.W., 4,14,537 Bruckner, J.M.H., 487 Cefola, Pl., 131 Chen, S.S., 291
Celentano, G., 264, 270
Author Index 585
Chen, W.K, 520, 537 Coddington, E.A., 67, Dafermos, S., 515 Del Rio Castillo, R.R., Chen, W.L., 263 256 Daggett, KE., 545 256 Chen, W.S., 477, 490 Cohen, N., 496 Dahleh, M., 270, 274, DeIsarte, P., 489, 490 Chen, Y.H., 264, 488, Cole, J.D., 73 282,507 De Man, H., 554
504 Coleman, N., 486 Dahleh, MA., 270, 288, DeMarco, C.L., 263, 267 Chenais, D., 112,515 Collado, J.M, 286 475,507,508,512 De Maria, G., 270 Cheney, E.W., 72 Collins, D.C., 486 Dai, S.H., 480 Dembo, RS., 515 Cheok, KC., 512 Collins, E.G., Jr., 264, Daijavad, S., 554 Dement'yeva, V.V., 131, Cheres, E., 283 275 Dailey, RL., 291 502 Chernousko, F.L., 70 Colon, F.R., 556 Dandeno, PL., 294 Demmel, J.W., 256, 515 Chernyavs'ka, S.S., 111 Colonna, S., 550 D' Angelo, H., 481 Dem'yanov, V.F., 72 Chestnut, H., 5, 14 Combettes, P.L., 291 Daniel, J.W., 71 Denery, D.G., 109 Chi, H.H., 291 Commault, C., 507 Daniel, RW., 278 Deng, J.L., 268, 277 Chiang, C.C., 278, 283 Conan, J., 484 Daniels, A.R., 484 Deodhare, G., 507 Chiang, H.D., 283 Connor, M.A., 512 Dannan, F.M., 256 de Oliveira, C., 292 Chiang, RY., 281, 385, Conte, G., 491 Daoyi, X., 263 de Oliveira, J.C.F., 257
417,495 Conway, J.B., 489 Darkhovskii, B.S., 256 Dergacheva, E.I., 142, Chiang, S.M., 112, 512 Cook, W., 515 Darwish, M., 484 263,283 Chien, C.M., 507 Cooke, KL., 283 Dasgupta, S., 274 DeRusso, P.M., 481 Chikte, S.D., 504 Corless, M.(J.), 276, Datar, R.B., 545 Dervisoglu, A., 520, 537 Chimishkyan, S.Y., 283 283,296,504 Datko, R, 70 Desages, A., 272, 294 Chin, P.S.M., 256 Coskunoglu, 0.,487 Datko, R.F., 257 DeSantis, R.M., 258,477, Chinaev, P.I., 500 Courant, R, 67 Dauer, J.P., 263 484, 509, 510 Chiou, J.C., 517 Courtin, P., 310,478, Davis, G.W, Jr., 109 Desoer, C.A., 68, 69, 257, Chiou, KL., 283 486,510 Davis, J.M., 513 259,261,268,272,278, Chirlian, P.M., 540, 552 Cowley, D., 276 Davis, P.J., 72 292,294,477,490 Cho, KM., Crane, RN., 481 Davison, E.J., 272, 278, de Souza, C.E., 494, 496 Choatai, A., 266, 280, Crochiere, R.E., 529, 550 292,492 Devanathan, R, 288
286 Cronin, J., 256 Dax, A., 515 Dickman, A., 263 Choi, KK, 16, 113 Cross, E.R., 482 De Abreu-Garcia, J.A., Diligenskii, S.N., 257,500 Chon, C.T., 112 Crossley, T.R, 139, 276 Dillon, T.S., 484 Chopra, 1.,113,295 291,294 Deards, S.R., 541 Dillow, J.D., 108, 130 Chou, H.H., 288, 289 Crouch, J.G., 294 de BUda, R.G., 541, 543 Di Mambro, P.H., 555 Chou, J.H., 263 Cruz, J.B, Jr., 15, 25, DeCaro, S.M., 291 Diniz, P.S.R, 545, 550 Chouinard, L.G., 263 69, 112, 114, 115, DeCarlo, R., 538, 554 Dion, J.M., 506, 507 Chow, P.L., 283 130,256,279,303, Decauline, P., 70 Director, S.W., 530, 534, Christen, E., 549 304,310,455,456, Deekshatulu, B.L., 483 553, 554, 555 Christie, S.H., 4, 14 457,477,478,480, de Figueiredo, RJ.P., Djaferis, T .E., 270 Christodoulou, M.A., 259 482,483,484,485, 283,497,507 Doganovskii, S.A., 511 Chu, C.C., 497 486, 500, 509, 510, de Gaston, RR.E., 278 Dolezal, V., 257 Chu, c.K., 513 511, 512, 540 Degtyareva, N.F., 514 Domanski, M., 550 Churnakov, N.M., 500 Csaki, F.G., 68 Deif, A., 15, 515 Doraiswami, R., 278, 279 Cirie, V.V., 481 Cullmann, G., 72 DeJulio, u., 550 Dorato, P., 15, 303, 304, Clark, L.G., 112,261, Cullum, J., 71 Dekhtyarenko, P.I., 509 310,478,479,484
480,502,509 Delacour, J.D., 484 Dorf, R.C., 108,291,487 Clarke, F.H., 512, 515
Dabke, K.P., 273, 274, Delansky, J.F., 274 Dorrah, H.T., 508
Clifford, A.A., 72 DeIfour, M.C., 112 Dougherty, HJ., 481 Doud, DJ., 484 277, 280 Deliyannis, T., 544, 545 Downing, D.(R.), 294, 296 Cobb, J.D., 263 Dabrowski, A., 545 del Nero Gomes, A.C., Downs, T., 539, 540 Cochran, J.E., Jr., 131, da Cruz, JJ., 283, 360, 507
256 488
58(; Author Index
Doyle, J.(C.), 279, 301, ES~,C:,550,551 Fleishman, B.A, 258 Gadenz, RN., 528, 540,
380, 385,491,492, Evans, RJ., 268, 291 Fleming, J.A, 131 545,552
494,497 EVeIS, A.H., 515 Fleming, P J., 323, 481 Gagliardi, R.M., 358, 488
Dreyfus, S.E., 70 Evnin, A.Y., 503 Fleming, W.H., 70 Gahinet, P.M., 516
Duckenfield, M.J., 516 Eykhoff, P., 489 Foias, C., 490, 491, Gaiduk, A.I., 241, 257
Dugard, L., 506 Eyler, M.A., 509 512,514 Gaiduk, A.R., 501
Duffield, T.L., 289 Fokin, O.V., 502 Galimidi, A.R., 264, 265,
Duinker, S., 553 Fomenko, ON., 511 271,505
Dunford, N., 67 Fabian, E., 264 Fomin, S.V., 70 Gamkrelidze, R.(V.), 14,
Dunn, J.C., 479 Fabre, A., 545 Fong, IK., 271, 481 70
Durante, C., 111 Fagnani, F., 496 Foo, N.Y., 257 Gandelman, J., 16
Duren, P .L., 67, 380,490 Fahmy, M.M., 258 Foo, Y.K., 262, 264, Gantmacher, F.R., 67, 281
Dutta Roy, S.C., 545, 550Faibusovich, L.E., 257 270,272,279,290, Gao, W.B., 267
Dzhamanbaev, A.A, 503 Fairbairn, N.A., 491 491,498 Gao,Z.,264 Fairman, F.W., 482 Foord, T.R., 14 Garabedian, P.R., 67 Falb, P.(L.), 69, 70 Ford, A., 110, 509 Garashchenko, F.G., 264,
Eads, B., 547 Falk, J.E., 70 Foss, A.M., 294 283 Eccles, WJ., 487 Fam, A.T., 457,501 Fragopoulos, D., 491 Gardiner, P., 509 Eckhaus, W., 257 Fan, M.K.H., 272, 494 Franca, L.N.F., 257 Gardiner, P.C., 110 Edwards, J.B., 294 Fan, S.P., 556 Francis, B.A., 279, 289, Gardner, W.A., 550 Efremov, A.Y., 500 Fang, C.H., 498 301,380,385,490, Garland, B., 112 Efthymiatos, D., 509 Fang, HJ., 507 491,492,493,494 Garloff, J., 269, 271 Eirola, T., 482 Fantin, J., 484 Francis, N.D., 292 Garofalo, F., 264, 505 Elangovan, S., 289 Farison, J.B., 275, 276 Frank, P.M., 15, 110, 478 Garrard, W.L., 113, 483 Elaydi, S., 256 Farsi, M., 275 Franklin, IN., 67, 257 Gass, S.I., 16, 518 El Ghaoui, L., 294 Fassois, S.D., 515 Franklin, SN., 294 Gavrilovic, M., 110, 485 El-Hodiri, M., 484 Faxun, L., 270 Frannin, D.R., 287 Gayev, ·S.M., 543 El-Kady, M.A., 535, 554 Fedenia, M.M., 291 Frazho, A.E., 492 Geddes, EJ .M., 493 Elkin, V.I., 501 Feintuch, A., 509 Freudenberg, J.S., 256, Geffe, P.R., 545 Ellis, J.B., 541 Feldbaum, A.A., 70 279,478, 512 Geher, K., 538 El-Masry, E.I., 545 Ferreira, J.M., 283 Fronza, G., 130,481 Geiger, R.L., 528, 545, Elmetwally, M.M., 294, Ferreira, P .M.G., 279 Fu, L.C., 505 548
485 Fettweis, A., 529, 544, Fu, M., 262, 264, 270, Gelb, A., 70 Elsgoc, L.E., 70 550 275,283,494 Gelfand, I.M., 70 El-Turky, F.M., 526, Fmcco, A. V., 15, 515, Fu, M.Y., 270 Gelig, A.K., 257, 283
540,544 516 Fu, S., 481 Gembicki, F.W., 516 Eman, K.F., 515 Fidler, J.K., 110, 522, Fu, Y.,481 Genesio, R., 257, 264, Emami-Naeini, A., 295 535,540,542,555 Fuji, N., 545 283 Emig, P., 490 FJlatov, LV., 509 Fuji, T., 485 Geniri, Y., 489, 490 Engell, S., 16 Filipkowski, A., 541 Fujita, M., 279, 495,507 Georganas, N.D., 358, 488 Englehart, M.J., 491 Filippov, A.F., 257, Fukao, T., 294 Georgiou, T.T., 288, 498 Enns, D.F., 497 504,505 Fukata, S., 512 Gerards, A.M.H., 515 Epelman, M.S., 455, 502 Froin, G.S., 500 Fukui, A., 546 Gerasimov, AN., 111 Erickson, D.L., 509 Fischer, J., 14, 15 Fukui, Y., 547 Gerber, PD., 548 Ermachenko, A.N., 485 FISChl, R., 479, 514 Fukuma, N., 286 Gerencser, H., 516 ESlami,M., 15, 16,69, Fisher, D.B., 482 Fuller, A. T., 485, 488 Geromel, J.C., 264, 283,
71, 108, 263, 264, Fisher, D.G., 296 Funahashi, Y., 497 360,488,504 267, 268, 270, 274, Fishwick, W., 13 Furuta, K., 506 GeveIS,M., 551 283,477,480,481, Flamm, D.S., 491 Ghaemmaghami, P., 292 488,550 Flashner, H., 113, 287 Ghausi, M.S., 15, 528,
Espinoza, J .L., 528, 549 Fleischer, P .E., 528, 545 529,530,538,544,
Author Index 587
546, 547, 548, 549, Govil. NX., 275 Gurdal, Z., 112 Hardy, G.H., 67 552, 553 Govindarajulu Naidu, Guruprasada Rau, V., 294Harrison, G.W., 264
Ghodekar, J.G., 295 M.G.,543 Gutman,S., 271, 283, Harrison, R.F., 289 Ghose, D., 499 Gradshtein, 1.5., 14 460, 466, 505 Harvey, C.A, 16, 66 Gibson, J.A, 292, 482 Graf, P .L., 485 Guzinski, A., 528, 544 Hasegawa, K., 290, 502 Gibson, J.S., 263, 266, Grainger, G., 546 Hashemi. G.H., 541
509 Grasselli, O.M., 108, Hashimoto, M., 546 Giguere, J.C., 542 501,507 Ha. U.,S05 Hashish, M., 109 Gil', M.I., 284 Graupe, D., 70, 479, 480 Haack, G.R., 543 Hashish, M.A, 110 Gilbert, E.G., 68, 290 Gray, J.O., 287 Hached, M., 284, 285 Hassan, M., 485 Gil'bo, E.P., 271 Green, M., 491, 494 Haddad, A.H.,485 Hassan, M.A, SOl Gille, J.C., 70 Green, W.L., 284 Haddad, R.A., 279 Hassan, M.F., 258, 262 Gillingham, P., 545 Greenlee, T.L., 294 Haddad, W.M., 479, 494, Hasse, A.B., 527, 545 Girling, F.EJ., 546 Greenlee, W.M., 294 495 Hattis, PD., 280 Glazman, I.M., 67 Greenwood, D.T., 294 Hafez, W., 109 Haug, EJ., 16, 112, 113 Glielmo, L., 264 Grenander, U., 72 Haftka, R.T., 112,293 Haug, K., 546 Glover, K., 288, 301, Greschak, J.P., 263 Hague, B, 4, 14 Hawkins, T., 67
380, 385, 491, 492, Grewal, H.K., 554 Hahn, W., 257 Hayashi,S., 271 493,494,495, 496, 497 Griffin, A W J., 485 Haimes, Y.Y., 516 Haykin, S.S., 538, 539
Godbout, L.F., 110 Griffin, R.E., 485 Hakim, S.S., 527, 546 Hayland, D.C., 264, 275 Goddard, PJ., 522,540, Grigor'ev, V.V., 294 Hakimi, S.L., 540, 543 Haynes, D.A, 131
552 Grimble, M.J., 16,294, Hakkapakki, S.L., 291 He, L., 498 Goethals, J.M., 516 491,492 Halanay, A,499 Hedrick, JX., 113 Goette, J., 546 Grimm, W.M., 275 Hale, J.K., 257 Heinen, J.A, 264, 274, Goh, B.S., 70 Groom, NJ., 265 Haley, S.B., 522, 538, 275,293 Goknar, I.C., 68 Grubel, G., 477, 478, 482 540 Heise, S.A, 496 Gold, B., 538 Grudev, KL., 542 Halikias, G.D., 495 Hejrno, W., 511 Goldowskaja, N., 13 Grujic, L.T., 284 Hall, AC., 14 Heller, J.(E.), 479, 486 Gole, AM., 539 Gu, D.W., 289, 290, 492, Halpern, M.E., 295 Helton, J.W., 489, 491, Golembeski, IJ., 530, 495,498 Ham, J.M., 501 492
546, 552 Gu, G., 281, 493, 505 Hamada, N., 271 Hendricks, T.C., 481 Gong, L., 259 Gu, K., 264 Harnalainen, R.P., 482 Henry, A.F., 507 Gong, W.B., 509 Guardabassi, G., 16, 109, Hamilton, T.A., 546 Heppenheimer, T.A, 131 Gouin, R., 515 115, 130,485 Hamilton-Jenkins, M.A., Herbert, RJ., 509 Gonuleren, AN., 552 Gudorzi, R., 500 292 Hermes, H., 70, 258, Gonzales, R.L., 477, 478 Guenther, R.B., 68 Hammond, P.H., 516 Herrera-Vaillard, A., 294 Gonzalez, O.R., 477 Guerin, J.P., 289 Harnza, M.H., 477, 481 Hertz, D., 258 Good, E.F., 546 Guesalaga, A.R., 499 Han, K.W., 294 Hewer, G.(A.), 264, 265, Goodall, D.P., 505 Guggenbuhl, W., 526, Hanafi, M., 545 266, 516, 517 Goodwin, G.C., 489 544, 546 Hanafy, A.(A.)R., 258, Higginbotham, E., 482 Gopal, M., 295,482 Guilandoust, M., 275 482 Higgins, TJ., 4,14, Gordon, S.P., 257 Guinzy, NJ., 485 Hanau, P.Th.L.M., 268 435, 557, 575 Gori-Giogi, C., 108, 501 Guiver, J.P., 271 Haneda, H., 259 Hilberman, D., 530, 552 Gorodetskii, V.I., 16 Gurnowski, I., 512 Hanneman, H.W., 542 Hilbert, D., 67 Gorodetskiy, V.I., 485 Guo, L., 498 Hanson, D.A, 509 Hill, DJ., 279 Gostev, V J., 275 Gupta, M.S., 546 Hanzon, B., 496 Hill, R.D., 295 Goujon, M.,480 Gupta, N.K., 82, 109, Happ, W.W., 111,555 Hihgen, A, 546 Gould, L.A, 507, 508 119,121,122,130,293 Hara, S., 277, 492, Hirnmelblau, D.M., 489 Gourishankar, V., 290, Gupta, S.C., 529, 551 499, 512 Hinrichsen, D., 264,265
296 Gupta, S.K., 295,510 Harada, K., 110,294 Hirarnatsu, Y., 546 Haraldsdottir, A., 294
588 Author Index
Hirano, K., 527, 546, 551 Huang, Q., 279 Jamshidi, M., 258, 263, Kamiya, Y., 295, 482 Hirsch, M.W., 283 Huelsman, L.P., 538 274 Kamp, Y., 489, 490 Hroamed, A, 262, 284, 5Euey, D.C., 549 Janin, R., 516 Kan, Y.S., 284, 501 Ho, C.S., 256 Hughes, P.C., 295 Jaworska, 1., 110 Kanatani, K.I., 509 Ho, C.W., 526, 544 Hui, S., 284 Jayasuriya, S., 272 Kane, J.H., 113 Ho, T.C., 275 Humphrey, C.H., 487 Jenq, Y., 551 Kanellakis, A., 275 Ho, Y.C., 69, 508, 509 Hung, Y.S., 265, 279, Jessel, G.P., 553 Kang, H.I., 269 Hochstadt, H., 67 280,494,495 Jiang, C.L., 265, 267, Kang, H.S., 479, 486 Hoft, R.G., 286 Hurwitz, A, 14 275 Kannai, Y., 514 Hokenek, E., 546 Huseyin, 0.,265, 543 Joannic, Y., 282 Kantor, J.C., 16, 279,499 Hollerbach, K., 499 Hvostov, H.S., 494 Johnson, C.D., 501 Kapania, R.K., 112 Hollot, C.V., 263, 265, Hwang, H., 278 Johnson, C.R., Jr., 255 Kaplan, D., 131
267,269,270,271, Hwang, S.Y., 111 Johnson, T.L., 71 Kaplan, W., 68, 70 272,274,275,284, Hyman, CJ., 72 Jonckheere, E.(A.), 281, Karas, V.M., 516 289,495 497 Karkas, D.A., 108
Holmes; W.H., 111 Jordan, D., 110 Karl, W.C., 263, 265, 275 Holt, A.GJ., 542, 546 Ichikawa, K., 284 J h P D 69 Kase all EM 289 491 osep, .. , n y, .., , Holtzman, J.M., 130, Iftar, A., 279 Joshi, S.M., 265, 284 Kasper, R., 525, 543
131,258,509 Iglesias, P.A., 494 Jovanovic, V., 539 Kas'yanov, V.A., 516 Hong, Z.C., 265,290 Ikeda, M., 289, 296 Juang, J.C., 497 Kaszkurewicz, E., 284 Hontoir, Y., 477, 482 ll'yasov, B.G., 269 Juang, J.N., 292 Katbab, A., 271, 275 Hopp, T.H., 505 Imanishi, H., 259 Juang, J.Y., 269 Katkovnik, B.Y., 486 Hopp, W J., 516 Imanudin, 131 Juang, Y.T., 265, 267, Kautsky, J., 290 Horiguchi, K., 271 Immirzi, P., 13 268, 271, 275, 290, 295 Kawatani, R., 495 Horing, S., 13, 131 Infante, E.F., 255, 257, Judd, L.F., 287 Kazerooni, H., 499 Horisberger, H.P., 265 259 Julich, P.M., 486 Keel, L.H., 256, 265 Hom, P., 548 Ingoldby, R.N., 131 Junkins, J.L., 292, Kelliris, G.T., 110 Homg, 1.R., 263 Inman, DJ., 291 Juricic, D., 510 Kelemen, M., 514 Horowitz, I.(M.), 5, 15, Inoue, K., 131,512 Jury, E.I., 258,268,269, Kelley, HJ., 131
279,486,514, 527, 546 Inoue, T., 546 271.272,273,274, Kelley, J.L., 67 Horton, W.P., 477 Ionescu, V .• 499 275,276,360,512 Kelly, G.L., 540 Hosenthien, H.H., 257 Irwin, C.L., 485 Kelly, J.J., 547 Hosoe, S., 110 Ishihara, T., 275, 512 Kelly, J.M., 486 Hou, J.W., 113 Ishitani, H., 485 Kabamba, P., 497 Kenney, C.(S.), 264, Householder, AS., 67 !sidori, A, 262, 507 Kabamba, P.T., 131,294 265,498, 516 Howard, D.R., 311, 485 Ito, H., 492 Kachanova, N.A., 500 Kerber, O.B., 285, 511 Howard, R., 70 Howitt, N., 524, 543 Howze, J.W., 256, 265,
295,507 Hsiao, C.H., 256 Hsiao, F.B., 266 Hsu, C.F., 268, 271,
275,481,505 Hsu, J.C., 70 Hsu, L., 284 Hsu, P.T., 69 Hu, H.Z., 278, 293 Huang, C.G., 277 Huang, P.C.K., 268
Ito, M., 110 Kadimov. Y.B., 485, 509 Kesavan, H.K., 538, 553 Ivakhnenko, A.G., 501 Kaelin, A, 546 Kestenbaum, A., 484 Ivanenko, V.I., 501 Ivanov, V.I., 538 Iwens, R.P., 278
Kaesbauer, D., 278, 293 Khabarov, V.S., 255 Kahne, SJ., 69, 482 Khaikin, S.E., 13 Kailath, T., 69 (cf., Chaikin, C.E.) Kaitala, V., 509 KhaIifa, I.H., 482
J Kalaba, R.E., 14, 109, Khalil, A, 544 abbarl, F., 265, 505 358, 488 Khammash, M.H., 507
Jabr, H.A., 490 Kalita, AS., 293 Khargonekar, P .P., 268, Jackson, L.B., 529, 550 Kalman, R.E., 70, 71, 269,275,279,284, Jackson, R.H.F., 516 132,258,281 285,288,301, 380, Jackson, R.L., 278 Kalouptsidis, N., 258 385, 491, 492, 493, Jacobs, O.L.R., 477 Kamen, E.W., 275, 284 494,495,496, 498, Jain, N.K., 536, 546, 556 Kamenetskii, V.A.,284 506,508,509 Jain, R., 110 Kamenetskiy, V.A., 265
Author Index 589
Kharin, Y.S., 501, 509 Kondrat'eva, N.V., 295 Kukhtenko, A.I., 435, LaSalle, I.P., 14, 70, 258 Kharitonov, V L., 164, Konstantinov, MM., 516 436,441,450, 500, 501 Lasiecka, I., 514
166,167,168,169, Koo, RL., 538 Kukhtenkov, L.P., 512 Lat.cbman, H., 280 203, 271, 275 Koosis, P., 490 Kukuliyev, RM, 501 Lat.chman, H.A, 289
Kheir, N.A, 111 K.orchanov, V.M, 296 Kulebakin, V.S., 436, 500Latimer, I.R., 109 Khorasani, K., 285, 505 Korevaar, I., 68 Kuliyev, E.Y., 485, 509 Lau, C.G., 525, 543 Khrustalev, MM., 131, Kom, GA, 538 Kumar, K.S.P., 479 Laub, AI., 498, 516
501 502 Komeyev, VA, 295 Kundu, P., 548 Laurent, F., 110 Kibzun, AI., 284, 501 Korovin, S.K., 503 Kundm, P., 294 Law, AM., 70 Kida, T., 523, 526, 541, Korshunov, AI., 285 Kung, F.C., 506 Lawson, 5.5., 550, 551
542, 544 Kosmidou, OJ., 265 Kung, S.Y., 490 Lazer, A, 260 Kiendl, H., 265 Kosut, RL., 255, 295 Kunieda, T., 546 Le, D.K., 492 Kihara, M., 296 Kosyuk, Y.V., 483 Kuntsevich, A.V., 295 Le, V.X., 493, 495 Kim, H.K., 539, 546 Kotov, E.O., 111 Kuntsevich, V.M., 265, Leal, M.A,266 Kim, I.H., 264 Kotta, Y.R., 501 295,500 Lebedev, D.V., 486 Kim, K.D., 269, 271 Kouikoglou, V.S., 516 Kuo, B.C., 70, 512 Lecrique, M, 480 Kim, S.W., 516 Koumboulis, FN., 507 Kuo, K.C., 481 Ledbetter, ID., 529, 551 Kimma, H., 280,281, Kouvaritakis, B., 16, Kuo, MC.Y., 514 Lee, A Y., 111 m~ __ ~ ~~~_ ~~-
Kinderlehrer, D., 285 Kozorez, V.V., 295 271,275,277,481 Lee, E.B., 69, 70, 71, King, R.E., 112 Kozyakin, V.S., 285 Kurcyusz, 5., 518 271,497,552 Kirchgraber, U., 258 Kraiman, A., 70 Kmogochi, K., 542 Lee, G.K.F., 291 Kirichenko, N.F., 505 Krasil'nikov, I.B., 285 Kurtaran, B., 480 Lee, HL., 545 Kirk, D.E., 70 Krasnosel'skii, M.A., Kushner, HJ., 510 Lee, I., 481 Kishi, G., 523, 541 258,285 Kuwahara, M, 286 Lee, M.R., 542, 546 Klafin, I.F, Ir., 110 Kraus, FJ., 269, 271, Kuznetsov, V.P., 285 Lee, S.C., 539, 547 Klein, G., 292 276 Kwakemaak, H, IS, 70, Lee, Y.B., 484 Kleinman, DL., 71, Krause, I.M, 491 280,492, 557 Lee, Y.S., 290
482,486 Krein, M.G., 489 Kwon, W.E., 258 Leeds, I.V.(Jr.), 481, Kline, U., 545 Kreindler, E., 69, 131, Kwon, W.H., 516 522, 524, 543, 547 Knob, A., 546 307, 323,478,479, Kyparisis, J., 516 Lefebvre, S., 477 Knyazev, A V., 258, 478 482, 511 Lefschetz, 5., 13, 258 Kobayashi, T., 514 Kreisselmeier, G., 477, Legge, C.G., 485 Koda, M., 512 478, 482 Ladikov, Y.P., 295 Lehnigh, S.H., 257 Kodama,S., 492 Krishman, R., 540 Lailly, P., 513 Lehtomaki, NA, 505 Koditschek, D.E., 258 Krishnan, V., 110 Lainiotis, D.G., 358, Leitman, M.B., 501 Kogan, I., 271 Krishna Rao, P., 482 481, 489, 509 Leitmann, G., 263, Kohn, R.V., 16, 113 Krivonozhko, V.Y., 516 Laker, K.R., 15, 527, 283,296, 472, 486, Koivo, AJ., 480, 512 Krogh, B., 478 528, 529, 530, 546, 504, 505, 506, 509 Kokame, H., 265, 266, Kropholler, H.W., 499 547, 549, 552, 553 Lemke, C.E., 15, 515
271,272,276 Krutin, V.I., 258 Laksberg, EA, 547 Lenz, K.E., 492 Kokotovic, P.V., 5,15, Krut'ko, PD., 295,502 Laksbmikantham, V., Leon, BJ., 543
16,108,255,290, Krutova, IN., 502 276,289 Leondes, C.T., 259, 260, 479,485,486 Ku, W.H., 529, 550 Lal, M., 542 477,481, 482, 509
Kolla, S.R., 275, 276 Kubiak, E.T., 280 Lam, J., 498 Leonov, GA, 285, 295 Kolobov, V.G., 516 Kudva, P., 290 Lancaster, P., 271 Lepschy, A., 295,551 Komaroff, N., 516 Kob, E.S., 106, 108, 520, Landers, P .H., 486 Lessman, F., 72 Komkov, V., 16, 113, 525,537,538,543 Lankford, J.G., 258 Leuder, E., 527, 547
485, 486, 514 Kuhn, J., 518 Lanning, D.D., 507 Leugering, G., 285 Kondo, R., 492 Kukareko, E.P., 285 Lapidus, L., 483 Leung, G.M.H., 492
Larin, V.B., 289, 295
590 Author Index
Leung, K.H., 540, 555 Littlewood, J.E., 67 Ma, C.C.H., 285, 289 Massey, W.S., 67
Levadi, V.S., 358, 488 Liu, B., 487, 530, 553 Mablekos, V.E., 258 Mastascusa, EJ., 110
Levan, N., 258 Liu, C.K., 110 MacFarlane, A.G.J., Masuda, T., 517
Levine, W.S., 70, 71, 480Liu, J., 296 478,520,537 Masutomi, F., 537, 539
Levinson, N., 67, 256 Liu, K., 285 Mackay, R., 528, 547 Mata, F.A, 288
Levy, B.C., 505 Liu, K.z., 495 MacLane, S., 67 Mathew, M.I., 540
Levy, H., 72 Liu, P.C., 543 Madatov, G .L., 111 Matsumura, F., 507
Lewis, C.P., 540 Liu, R., 257, 279 Madiwale, A.N., 495 Matthes, H., 540
Lewis, F.L., 285 Liu, R.W., 490 Maeda, H., 492 Mavor, J., 549
Lewis, J.B., 70 Liu, X.Y., 276 Maffezzoni, C., 485 Maxwell, J.C., 14
Lewis, R.M., 556 Liu, Y., 498 Mahalanabis, A.K., 479 Maybeck, P.S., 108, 130
Lewkowicz, I., 266, 285 Lo, C.H., 283 Mahmoud, M.S., 276 Mayer, R.W., 5, 14
Li, G., 551 Lo, P.H., 551 Makowski, K., 70 Mayne, D.Q., 498,
Li, JoR, 276 Locatelli, A., 16, 109, Malanowski, K., 514, Mayorov, V.A., 285, 511
Li, J.Y., 507 130,481,485,512 516,517 Mazer, W.M., 108
Li, T., 295 Loewen, P.D., 515 Malek, N.G., 486 Mazko, AG., 266, 292
Li, T.H.S., 276 Loh, N.K., 264, 296, 512 Maloberti, F., 546 Mazzoni, G., 552, 553
Li, Y., 271 Longhi, S., 507 Malozemov, V.N., 72 McClarnroch, N.H.,
Lian, W., 266 Longman, R.W., 295 Mal'tsev, V.V., 517 112, 131,282,480,
Liao, T.L., 505 Looze, D.P., 256, 271, Manaktala, V.K., 540 500,502,510 Liao, X.x., 266 279,478, 511, 512 Manes, E., 68 McCormick, G.P., 516 Liapunov, AM., 258 Loparo, K., 109 Manetti, S., 551 McDaniel, W.L., 290 Liberatore, A, 551, Lopez-Toledo, A.A., Manivannan, K., 550 McFarlane, D., 496, 497
552,553 358,488 Manley, J.M., 537 McMorran, P.D., 110 Liberty, S.R., 69, 259 Lorentz, G.G., 73 Mansour, M., 265, McQuade, T.E., 497 Liberzon, M.R., 285 Louvish, D., 72 266,268,271,272, McRuer, D.T., 291 Lim, J.W., 113,295 Lowinger, J.F., 482 273,275,276,493 McTavish, D.J., 295 Lim, K.B., 292 Lu, H.C., 278 Mantey, P .E., 292, Mechetnyy, V.S., Lim, K.Y., 488 Lu, N.C., 548 295,529,551 Medanic, J., 480 Lim, T.C., 277 Lu, Y.,495 Marchaud, A, 462,505 Medanic, J.V., 498 Lim, Y.H., 277 Luenberger, D.G., 69, Marden, M., 272 Medani-Esfahani, S.M, Limebeer, D.JN., 265, 70,85 Mareels, I.M.Y., 255 284,285
279, 280, 289, 385, Luh, J.Y.S., 482 Marino, P J., 478 Meditch, J.S., 69,457, 417,491,494,495 Lukes, D.L., 71 Marino, R., 259 501
Lin, C.E., 493, 497 Lukes, T., 255 Markus, L., 70, 71 Mee, D.H., 112 Lin, C.L., 266 Lukich, M.S., 295 Marleau, R.S., 16,481 Mehdi, Z., 487 Lin, D.W., 490 Lunze, J., 16,280 Maroulas, J., 272 Mehra, R.K., 82, 109, Lin, H., 269,271 Luo, Z.H., 265 Marro, G., 500, 504 119, 121, 122, 130, Lin, P.M., 535, 554, 555 Lur'e, A.I., 259 Marshal, C., 71 358,488,489 Lin, S.H., 271 Luse, D.W., 492 Marshall, J.E., 112,486 Mei, C., 113 Lin, T.P., 288 Luther, WJ., 289 Martin, D.H., 510 Meilakhs, A.M., 266, 285 Lin, W.G., 293 Lutz, P., 547 Martin, F., 545 Meisel, W.S., 486 Lin, Y.H., 268 Lutz, W.J., 543 Martin, J.M., 266, 517 Meissinger, H.F., 108 Lin, Y.P., 288, 289 Luus, R., 131 Martinelli, G., 539, Melikyan, AA, 295 Lindorff, D.P., 512 Luzin, NN., 435, 436, 543,550,551 Mel'nile, V.S., 517 Linnemann, A, 505 442,501 Maslarov, I.A., 539 Mel'nikov, B.G., 502 Linssen, HN., 542 Ly, U.L., 497 Maslov, E.P., 480 Melsa, J.L., 487 Linton, F.EJ., 67 L'yanova, N.l., 283 Mason, S.J., 111 Melvin, W.W., 131 Lipatov, AV., 258, 285 Lychak, M.M., 259 Massera, J.L., 259 Melzer, S.M., 512 Lisitsyn, A.M., 510 Lyubushin, A.A., 70 Massey, J.L., 70 Mendel, J .M., 69
Author Index 591
Menzies, R.W., 539 Modiano, E., 488, 508 Myszkorowski, P., 506 Nwokah, 0.0.1., 280 Mercier, 0., 282 Moe, ML., 481 Nyquist, H., 14 Meressi, T., 295 Mohammad, Q.G., 274 Merriam, C.W., lIl, 141, Mohan, P.V.A., 547 Naccache, P.H., 517
266 Molchanov, A.P., 286 Nagaraj, K., 548
Mertzios, B.G., 259 Momot, M.E., 287 Nagpal, K.M., 271, Ober, RJ., 492
Mesarovic, M.D., 108, Monaco, V.A., 539 494,495 Ocali, 0., 276
114,115,477 Montemayer, JJ., 260 Nagurney, A., 515 Ogata, K., 259
Messac, A., Moody, D.E., 555 Nahi, N.E., 358, 489 Ogino, K., 489, 512
Messerli, EJ., 72 Moore, B.C., 292 Nahvi, M., 263 Ohba, F., 295
Meyer, K.R., 256, 257 Moore, C., 547 Nail, J.B., 290 Ohm, D., 295
Meyer, L.H., 295, 510 Moore, J.B., 69, 280, Nakazawa, K., 541 Ohmori, H., 492
Mian, G.A., 295, 551 495, 508, 513 Napjus, G., 358, 489 Ohta, Y., 492,
Michael, GJ., 141,266 Moore, J.C., 259 Nardizzi, L.(R.), 511, Ohuchi, S., 495
Michaletzky, G., 497 Moore, R.E., 271 514 Okada, K., 482
Michel, A.N., 70, 259, Morari, M., , 16, 280, Narendra, K.S., 241, Okada, T., 296
285,502 499 258,259 Olbrot, A.W., 275,
Middelton, R.H., 488 Morgan, B.S, Jr., 136, Naurajan, S., 548 283,286,513
Midy, M., 480 139, 290, 292 Nayfeh, A.H., 73 Olson, D.E., 486
Miele, A., 131 Mori, T., 265, 266, 271, Nehari, Z., 490 O'Neill, L.A., 539
Mijat, N., 547 272,274,276,286 Neill, T.B.M., 536, 555 Opoitsev, V.I., 286
Mikhailov, L.N., 500 Morozov, M.V., 259 Neirynck, J., 524, 525, Orbach, A., 479, 514
Miklaszewski, R., 16 Morse, A.S., 68, 69, 256 542,543 Orchard, HJ., 540, 542
Mikulcik, E.C., 113 Morshedi, A.M., 281 Nesbit, R.A., 259 O'Reilly, J., 296, 482
Milanese, M., 268, 296 Morsztyn, K., 484 Nesline, F.W., Jr., 2% Orlandi, G., 550, 551
Miller, K.S., 5, 15, 74, Moschytz, G.S., 527, Nestell, M., 67 Orlov, V.A., 502
108, 510, 522, 541 545, 546, 547, 548 Neumaier, A., 517 Orlov, V.N., 259
Miller, R.K., 259,285 Mossaheb, S., 259 Neuman, C.P., 81, 109, Ortega, R., 284
Mills-Curran, W.C., 291 Moustakas,E., 54~ 113, 511, 513 Osumi, N., 526, 544
Min, B.J., 286 Movchan, L.T., 276 Neumann, T., 536, 555 Owens, D.H., 16, 266,
Mingori, D.L., 295 Mozgalevskii, A.V., 109 Neustadt, L.W., 70 280,286,287
Minin, V.V., 483 Mrabti, M., 517 Nevanlinna, R., 490 Owens, T.J., 292, 296
Minnichelli, RJ., 268, Muench, R., 293 Newcomb, R.W., 510, O'Young, S.D., 289,
272 Mukhamadiev, E., 255 524, 538, 543, 548 290,492
Minorsky, N., 14, 259 Mukhopadhyay, V., 280 Newell, R.B., 482 Ozaki, H., 543
Miroshnik, LV., 259 Muller, P.C., 260 Newmann, M.M., 323, Ozbay, H., 492, 497, 507
Mishchenko, E.F., 70 Mulligan, J.H., Jr., 546 481,482 Ozguner, U., 279
Mishulina,O.A., 110 Munkres, J.R., 67 Ng, S.M., 529, 550
Misic, V.B., 547 Munro, N., 270 Ngo, N.T., 6, 16 Packard, A., 498 Missaghie, M.M, 482 Murdoch, J.B., 538 Nichols, M.A., 113
Mita, T., 290,495, 502 Murotsu, Y., 295 Nichols, N.K., 290 Paden, B., 295
Mitchell, J.R., 290 Murray, FJ., 5, 15, 74, Nichols, S.T., 508 Padilla, C.S., 486
Mitra, A.K., 528,547 108, 510, 522, 541 Nicholson, H., 292 Padilla, R.A., 486
Mitra, S., 548 Murray, J., 490 Nieuwenhuis, J.W., 259 Padmanabhan, P., 272
Mitra, S.K., 528, 538, Murray, U., 113 Nightingale, C., 110 Paduano, J.(D.), 294, 296
547,548,549, 551, 552 Murray-Smith, DJ., 109 Nishimura, S., 551 Pagurek, B., 310, 479
Mitter, S.K., 69, 491, 492 Murti, V.G.K., 551 Niu, X., 276, 277 Paguta, M.T., 295
Miura, M., 547 Mustafa, D., 494, 495 Noland, J .H., 487 Pakerabo, M.M., 551
Miyagi, H., 259, 286 Mutter, V.M., 286 Noldus, E., 507 Pakshin, P.V., 286
Mizushima, N., 485 Myachin, S.l., 485, 509 Nordstrom, K., 486 Pal, M.K., 484
Norton, F.E., 509 Pal, R.N., 551
592 Author Index
Paley, R.E.A.C., 58, 67 Perkins, W.R, 25, 69, Poliscuk, W.W., 530, 553 Rabaey, J., 554 Palmor, Z., 283 79, 80, 81, 109, 112, Polivanov, V.I., 275 Rabiner, L.R., 538 Palomera-Garcia, R., 549 114,115,130,303, Polukhin, A.V., 260 Rabrenovic, D., 539 Pan, J., 509 304,455,456,457, Polya, G., 67 Rachid, A., 275,276 Pan, T.S., 113,511 477,478,500, 509, Polyak, B.T., 272, 273, Radanovic, L., 16,510 Pandey, P., 498 510, 511, 513 277 Rader, C.M., 538 Pandolfi, L., 259, 286, Perlis, HJ., 478, 514 Pomet, J.B., 286 Radzyner, R., 111
513 Perry, T.P., 492 Ponomarev, V.M., 485 Ragazzini, J.R., 14 Panier, E.R, 272 Perry, W.L., 68 Pontryagin, L.(S.), 5, Raines, F.Q., 295, 510 Pantaliyenko, L.A., 283 Persek, S.C., 2260 13, 14,70 Ramachandran, V., 547, Papazov, S.P., 539 Peskin, E., 539, 540 PoolIa, K.(R.), 285, 494 549 Papoulis, A., 290, 520, Petersen, LR, 266, Pope, R.E., 16 Raman, S., 493
539 267,286,289,291, Popov, V.M., 260, Ramar, K., 290, 296 Paraskevopoulos, PN., 494,495,506 Porter, B., 69,139,291, Ramesh, B.K., 552
108, 110, 139,292, Peterson, D.W., 517 292,294,502 Ran, A.C.M., 496 293,486,487, 507, Petkovski, D.(B.), 267, Porter, W.A., 16, 309, Rantzer, A., 272 513,514 284 477,478,479,508, Rao, K., 528, 548
Park, K.C., 517 Petraglia, A., 548 509,510,511,514 Rao, K.R., 549 Park, P.G., 516 Petrela, D.A., 548 Postlethwaite, 1., 279, Rao, M.R.M., 287 Parker, S.R., 521, 522, PetreIa, D.M., 545 280, 289, 290, 491, Rao, N.D., 294
535, 536, 540, 541, Petrov, A.I., 483 492, 493, 495, 498, Rao, S.G., 483 553,556 Petrov, BN., 131,269, 499,505 Rao, S.S., 113, 511
Parks, P.C., 255, 258 436,443, 502 Pradeep, S., 260, Rapoport, L.B., 287 Parlos, A.G., 507 Petrovic, R., 110,485 Praly, L., 255, 286 Rasmussen, M.L., 73 Partington, J.R, 492 Petrovsky, A.M., 480 Prasad, K.S., 551 Rasmy, E., 109 Pascoal, A.M., 284, Pezet, P., 482 Prasad, U.R., 538 Rasmy, M.E.M., 110
288, 493 Phan, C.P., 539 Prasad, V.C., 556 Ravi, R., 284, 493, 495 Patel, R.V., 266 Phan, C.S., 546 Pratapachandran (Nair), Raya, A., 286 Patranabis, D., 548 Phillis, Y.A., 516 P., 295, 482 Rebarber, R., 260 Paul, RJ., 485 Phoojaruenchanachai, S., Preminger, J., 502 Reddy, D.C., 292, 296, Pavlidis, T., 275 506 Premoli, A., 527, 548 486 Pavlov, V.V., 285, Phrydas, C., 555 Price, CJ., 551 Reddy, M.A., 528, 548
511, 518 Pichkurenko, V.P., 502 Pritchard, A.J., 264, 265 Redheffer, R.(M.), 54, 490 Payne, HJ., 486 Piechottka, U., 275 Propoy, A.I., 516 Reed, M., 67 Pearson, A.E., 70, 258 Piedade, M., 542 Prudovskiy, B.D., 517 Regalia, P.A., 548 Pearson, C.E., 67 Piekarski, M.S., 550 Pujara, L.R, 272, 296 Reid, J.G., 91, 93, 108, Pearson, J.B. (Jr.,), 71, Pierre, C., 290 Pyatnitskii, E.S., 286 117, 130
289,475,490, 507, 512 Pierre, D.A., 544 Pyatnitskiy, Y.S., 265, Reid, R.E., 487 Pedersen, K.(C.), 511, Pinel, J.F., 555 503, Reid, W.T., 260,490
514 Pipes, L.A., 108 Pyatnytsky, E.S., 241, Rekasius, Z.V., 276, 311, Pelegrin, MJ., 70 PIatzman, L., 315, 317, 260,286 485 Pelova, G.B., 516 480 Rektorys, K., 67 Penchuk, AN., 280 Pliss, V.A., 258 Remec, M.J., 290, 539 Penfield, P., Jr., 530, 553 PohjoIainen, S., 514 Qian, J.L., 266 Renner, K., 529, 551 Peng, T.K.C., 259, 263, Pokrovskii, A.V., 258, Qian, RX., 267 Reszka, G.S., 553
502 285 Qi-Bin, W., 271 Reyer, S.E., 293 Peres, P.L.D., 504 Pokrud, B., 494 Qing-Long, H., 271 Reyhanoglu, M., 282 Perev, K., 276 Polak, E., 108,281,289, Qiu, L., 272,292,492 Reza, F., 136, 142,260, Perez, A., 507 486,498 Qiuting, H., 548 263,267, 272, 290,498 Perkins, J.E., 551 Polis, M.P., 275, 283 Qu, Z., 506
Author Index 593
Rezai-Fakhr, M.G., 530, Rozhansldi, V L., 480 Salerno, M., 543, 550 Schonbach, Dl., 513 540,552,553 Rozonoer, Ll., 8, 72, Salikov, L.M., 260 Schrijver, A., 515
Reztsov, V.P., 260 450,452,453,455, Salmon, D.M., 314, 480 Schultz, D.G., 260 Rhee, I., 508 456,502 Salzwedel, H., 295 Schwartz, J.T., 67 Richards, GA, 555 Ruban, A.!., 512, 514 Sambandan, A., 291 Schwarz, A.F., 540, 555 Ridgely, D.B., 268, 281 Rudin, W., 67 Samoilenko, Y.I., 296 Schwendler, L., 15 Ridler, P.F., 556 Rupnik, V., 517 Samoylenko, Y.I., 111 Schweppe, F.C., 71, 358, Riedle, B.D., 255 Russell, DL., 71, 165, Sanchez Pena, R.(S.), 489, 507, 508 Riesz. F., 67 179,260,264,267 272,280 Seacat, R.H., 287 Rillings, J.H., 483 Rutkovski, V.Y., 502 Sanchez-Sinencio, E., Seborg, D.E., 296 Rinaldi, S., 16, 109, 130, Rutman, R.S., 5, 16, 108, 548 Sedlmeyer, A., 529, 551
512 111,360,455,502, Sandberg, I.W., 260, Sedra, A.S., 528, 528, Rishel, R.W., 70 Ryabov, B.A., 436, 502 520, 537 544, 545, 546, 547, Rissanen, J., 486 Ryabov, B.O., 139,272, Sandell, N.R., Jr., 71, 549 Rissanen, JJ., 480 290 505 Sefton, J.(A.),492, 493 Rivera, D.E., 499 Ryan, E.P., 296, 505, 513Sandridge, C.A., 293 Seibert, P., 260 Robel, G., 498 Rybashov, M.V., 487 Sankaran, J., 274 Seletzky, A.C., 15 Robinson, FN.H., 539 Sannuti, P., 477, 479, Sengupta, J.K., 517 Roe, P.H., 555 483,486,497 Sesak., J.R., 6, 15, Roesler, M.D., 287 Sabaev, E.F., 287, Sano, A., 492 16,91 Rohn, J., 293 Sabaeva, T.A., 261, 287 Sansen, W., 548 Seth, A.K., 535, 553, 555 Rohrer, R.A., 106, Saberi, A., 477, 497 Santo, A.O.E., 264 Sevely, Y., 111
314,480,484, 520, Sablatash, M., 542 Sarabudla, N.R., 285 Seviora, R., 542 530,531,534,537, Sabouni, R, 520, 537 Sarachik, P.E., 483,510 Seviora, R.E., 554 538, 553, 555 Sachkov, G.P., 139, 272, Saramaki, T., 551 Sewell, ll., 555
Rojo, B.L., 530, 553 290,502 Sarason, D., 490 Sezer, M.(E.), 265, 267, Romagnoli, J., 272,294 Sacker, RJ., 256 Sarma, I.G., 538 276,483 Romanowicz, T.M., Sadykov, F.R., 285 Sarma, V.V.S., 130,483 Shabalin, A.V., 267
110,111 Saeki, M., 280, 281,493 Sarpeshkar, R, 548 Shac, P.H., 502 Romeo, F., 130 513 Sasagawa, T., 287 Shafai, B., 276 Ronge, P., 486 Saeks, R., 71, 260, 262, Satsangi, P.S., 541 Shah, SL., 296 Rootenberg, J., 310, 478, 490 Savkin, A.V., 287 Shahian, B., 516
486, 502, 510 Safonov, M.G., 260, 278, Sawan, M.E., 481, 512 Shaimardanov, F.A., 484 Rosen, 0., 131 280,281,385,417, Sawaragi, Y., 131,489, Shak, F.H., 502 Rosenblum, A.L., 529, 491,493,495, 497 512 Shaked, U., 276,493,
530, 548, 553 Sagalov, Y.E., 480 Saydy, L., 272, 293 496, 498 Rosenbrock, H.H., 69, Sagan, H., 71, 267 Sbaiti, AA, 487 Shamash, Y., 497
293 Sage, A.P., 6, 16, 71, Scattolini, R., 130 Shamis, S.S., 546 Roska, T., 542 484,485,487,510, Schaechter, D.B., 487 Shamma, J.S., 507, 508 Rota, G.C., 256 511 Schaumann, R., 528, Shamsa, K., 287 Rotea, M.A., 494, 495, Saba, S.K., 527, 548 547,548,549 Shanbhag, N., 272
506 Saif, M., 483 Scherer, C., 495 Shane, B.A., 134,219, Rotstein, H., 272, 294 Saigal, S., 113 Schiavoni, N., 485 267,272,277 Roubellat, F., 111 Sain, M.K., 68,114, Schmidt, EJ.P. G., 130 Shankar, S., 282 Rousselet, B., 112, 113 115, 130 Schmidt, G., 525, 543 Shao, C.S., 265 Rowe, H.E., 537 Sakharov, M.P., 480, 487 Schmitendorf, W.E., 265, Shao, C.x., 269 Roxin, E., 260, 462, 506 Salam, F.M.A., 287 267,272,504,505,506 Shapiro, A., 517 Roy, RJ., 483 Salcudean, S.E., 498 Schnabel, J.A., 488,508 Shapiro, E.Y., 260 Roy, S.B., 548 Saleh, S., 262 Schneider, H., 268, 291 Shapiro, N.z., 515 Roytman, L.M., 291 Salehi, S.V., 486 Schoeffler, J.D., 524, 543 Sharov, SN., 509 Rozenvasser, EN., 16,
111,513
594 Author Index
Shaw, G.L., 113 Singh, G., 131 Solymosi,I., 111,540 Styblinski, M.A., 530, Shaw, 1.,272 Singh, H., 525, 542, 543 Sondergold, K.P., 261 553 Shaw, L., 291 Singh, M.G., 485 Sontag, E.D., 261, 268 Su, TJ., 277 Shchennikov, V N., 267 Singh, N.P., 549 Sood, A.K., 81, 109 Suarez, R., 260 Shchipanov, G.V., 434, Singh, S.N., 130,506 Sorenson, E.V., 522, 540 Subbayyan, R., 483
435,436,442, 444, Singh, V., 73 Soudack, A.C., 483, 513 Sugie, 1., 288 446,447,500,502 Singhal, K., 535, 540, Soveshch, T., 500 Sugie, T., 492, 493
Shen, C.N., 131 544,548,553 Spanier, E.H., 68 Sugimoto, K., 483, 498 Shen, I.e., 506 Sinha, N.K., 311, Spas'kyy, R.O., 503 Sui, T.K., 482 Shevelev, A.G., 260 479,480 Spaulding, D.A., 551 Sule, V.R., 478 Shevelyev, A.H., 513 Siouris, G.M., 71, 255 Spector, V.A., 113 Sun, Y.Y., 277 Shevlyakov, GL., 271 Sirovich, L., 68 Spence, R., 538, 540, Sundararajan, N., 477, Shi, G., 495 Sivan, R., 70, 266, 285, 552,555 478,510,511 Shi, Y.Q., 269, 272, 557 Speyer,I.L., 131,508, Sundareshan, M.K., 268
273, 275 Sivashankar, N., 508 Spingarn, K., 72, 358, Sung, H.K., 277, 512 Shi, Z., 282, Sivasundaram, S., 287 488 Suryanarayanan, K.L., 513 Shi, Z.C., 267, 269 Skelton, R.E., 277, 290, Sridhar, B., 266 Sussmann, H.I., 281 Shieu, S.D., 527, 549 296,482, 508, 518 Sridhar, R., 109 Suzuki, T., 109 Shih, Y.P., 112,512,513 Sklavounos, P.G., 108 Srinivasan, G., 289 Svoboda, I.A., 549 Shimemura, E., 279 Skorodinskii, V.I., Srinivasan, S., 548 Swamy, MN.S., 291, 524, Shimizu, H., 518 286, 287 Stakgold, I., 68 535, 536, 542, 543, 547 Shimshoni, M., 258 Slivinsky, C., 286 Staley, R., 358,488 Swierniak, A., 487 Shiraishi, S., 517 Smirnov, G.V., 287 Stalford, H.L., 504, 506 Swift, G.W., 539 Shirakawa, I., 524, 543 Smith, M.C., 491,493 Stapleford, R.L., 291 Szczupak, 1., 548 Shirokov, L.A., 108,487 Smith, R.A., 261 Starikov, A.F., 503 Szego, G., 72 Shoureshi, R., 287, 485 Smith, W.E., 523, 526, Starozhilov, Y.F., 255 Szego, G.P., 256 Shrivastava, S.K., 260 541 Stavroulakis, P., 15, Sz.-Nagy, B., 67, 490 Shtessel, Y.B., 503 Sneddon, LN., 68 483, 510, 513 Sznaier, M., 277 Shupp, F.R., 510 Sobieszczanski-Sobieski, Stefani, R.T., 487 Siapkara, A.A., 510 1., 113, 515 Stein, G., 490, 505 Sibul, L.H., 510 Sobral, M., Ir., 5,16, Steinberg, A., 505 Tabak, D., 68 Sidar, M., 480 314,480,538,540 Steinberg, A.M., 517 Tacker, E.C., 486 Sideris, A., 272, 280 Soderstrand, M.A., 527, Steinbuch, M., 497 Tadmor, G., 492, 493, 495 Sidi, M., 279 528, 549 Stence, R., 553 Tait, K.E., 513 Sienko, W., 528, 544 Soh, C.B., 265, 267, Stepanenko, Y., 489 Takahara, Y., 108, 110 Siljak, D.D., 16, 110, 269, 272, 273, 275, Stephenson, F.W., 549 Takahashi, T., 113
111,256,260,265, 276,277,280 Stem, RJ., 130,261 Takata, M., 512 267,276,289,290, Soh, Y.C., 262, 264, Stojic, M.R., 111,291, Tan, E.C., 551, 555 296,483, 484, 485, 268, 270, 273, 291 551 Tan, O.T., 486 487,538 Sohal, I.S., 525, 542, 543 Stojic, R.M., 291, 551 Tan, X.L., 289
Silva, M.M., 542 Sokolov, V.I., 287 Stoorvogel, A.A., 495, Taniguchi, T., 277, 287 Silva-Madriz, R.I., 286 Sokolowski, 1., 113, 508 Tanino, T., 517 Silva-Martinez, 1.,548 514,517 Storey, C., 112, 130, 142, Tannenbaum, A., 490, 491, Simeonov, P.S., 261 Soldatos, A.G., 486 256,262,282,500 492,497,509,512,514 Simes,I.G., 110 Soliman, H.M.,296 Strashko, V.T., 503 Tardos, E., 515 Simon, B., 67 Solnechnyi, E.M., 273, Strickland, S.G., 509 Tarmi, R., 549 Sims, C.S., 487 287, 296, 503 Strintzis, M.G., 487 Tarn, T.I., 261, 262, Sims, F.L., 509 Solnechnyy, E.M., 261, Strycula, E.C., 543, 544 295,510 Singer, R.A., 296, 529, 503 Stubberud, A.R., 481 Tartaglia, M, 257, 264,
551 Soloveichik, G.Y., 285 StuffIe, R.E., 555 283 Taussky, 0., 268, 291
Author Index 595
Tavsanoglu, V., 551 Tran, M.T., 481 Ulsoy, A.G., 294 Verde, C., 478 Tay, T.T., 495 Trapeznikov, V.A., 499 Unami, I., 546 Veremei, E.L, 296 Taylor, J., 549 Trick, T.N., 538, 556 Ur, H., 291, 539 Verghese, G.C., 263, 275 Taylor, J.H., 241, 259 Trigiante, D., 276 Urgon, G.I., 522, Verghese, G.V., 265 Tekawy, J.A., 281 Tripathi, A.N., 110 524, 543 Verma, M.(S.), 281, 497 Tellegen, B.D.H., 554 Trirogoff, K.N., 70 Ushakov, A.V., 503 Vetter, WJ., 479 Ternes, G.C., 530, 538, Trofino Neto, A., 506 Usher, P.D., 73 Viaro, U., 295, 551
540,542,546,551, Tromp, H., 540 Usoro, P.B., 508 Vicino, A., 257, 264,268, 552,553 Tron, T., 111 Utkin, V.A., 503 273,283,287,296
Temma, T., 543 Trony, T., 540 Utkin, V.I., 503 Vidyasagar, M., 68, 71, Tempo, R, 269 Troop, W.J., 539 257,259,260,261, Teo, K.L., 498 Troost, B.T., 109 281,285,287,475, Tereschchenko, A.F., 539 Troutt, M.D., 518 Vaidyanathan, P .P., 490, 507, 508 Tesi, A., 268, 273, 287, Truxal, J.G., 5, 15,279, 547,552 Vielsack, P., 113
296 538 Vaithilingam, M.C., 483 Vilenius, M.J., 487 Teverovskii, V.I., 513 Tsai, J.S.H., 291 Valavani, L.S., 507 Villalaz, P.A., 540, 552 Thau, F.E., 479 Tsai, K.C.Q., 508, 518 Val1ese, L.M., 535, 555 Vinter, RB., 518 Theodorou, N., 275 Tsai, M.C., 493, 495, 498 Valsamis, D., 287 Viswanathan, T.R, 548 Therapos, C.P., 498 Tsai, T.P., 487 Valtonen, M.E., 539, 554 Visweswaran, G.S., 546 Therrien, C.W., 535, 555 Tsay, S.C., 506 Valtonen, P., 539 Vitt, A.A.(A.V.), 13 Thiele, L., 523, 541, 551 Tsay, T.!., 499 Van der Ha, J.e., 131 Vittal, V., 502 Thorbjomsen, A.R., 553 Tsen, F.S.P., 257 van der Pol, B, 14, 68 Vlach, J., 526, 540, 544, Thorp, J.S., 131,283, 506Tsinias, J., 258, 261, 287 (or Van Der Pol, B.) 545,548,549 Thowsen, A., 273 Tsonis, e.A., 292 van der Schaft, AJ., 496 Vlietstra, J., 555 Thulasirarnan, K., 542, Tsypkin, Y:Z., 69, 272, van der Woude, J.W., Volgin, L.N., 72
543 273,277,360,512 508 Volle, M., 515 Tiberio, P., 539 Tugcu, A.K., 487 Vandewalle, J., 554 Volosov, V.V., 293 Tikhonov, A.N., 5, 15 Tun, T., 484 Van Loan, C., 518 Von Dinkelbach, W., 16, Timko, KJ., 552 Tung, S.L., 265, 275 Vannelli, A., 261, 287 518 Tismenetsky, M., 271 Tunik, A.A., III Van Schieveen, H.M., Voronin, A.M., 435,500, Tissir, E., 262 Turgeon, A.B., 291 483 503 Titovskiy, LN., 295 Turing, A.M., 10 Van Trees, H.L., 71 Voronin, AN., 518 Tits, A.L., 265, 272, Turner, J.D., 110 Van Valkenburg, M.E., Voronov, A.A., 261, 288
293,494 Turner, L.E., 552 520,530,537, 538, 553 Vorotnikov, V.I., 277 Tkachenko, V.A., 273 Turski, K.K., 110 van Woerkom, L.M., 268 Voulgaris, P.G., 507 Tobin, R.L., 518 Tuteur, F.B., 480 Vaplyusbkin, V.M., 261, Vratsanos, J., 541 Toda, M., 266 Tyler, J.S, Jr., 480 287 Vukcevic, M.B., 260, 261 Toivonen, H.T., 495 Tzafestas, S.G., 275, Varah, J., 518 Vukobratovic, M., 5, 16, Tokarzewski, J., 277 292,293,487, 509, Varshney, R.K., 513 503,510 Tomei, P., 259 510, 513, 514 Vartanyan, V.M., 269 Tomizuka, M., 280 Tzannes, T.S., 481 Vasil'ev, V.I., 484 Tomlinson, G.H., 549 Tzierakis, K.G., 507 Vattuone, E.S., 291 Wagie, D.A., 291, 296 Tomovic, R., 5, 16, 512, Vdovin, S.L, 261, 287 Wait, J.V., 538
513,522,538 Veillette, RJ., 498 Wakeland, W.R, 72 Tourassis, V.D., 511 UChida, K., 495,507 Velichenko, V.V., 503 Walker, D.J., 289, 496 Tow, J., 542 Udartsev, Y.P., Vengerov, A.A., 480 Wallis, D.E., Jr., 358, Towill, D.R., 255, 293, Ueno, F., 546 Venkata, S.S., 487 489
487 Ueno, S., 110 Venkatesh, Y.V., 259, Walsh, J.L., 73 Townley, S., 289 Ulanov, B.V., 296, 503 261 Wang, B.C., 507 Toy, M., 552 Ulanov, G.M., 480 Venkateswaran, S., 549 Wang, L.Y., 493
Ulanov, M., 500 Venkayya, V.B., 113,511
596 Author Index
Wang, M., 552 Womack, B.F., 260 Yaz, E., 276, 277 Zemanian, A.H., 68 Wang, P.K.C., 455, 456, Wong, P.K., 268 Yeh, F.B., 493, 497, 499 Zemlyalrov, S.D., 500
503 Wonham, W.M., 69, 70, Yeh, H.H., 268, 269, Zeng, X., 261 Wang, S.D., 268, 271 71, 264 281,496 Zhan, W., 262 Wang, S.S., 273, 278, Wood, J., 68 Yen, K.K., 269, 272 Zhang, D.N., 281
283,288,293 Wonnley, D.N., 508 Yemel'yanov, S.V., 503 Zhang, H., 275 Wang, T., 131 Wu, C.C., 113 Yennachenko, A.I., 487 Zhang, QJ., 554 Wang, T.S., 279, 487 Wu, F.F., 283 Yeung, K.S., 273 Zhao, K.Y., 275 Wang, Y.T., 265, 278, Wu, J., 507 Yeung, L.F., 281 Zheng, D.z., 268
290 Wu, M.Y., 481 Yokomoto, C.F., 543, Zhong, X.C., 289 Warwick, K., 275 Wu, N.E., 493 555 Zhou, C.S., 268, 277 Watanabe, K., 489, 518 WU, Q.H., 493 Yoneda, S., 547 Zhou, S.F., 269, 272 Wauer, J.C., 487 Wu, S.M., 515 Yoneyama, T., 288 Zhou, K., 268, 281, 288, Wei, K., 268, 273, 281 Wullink, G., 545 Youla, D.C., 69, 479, 490 494,496 Wei, L.F., 499 Wuu, TL., 108,289,498 Young, G.E., 510 Zhu, G., 277, 508 Weiland, S., 508 Wyatt, JL, Jr., 536, 548, Young, J.S., 493,497 Zhukov, V.P., 262, 288 Weinberg, M.C., 555 556 Young, K.K.D., 487, 510 Zilovic, MS., 291 Weinrich, S.D., 483 Wyetzner, G., 280 Yu, T.C., 295 Zimmennann, H.J., 111 Weir, AJ., 68 Wyman, B.F., 71,49 Yu, T.H., 551 Zinober, A.S.!., 485, 488 Weiss, L., 68, 257 Yu, Y., 288 Zohdy, M.A., 264, 296, Wen, J.T., 262 Yuan, J., 489 480, 512 Werner, R.A., 310, 480 Xia, L., 498 Yudayev, A.V., 510 Zolesio, J.P., 112, 113, Weyten, L., 528, 540, Xie, L., 494, 496 Yue, A., 499 514
542,545,549 Xin, L.X., 268 Yurachkovskiy, Y.P., 500Zou, Y., 495 Wheatstone, C., 4, 15 Xu, D., 277 Yusupov, I.Y., 269 Zowe, J., 518 White, C.C., ill, 71 Xu, D.Y., 288 Yusupov, R.M., 16,485, Zubov, A.G., 483 Whittle, P., 518 Xu, J.H., 277, 518 513 Zurcher, L.A., 15 Wie, B., 281 Xu, SJ., 269 Wielings, R.F., 555 Xue, Y.X., 113
Zadeh, L.A., 14, 69 Zafiriou, E., 16, 499 Zaitsev, V.V., 288
Wiener, N., 58, 67 Wierzbicki, A., 16 Wiest, E.J., 498 Wilkie, D.F., 79, 80, 81,109,483
Willbanks, C.E., 110 Willems, J.C., 69, 70,
71,257,262,288, 490,508
Willems, J.L., 262, 288 Williamson, D., 281 Willson, A.N, Jr., 550 Wilson, DJ., 506 Wilson, G., 528, 549 Winsor, C.A., 483 Witsenhausen, H.S.,
310,479 Wojcik, R.J., 549 Wolenski, P.R., 512 Wolovich, W., 69 Wolsey, L.A., 518
Yadykin, I.B., 111 Yaesh, I., 493, 496, 498 Zak, S.H., 69, 284, 285 Yakovlev, O.S., 285, 511 Zakharin, F.M., 16,485 Yakubovich, V.A., 288 Zakharyan, A.Z., 509 Yaling, C., 489 Zakian, V., 273 Yamamoto, Y., 483, 498 Zames, G., 262, 301, 379, Yamamura, S., 485 491,493,512,514 Yamashita, K., 259, 286 Zampieri, G., 256 Yan, G.T., 552 Zappa, G., 287 Yan, W., 289 Zarchan, P., 296 Yan, W.Y., 281, 513 Zaremba, S.C., 462, 506 Yang, C., 495 Zarrop, MB., 489 Yang, C.D., 497,499 Zaslavskii, B.G., 262 Yang, J., 510 Zavgren, J.R., Jr., 261 Yang, S.C., 113,483 Zdor, V.V., 296 Yang, S.M., 552 Zeheb, E., 258,269,273, Yaniv, 0., 281 274,291 Yanowitch, M., 67 Zeidan, V., 71 Yanushevskiy, R.T., 288 Zein El-Din, H.M., 293 Yarlagadda, R., 529, 551 Zelentsovskii, AL., 282
SUBJECT INDEX
~cnuuo~ 364, 385 Adjoint network, 521, 531 Auxiliary
input, 359, 364, 366, 371, 376, 377
parameter, 20 transfer matrix, 401
Bounded disturbance, 435 uncertainty, 459 variations, 38
Calculus of variations, 84, 451,454
canonical decomposition, 457 canonical transformation, 81 Cayley-Hamilton theorem, 121 characteristic equation, 121, 136 classical problems, 63, 64, 65 Cohn's theorem, 523 common factor, 136, 137 complementarity, 384 complex domain, 97, 380 Computational Sensitivity, 10 condition number, 47 continuously equivalent network,
524 convergent (discrete) system
Lyapunov, 134, 135,218 matrix,134 nonlinear, 253 polynomial, 224, 225
Controllability canonical transformation,
119 complete, 18 structural, 125 system model, 117
Controller adaptive, 332, 335 admissible, 387
central, 407, 412 112-,423,427,428,429
432 11--, 420, 421, 428,
430,433 injection, 469 model-following adaptive,
472
sensitivity,97 Full - Control
structure, 388 transfer matrix, 388, 400
Full - Information structure, 388 transfer matrix, 388, 398
sensitivity reduction/optimal, 307,308,318,321, Generating system, 17 324, 328, 330, 331, Generalized dynamical systems, 332,334,340,343, 462,463,464 345,347,350,352, asymptotic stability, 465 353,354,355,356, contingent derivative, 464 364, 368, 371, 374, contingent equation, 375, 376, 377 462, 464
Definitions, 17 Detectable, 387 Digital filter, 529 discrete system
(cf., convergent system) disturbance, 298, 301·
bounded, 435 feedforward, 389,402 external, 301 internal, 301 normed-bounded, 461 rejection, 459, 473 special structured, 460 worst-case, 412
Duffing's equation, 242, 249
Eigenvalue, 47 sensitivity, 139, 140
Eigenvector, 47, 140 Embedding Problems, 11 Energy stored network element,
523 Estimator, 415
observer-based, 380, 406 Exogenous signal, 17,298,381
Feedback amplifier, 4 Fidler's result, 522 finite-escape time, 464 Fisher information matrix, 358 Frequency4domain
motion, 463 trajectory, 463
Gramian matrices controllability, 61, 391 observability, 61, 391
Guidance theory, 129
Hadamard's inequality, 47, 210
Hamiltonian matrix, 62, 382, 383 384, 391, 392, 395, 396,409,419,431
Historical Remarks, 4 hyperbox, 2, 147
Identification, 18, 357, 371 Imbedding Problems, 11 Information matrix, 331 Inner matrix, 393 Input
auxiliary, 359,360, 361, 364, 365, 372, 376,377
optimal, 358, 371 supervisory, 359 troublesome, 385
insensitive, 140 Invariance condition
absolute, 441, 442, 443 complete, 443, 450, 451 partial, 443 selective, 442 Shchipanov-Luzin, 442
598
strong, 436, 450, 453, 456,458
weak,450,451,453,458 Invariance Glossary
action,437 combined control system,
443 control, deviation!
perturbation, 443 dry friction, 448 fork,444 free action, 437 Harmonic linearization,
449 interaction matrix, 446 operator
buffer block, 446 control operator, 446 feedback, 446 second-order, 437 symbolic, 448
parameter invariant, 456 perpetual motor, 447 plant coordinate, 436 process parameter, 436 signal invariant, 456 single-channel invariant,
444 two-channel principle,
443,446 [Invariance Glossary Ends] Invariance theory, 434
linear systems, 452, 455,457
multidimensional systems, 445
nonlinear systems, 448, 449 variational approach,
449,450,451
Kharitonov theorem, 167, 203
Ladder RC-network, 105 Large-scale system, 211 Linear fractional transformation,
53,385,401 Loop shifting, 417
142, 149, 175, 176, 177, 178, 179,190,200,205,206,212, 218,226,228,233,250,252, 254, 312, 313, 315, 316, 319, 320, 325, 330, 331, 341, 343, 348,367,396
Maneuverability, 132, 143 man-in-the-Ioop, 360 Matching condition, 461, 473 Mathematical Glossary
Blaschke product, 46 convergent, 32, 33 Cauchy sequence, 32 Determinant, 46 Field, 30 Functions
anticausal, 58, 390 attainability, 463 bounded, 39 causal, 58, 390 continuous, 37 contraction, 39 convexity, 38 differentiable, 38 inner, 46 isometry, 39 Lebesgue, 40 Lipschitz, 39 outer, 46 set-valued, 461, 462, 466
467,469,473 upper semi-continuous,
37,463,467,468 Group, 29 Inequalities, 40
Hadamard, 47, 210 Holder, 41 Jensen, 40 Minkowski,41 matrix, 153
infimum, 32 Mappings, 27, 28
bounded, 39 continuous, 38 contraction, 39 convexity, 38 differentiable, 38
Luenberger's observer, 85 Lyapunov direct method, 134, 135,
domain, 27 image, 27
Subject Index
range, 27 Matrix, 47, 153 Module, 31 Ring, 29 Sernigroup, 28 Set theory, 34 sequences, 32, 33 Series
complete trigonometric, 42
Fourier, 42 Spaces, Definitions
Banach, 33 complete, 33 Hardy, 44 Hausdorff, 36 Hilbert, 33 inner product, 32 linear, 30 measurable, 36 metric, 31 Nevanlinna, 44 normed,31 topological, 36 vector, 30
Spaces,PToperties Banach, 43 W , 44, 45, 46, Hilbert, 34,41,42,43 U,40
supremum, 32 Theorems
contraction mapping, 39
Hahn-Banach, 43 implicit function, 39 mean-value, 39 open-mapping, 43 Parseval, 43, 307 Riesz-Fischer, 42
Topology, 35 [Mathematical Glossary Ends] matrix
condition number, 47 norms, 48 spectral radius, 47
Maximum Principle, 364 Modeling Inaccuracies, 9 Model-reference control, 472 min max, 466, 474, 475
Subject Index
minimax, 431 mismatch, 473
Nehari problem, 65, 380 Network sensitivity, 6, 519, 535
active, 526, 527, 528,529 adjoint, 521, 531, computation, 535 model, 522 nonlinear, 536 statistically, 530
Nevanlinna-Pick interpolation, 379
Nominally equivalent, 19 Nominal value, 21 nonlinear system, 75, 241, 253 Norms
Frobenius, 48 matrix, 48 vector, 47, 48
Norms computation H 2-,6O H_-,61
Observability condition, 18 Observer-based method, 380, 406 Operator
Hankel, 61 Hankel-Teoplitz, 392 Multiplication, 391 Theory, 380 Toeplitz, 391
Output desirable, 385 estimation, 389,403 uncontrollability, 456
Parameter Auxiliary, 20 constraint, 148,249 Coupling, 21 maneuverability, 132, 143 Physical, 20 space, 144 Structural, 20 variations space, 144
Performance index large-sensitivity analysis,
314,315,316,317, 318
network, 526 sensitivity comparison, 310 small-sensitivity analysis,
312,313,314 small-sensitivity synthesis,
318,319,320 Perturbation
directional, 146, 156, 160, 162, 174, 175, 180, 190, 200, 207, 220, 227,233,250
E-Box, 145, 146, 147, 149, 152, 153, 155, 159, 162, 165, 166, 167, 168, 169, 186, 187, 188, 190, 193, 207,210,213,215, 217,223,229
matrices, 151, 152, 355 structure, 155, 162
phase-variable canonical, 78 Physical-parameter sensitivity
function, 90 alternative, 96
599
Reduced-order observer, 85 Regulator, 413
ideal and universal, 439, 440,442
one-degree-of-freedom, 438
two-degree-of-freedom, 439
three-degree-of-freedom, 440
reproducibility, 114 Riccati equation, 366, 382, 383,
384,387,396,399,409 Robotics, 364, 472 robust, 23, 309 Robustification, 361 Robustness, 140
Scaling, 417 Scope, 4 Sensitivity
active network, 526 comparison, 25, 101, 302,
307, 308,310,381 adaptive, 308, 332 matrix, 306, 307
closed-loop reconstructible, 96 direct computation, 91, 117 higher-order, 91
plant parameter, 307 performance index,
310 plant/controller
parameters, 308 minimum number, 119, 121 open-loop reconstructible, 90
Plant-operator, 360, 361, 362, 365, 371
Polynomial discrete, 224, 225 Hurwitz, 164, 165, 167, 169
173,174,203,205,206 large-scale, 171 minimum, 117 monic, 170, 171, 172, 174,
200,224,225,240 set generator, 171,225 stability, 133
positive definite, 465 Potter's method, 383
trajectory, 302, 322 complex domain, 97, 380 Digital filter, 529 invariance, 100, 523 measure, 23, 309, 339,
362, 381 network, 520 root, 135, 136, 137, 138 statistically oriented, 530
Sensitivity functions Bode, 22, 306 eigenvalue, 139, 140 frequency domain, 97 gain, 527 generation, 25 large, 21, 77 matrix, 22
Parameterization, 398, 400, 406 Q sensitivity of network, 528 nonlinear system, 26
600
phase, 527 physical parameter, 90 nonnalized,22 primitive, 21 root, 138, 520, 527, simultaneity, 80, 81 small, 21, 77 structural parameter, 76 total (TSF), 82, 83, 84,
86,87,88, 89,305, 306,307,308
total symmetry, 79 vector, 22 unnonnalized,22 zero, 136, 527
matrix, 133 negative definite,
465 polynomial, 133 positive definite, 465 robustness measure, 144,
145, 146, 147, 148 nonlinear system, 241 system model, 115 unifonn ( ... ), 465
Stabilizable, 387 Stabilization, 64 Structural-parameter sensitivity
Sensitivity minimization/optimization in Hardy spaces, 62, 379
function, 76 closed-loop reconstructible,
87 complete simultaneity,
80,81 large-, 337, 341, 348 mixed, 476 model matching, 65 network, 525, 526 small-, 322, 324, 331 stabilization, 64 tracking, 63
sensor, 385 Separation argument (theorem),
380,429 servomotor, 437 set generator, 162, 167, 171,
219,225 Signals
time-domain, 57 frequency-domain, 58
Similarity transfonnation, 53,57,396,411
Simultaneous diagonalization, 153,154
Spectral radius, 47 subspace, 383
Stability absolute, 241 asymptotic, 134,461,465 complementarity property,
384 conditional, 153, 165 in the large, 465 large-scale system, 211 Lyapunov (strong),
134,465
low-order,79 open-loop reconstructible,
76 structural-parameter, 76 total sensitivity, 82 total symmetry, 79
structural controllability, 125 summary of the book, 7 System
Identification, 18, 357 Nominally-Equivalent, 19 Nonnal,19 Realization, 18 Specification, 18
System classifications (references) distributed parameter, 513 nonlinear, 508 time lag, 511 time-varying 508
System model, 115 algebraic properties, 115 controllability, 117 open-loop, 98 stability, 115
Taylor series, 23, 237 Tellegen's theorem, 530 Tenninal conditions
insensitivity, 125 tolerance, 6, 521 Trace
duferentiation, 313
Subject Index
matrix,47 Trajectory-sensitivity
comparison, 302 Transfer matrix, 49, 386
auxiliary,401 disturbance-feedforward,
389 full-control, 388 full-infonnation, 388 nonns, 60 output-estimation, 389 realization, 49
Transversal condition, 533
Uncertainty, 64, 297, 298, 459,460
asymptotic stability, 461 input, 461 lumped,461 nonned-bounded,461 time-varying, 471
ultimately bounded, 471
Vandennonde matrix, 124 Varatsanos' theorem, 523 Variation
a,~, 'Y, 5 large, 3,23 parameter, 21 nonlinear, 236 small, 3,23
Worst-case, 1,299,337,378, 460
disrurbance, 408, 412 input, 408
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