Recent Advances in Communication and Control Theory, 1987, 500 pp., ISBN 0-911575-46-4, $82.00
Volume honoring A.V. Balakrishnan on his 60th birthday.
Features original contributions by internationally renowned specialists
from around the world, including: C. Baker (U.S.), A. Bensoussan (France),
J.S. Baras (U.S.), L.B. Berkovitz (U.S.), V.I. Blagodatskikh (USSR), J.M.C.
Clark (U.K.), L. Davisson (U.S.), D. Elliott (U.S.), Yu.G. Evtushenko (USSR),
H.O. Fattorini (U.S.), T. Hida (Japan), R.E. Kalman (U.S.), G. Koch (Italy),
I. Lasiecka (U.S.), N. Levan (U.S.), J.-L. Lions (France), M. Lucertini
(Italy), K. Malanowski (Poland), G.I. Marchuk (USSR), R. Mazumdar (U.S.),
A.S. Mishchenko (USSR), R. Mohler (U.S.), L.S. Pontryagin (USSR), Y. Sakawa
(Japan), J. Stoer (W. Germany), R. Triggiani (U.S.), A.N. Shiryaev (USSR),
R.B.Vinter (U.K.), A.J. Viterbi (U.S.).
TABLE OF CONTENTS
PART I -- COMMUNICATION SYSTEMS
Information Theory
Charles R. Baker
Information Capacity of Gaussian Channels ..... 2
Signal Processing
L.D. Davisson and T.C. Butash
Adaptive Linear Minimum Mean Square Error Prediction
..... 16
Mario Lucertini
Optimal Design of Communication Networks with Non-simultaneous
Demand Requirements ..... 28
Andrew J. Viterbi
Robust Decoding of Jammed Frequency Hopped Modulation
..... 47
Stochastic Processes
Stochastic Equations
J.S. Baras and A. Bensoussan
On Observer Problems for Systems Governed by Partial
Differential Equations ..... 131
J.M.C. Clark
A Remark on a Strong Solution Corollary of Watanabe and
Yamada ..... 155
Giorgio Koch
Mixtures of Gaussian Densities as Solutions of Fokker-Planck
Equations ..... 159
Albert N. Shiryaev
A simple Proof of "Predictable" Criteria for Absolute
Continuity of Probability Measures ..... 166
White Noise Theory
Takeyuki Hida, Ke-Seung Lee, and Si Si
Multidimensional Parameter White Noise and Gaussian Random
Fields ..... 177
Ravi R. Mazumdar and Jin H. Seo
On the Analytic Properties of Filter Maps in a Finitely
Additive White Noise Framework ..... 184
PART II -- CONTROL SYSTEMS
Partial Differential Equations: Boundary Control
Irena Lasiecka
Strong Stabilization of a Nonlinear Wave Equation with
Dissipation on the Boundary and Related Problems ..... 194
N. Levan
Stability, Stabilizability and the Equation [PAx,
x] + [x, PAx] = - ||B*x||2 ..... 214
J.-L. Lions
Exact Controllability and Non-Well-Set Boundary Value
Problems ..... 227
Yoshiyuki Sakawa
Vibration Control of a Flexible Manipulator with Three
Degrees of Freedom ..... 239
R. Triggiani
Wave Equation on a Bounded Domain with Boundary Dissipation:
An Operator Approach ..... 262
R.B. Vinter
Semigroup Models for Linear Distributed Systems with
Boundary Control ..... 287
Differential Games
Leonard D. Berkovitz
Differential Games without the Isaacs Condition .....
308
L.S. Pontryagin and A.S. Mishchenko
Linear Differential Game of Pursuit (Analytical Theory)
..... 337
Optimal Control
V.I. Blagodatskikh
An optimal Control Problem for Differential Inclusions
..... 350
H.O. Fattorini
Some Remarks on Convergence of Suboptimal Controls .....
359
Kazimierz Malanowski
Stability of Solutions to Convex Optimal Control Problems
for Systems with Delays ..... 364
PART III -- OPTIMIZATION
David L. Elliott
Time-Discretization of Nonlinear Systems ..... 390
Yu.G. Evtushenko, V. Mazurik, and V. Ratkin
Dialog System for Multicriteria Optimization (DISO) .....
401
J. Stoer
The Convergence of Sequential Quadratic Programming Methods
for Solving Nonlinear Programs ..... 412
PART IV -- MODELLING
E.H. Abed and N. DeClaris
Analytical and Geometric Problems in Nonlinear System
Modelling and Stability ..... 424
R.E. Kalman
The Problem of Prejudice in Scientific Modeling .....
448
G.I. Marchuk, L.N. Belykh, and S.M. Zuev
Mathematical Models in Immunology ..... 462
R.R. Mohler
Foundations of Immune Control and Cancer ..... 475