Analysis and Control of Nonlinear Infinite Dimensional Systems

✍ Scribed by Viorel Barbu (Eds.)

Publisher: Academic Press
Year: 1993
Tongue: English
Leaves: 489
Series: Mathematics in Science and Engineering 190
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

This monograph covers the analysis and optimal control of infinite dimensional nonlinear systems of the accretive type. Many applications of controlled systems can be modelled in this form, including nonlinear elliptic and parabolic problems, variational inequalities of elliptic and parabolic type, Stefan problems and other problems with free boundaries, nonlinear hyperbolic problems and nonlinear first order partial differential equations. The control of melting and solidification processes and the optimal control of free surfaces are two examples of the types of applications that are presented in this work. The text also covers optimal control problems governed by variational inequalities and problems with free boundary and examines two complememtary aspects of theory of nonlinear infinite dimensional systems: existence of solutions and synthesis via optimality criteria. It also presents existence theory for nonlinear differential equations of accretive type in Banach spaces with applications to partial differential equations.

✦ Table of Contents

Content:
Edited by
Page iii

Copyright page
Page iv

Preface
Pages vii-viii
V. Barbu

Notation and Symbols
Pages ix-x

Chapter 1 Preliminaries
Pages 1-34

Chapter 2 Nonlinear Operators of Monotone Type
Pages 35-123

Chapter 3 Controlled Elliptic Variational Inequalities
Pages 125-198

Chapter 4 Nonlinear Accretive Differential Equations
Pages 199-313

Chapter 5 Optimal Control of Parabolic Variational Inequalities
Pages 315-405

Chapter 6 Optimal Control in Real Time
Pages 407-457

References
Pages 459-474

Index
Pages 475-476

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