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Optimal Control of Nonsmooth Distributed Parameter Systems

  • Book
  • © 1990

Overview

Authors:
  1. Dan Tiba
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1459)

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About this book

The book is devoted to the study of distributed control problems governed by various nonsmooth state systems. The main questions investigated include: existence of optimal pairs, first order optimality conditions, state-constrained systems, approximation and discretization, bang-bang and regularity properties for optimal control. In order to give the reader a better overview of the domain, several sections deal with topics that do not enter directly into the announced subject: boundary control, delay differential equations. In a subject still actively developing, the methods can be more important than the results and these include: adapted penalization techniques, the singular control systems approach, the variational inequality method, the Ekeland variational principle. Some prerequisites relating to convex analysis, nonlinear operators and partial differential equations are collected in the first chapter or are supplied appropriately in the text. The monograph is intended for graduate students and for researchers interested in this area of mathematics.

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Table of contents (4 chapters)

  1. Front Matter

    Pages I-VI
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  2. Elements of nonlinear analysis

    • Dan Tiba
    Pages 1-28

  3. Semilinear equations

    • Dan Tiba
    Pages 29-76

  4. Variational inequalities

    • Dan Tiba
    Pages 77-121

  5. Free boundary problems

    • Dan Tiba
    Pages 122-151

  6. Back Matter

    Pages 152-159
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