Optimal Control of Nonsmooth Distributed Parameter Systems

  • Authors
  • Dan┬áTiba

Part of the Lecture Notes in Mathematics book series (LNM, volume 1459)

Table of contents

  1. Front Matter
    Pages I-VI
  2. Dan Tiba
    Pages 1-28
  3. Dan Tiba
    Pages 29-76
  4. Dan Tiba
    Pages 77-121
  5. Dan Tiba
    Pages 122-151
  6. Back Matter
    Pages 152-159

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.


differential equation equation mathematics operator optimal control partial differential equation

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 1990
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-53524-9
  • Online ISBN 978-3-540-46755-7
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • Buy this book on publisher's site