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  • © 1990

Optimal Control of Nonsmooth Distributed Parameter Systems

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

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Table of contents (4 chapters)

  1. Front Matter

    Pages I-VI
  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

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.

Keywords

  • differential equation
  • equation
  • mathematics
  • operator
  • optimal control
  • partial differential equation

Bibliographic Information

  • Book Title: Optimal Control of Nonsmooth Distributed Parameter Systems

  • Authors: Dan Tiba

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0085564

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1990

  • Softcover ISBN: 978-3-540-53524-9Published: 12 December 1990

  • eBook ISBN: 978-3-540-46755-7Published: 14 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: VIII, 160

  • Topics: Systems Theory, Control , Calculus of Variations and Optimization, Analysis

Buying options

eBook USD 29.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 39.95
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions