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Optimal control of nonsmooth distributed parameter systems / Dan Tiba.

By: Material type: TextTextSeries: Lecture notes in mathematics (Springer-Verlag) ; 1459.Publication details: Berlin ; New York : Springer-Verlag, ©1990.Description: 1 online resource (iv, 159 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783540467557
  • 3540467556
Subject(s): Additional physical formats: Print version:: Optimal control of nonsmooth distributed parameter systems.DDC classification:
  • 515.642 22
LOC classification:
  • QA3 .L28 no. 1459 QA402.3
Other classification:
  • 31.49
  • 31.45
  • *49-02
  • 27
  • 49J20
  • 49J52
  • 49K20
Online resources:
Contents:
Elements of nonlinear analysis -- Semilinear equations -- Variational inequalities -- Free boundary problems.
Action note:
  • digitized 2010 HathiTrust Digital Library committed to preserve
Summary: 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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Includes bibliographical references (pages 162-159).

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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Print version record.

Elements of nonlinear analysis -- Semilinear equations -- Variational inequalities -- Free boundary problems.

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