Optimal Control of Nonsmooth Distributed Parameter Systems by Dan TibaOptimal Control of Nonsmooth Distributed Parameter Systems by Dan Tiba

Optimal Control of Nonsmooth Distributed Parameter Systems

byDan Tiba

Paperback | December 12, 1990

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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.
Title:Optimal Control of Nonsmooth Distributed Parameter SystemsFormat:PaperbackDimensions:168 pagesPublished:December 12, 1990Publisher:Springer Berlin HeidelbergLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:3540535241

ISBN - 13:9783540535249


Table of Contents

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