Optimal Control of Nonsmooth Distributed Parameter Systems / Edition 1

by Dan Tiba

Overview

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.

Product Details

ISBN-13:	9783540535249
Publisher:	Springer Berlin Heidelberg
Publication date:	02/04/1991
Series:	Lecture Notes in Mathematics , #1459
Edition description:	1990
Pages:	160
Product dimensions:	6.10(w) x 9.25(h) x 0.01(d)

Table of Contents

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

Editorial Reviews

Tiba (Institute of Math., Academy of Sciences, Bucharest) deals with elements of nonlinear analysis, semilinear equation, variational inequalities, and free-boundary problems. No index. Annotation c. Book News, Inc., Portland, OR (booknews.com)

Booknews