Extensions and Relaxations / Edition 1 by Aleksander Chentsov, S.I. Morina | | 9781402005794 | Hardcover | Barnes & Noble
Extensions and Relaxations / Edition 1

Extensions and Relaxations / Edition 1

by Aleksander Chentsov, S.I. Morina
     
 

ISBN-10: 1402005792

ISBN-13: 9781402005794

Pub. Date: 04/30/2002

Publisher: Springer Netherlands

In this book a general topological construction of extension is proposed for problems of attainability in topological spaces under perturbation of a system of constraints. This construction is realized in a special class of generalized elements defined as finitely additive measures. A version of the method of programmed iterations is constructed. This version

Overview

In this book a general topological construction of extension is proposed for problems of attainability in topological spaces under perturbation of a system of constraints. This construction is realized in a special class of generalized elements defined as finitely additive measures. A version of the method of programmed iterations is constructed. This version realizes multi-valued control quasistrategies, which guarantees the solution of the control problem that consists in guidance to a given set under observation of phase constraints.

Audience: The book will be of interest to researchers, and graduate students in the field of optimal control, mathematical systems theory, measure and integration, functional analysis, and general topology.

Product Details

ISBN-13:
9781402005794
Publisher:
Springer Netherlands
Publication date:
04/30/2002
Series:
Mathematics and Its Applications (closed) Series, #542
Edition description:
2002
Pages:
422
Product dimensions:
0.00(w) x 0.00(h) x 0.04(d)

Table of Contents

Preface.
1. Phase Constraints and Boundary Conditions in Linear Control Problems.
2. General Structures.
3. Topological Constructions of Extensions and Relaxations.
4. Elements of Measure Theory and Extension Constructions.
5. Compactifications and Problems of Integration.
6. Non-Anticipating Procedures of Control and Iteration Methods for Constructing Them.
7. An Extension Construction for Set-Valued Quasi-Strategies.
Conclusion. References. Notation. Index.

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