Extensions and Relaxations by Aleksander ChentsovExtensions and Relaxations by Aleksander Chentsov

Extensions and Relaxations

byAleksander Chentsov, S.I. Morina

Paperback | December 6, 2010

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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.
Title:Extensions and RelaxationsFormat:PaperbackDimensions:422 pages, 10.98 × 8.27 × 0 inPublished:December 6, 2010Publisher:Springer NetherlandsLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:9048160014

ISBN - 13:9789048160013

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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.