Extensions and Relaxations: 542 - Brossura

Chentsov, A.G.; Morina, S.I.

 
9789048160013: Extensions and Relaxations: 542

Sinossi

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.

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Contenuti

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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Altre edizioni note dello stesso titolo

9781402005794: Extensions and Relaxations: 542

Edizione in evidenza

ISBN 10:  1402005792 ISBN 13:  9781402005794
Casa editrice: Kluwer Academic Pub, 2002
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