Extensions and Relaxations: 542 (Mathematics and Its Applications) - Hardcover

Chentsov, Aleksander; Morina, S.I.

 
9781402005794: Extensions and Relaxations: 542 (Mathematics and Its Applications)

Inhaltsangabe

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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Reseña del editor

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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9789048160013: Extensions and Relaxations: 542 (Mathematics and Its Applications)

Vorgestellte Ausgabe

ISBN 10:  9048160014 ISBN 13:  9789048160013
Verlag: Springer, 2010
Softcover