Science & Math | Mathematics

Extensions and Relaxations

by A.G. Chentsov

2020-04-20 00:02:23

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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 defin... Read more

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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Book Details

File size6.94x9.34x0.91inches
Print pages422
PublisherSpringer
Publication date March 14, 2013
Languageeng
ISBN9789401715270
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A.G. Chentsov
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...

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