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Extensions and Relaxations

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30 April 2002
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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.

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    Product Details
    ISBN-13
    9781402005794
    Author
    Aleksander Chentsov
    Publisher
    Springer Nature B.V.
    Published
    30 April 2002
    Format
    Hardback

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    RRP: $180.29
    $177.59
    Ships in 3-5 business days

    Delivery estimate

    Hurry up! Current stock:

    Extensions and Relaxations

    RRP: $180.29
    $177.59

    Description

    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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