Extensions and relaxations

著者
書誌事項

Extensions and relaxations

by A.G. Chentsov and S.I. Morina

(Mathematics and its applications, Vol. 542)

Kluwer Academic, c2002

この図書・雑誌をさがす
注記

Includes bibliographical references and index

内容説明・目次

内容説明

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.

目次

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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詳細情報
  • NII書誌ID(NCID)
    BA57471689
  • ISBN
    • 1402005792
  • 出版国コード
    ne
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Dordrecht
  • ページ数/冊数
    xiv, 408 p.
  • 大きさ
    25 cm
  • 親書誌ID
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