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Extensions and Relaxations by A. G. Chentsov

Extensions and Relaxations

by A. G. Chentsov
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Book cover type: Paperback
  • ISBN13: 9789048160013
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Publication Date:
  • Pages: 408
  • Original Price: EUR 49.99
  • Language: English
  • Edition: N/A
  • Item Weight: 1034 grams
  • BISAC Subject(s): Linear & Nonlinear Programming, Calculus, and System Theory

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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