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Extensions and Relaxations
Hardcover
Series: Mathematics and Its Applications, Book 542
General ReferenceCalculusGeneral Mathematics
ISBN13: 9781402005794
Publisher: Springer Nature
Published: Apr 30 2002
Pages: 408
Weight: 1.99
Height: 0.91 Width: 6.94 Depth: 9.34
Language: English
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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