Extensions and Relaxations di A. G. Chentsov, S. I. Morina edito da Springer Netherlands
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Extensions and Relaxations

EAN:

9781402005794

ISBN:

1402005792

Pagine:
428
Formato:
Hardback
Lingua:
Inglese
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Descrizione Extensions and Relaxations

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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