Mathematics and Its Applications

Chentsov, A.G.; Morina, S.I.

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.

Details

Published by: Springer

Publication Date: 2010-12-06

Format: Paperback

ISBN-13: 9789048160013

DOI: 10.1007/978-94-017-1527-0

Dimensions: 279cm x210cm

Pages: 408