# Extensions and Relaxations (Mathematics and Its Applications) by Aleksander Chentsov

### Description

**Extensions and Relaxations (Mathematics and Its Applications) by Aleksander Chentsov**

English | 2002 | ISBN: 9048160014 | 419 Pages | PDF | 15 MB

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.

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