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.
| ISBN: | 9789048160013 |
| Publication date: | 6th December 2010 |
| Author: | A G Chentsov, S I Morina |
| Publisher: | Springer an imprint of Springer Netherlands |
| Format: | Paperback |
| Pagination: | 422 pages |
| Series: | Mathematics and Its Applications |
| Genres: |
Optimization Cybernetics and systems theory Functional analysis and transforms Integral calculus and equations Topology |