| Extensions and Relaxations Contributor(s): Chentsov, A. G. (Author), Morina, S. I. (Author) |
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ISBN: 9048160014 ISBN-13: 9789048160013 Publisher: Springer OUR PRICE: $52.24 Product Type: Paperback - Other Formats Published: December 2010 |
| Additional Information |
| BISAC Categories: - Mathematics | Linear & Nonlinear Programming - Mathematics | Calculus - Science | System Theory |
| Dewey: 514 |
| Series: Mathematics and Its Applications |
| Physical Information: 0.86" H x 6.14" W x 9.21" (1.30 lbs) 408 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |