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.
Autorius: | S. I. Morina, A. G. Chentsov, |
Serija: | Mathematics and Its Applications |
Leidėjas: | Springer Netherlands |
Išleidimo metai: | 2010 |
Knygos puslapių skaičius: | 428 |
ISBN-10: | 9048160014 |
ISBN-13: | 9789048160013 |
Formatas: | 279 x 210 x 24 mm. Knyga minkštu viršeliu |
Kalba: | Anglų |
Parašykite atsiliepimą apie „Extensions and Relaxations“