Author: A.G. Chentsov
Publisher: Springer Science & Business Media
Published: 2013-03-14
Total Pages: 420
ISBN-13: 9401715270
DOWNLOAD EBOOKIn 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.
Book Synopsis Extensions and Relaxations by : A.G. Chentsov
Download or read book Extensions and Relaxations written by A.G. Chentsov and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.