Extensions and Relaxations

By A.G. Chentsov

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.

• Format: Hardcover
• Language: English
• ISBN: 1402005792
• ISBN13: 9781402005794
• Release Date: April 2002
• Publisher: Springer
• Length: 408 Pages
• Weight: 1.99 lbs.
• Dimensions: 0.9" x 6.9" x 9.3"