MATHEMATICS

To the question about precise and approximate validity in abstract control problem

A. G. Chentsov

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences

Abstract: The abstract problem of control and its relaxations connected with a weakening of constraints on the choice of programmed strategies are considered. Relations connecting the sets of admissible elements of the initial problem and its extension are investigated. Conditions sufficient for the stability of the initial attainable set (with the exactness until a closure) are obtained.

Keywords: finitely additive measure, attraction set, moment constraints.

UDC: 517.972.8

MSC: 28A33

Received: 25.02.2010

DOI: 10.20537/vm100203