This article is cited in 3 papers

MATHEMATICS

Extensions in the class of finitely additive measures and conditions of asymptotic non-sensitivity under a weakening of the part of constraints

A. G. Chentsov

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

Abstract: For an abstract problem of control, the extension construction in the class of finitely additive measures is considered. Conditions of asymptotic non-sensitivity of the attainable set under a weakening of the part of constraints are investigated.

Keywords: extension, finitely additive measure, asymptotic non-sensitivity.

UDC: 517.972.8

MSC: 28A33

Received: 15.09.2008

DOI: 10.20537/vm090106