This article is cited in 9 papers

Optimization od Dynamic Systems

An abstract confinement problem: a programmed iterations method of solution

A. G. Chentsov

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

Abstract: The game problem of confinement of the trajectories of a dynamic system in a system of closed sets of a topological space using multivalued quasi-strategies as controls is studied. The solvability set is constructed by programmed iterations on a space of subsets of the position set. A unified scheme is applied to study confinement on finite, infinite and discrete time intervals.

Presented by the member of Editorial Board: A. I. Kibzun

Received: 28.06.2003

 English version: Automation and Remote Control, 2004, 65:2, 299–310

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