MATHEMATICS

On controllability and the pursuit problem for linear discrete systems

Sotvoldiev

Tashkent Institute of Finance

Abstract: In this paper, it is considered linear discrete control and pursuit game problems. Control vectors are subjected to total constraints those are a discrete analogue of the integral constraints. Necessary and sufficient conditions of solvability of the 0-controllability problem are obtained. The connection between 0-controllability and solvability of the pursuit problem is studied.

Keywords: pursuit, evader, control, 0-controllability, game, strategy, integral constraint, discrete constraint.

UDC: 517.977.5+517.978.4

MSC: Primary 49J15; Secondary 49N05

Language: English

DOI: 10.26117/2079-6641-2021-34-1-57-62