On controllability and the pursuit problem for linear discrete systems

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
• преследования
• убегания
• управления
• 0-управляемость
• игры
• стратегия
• интегральное ограничение
• дискретное ограничение