Problem of pursuit in linear discrete games with state information (Q2277379)

The problem of pursuit in discrete games has been developed under the hypothesis that the pursuer can observe the decisions of the evader. In this paper we shall also be concerned with such a problem, but unlike to previous approaches we shall assume that the pursuer observes only the system states. The organization of the paper is as follows. Section 2 is devoted to the formulation of the problem. In Section 3, a method of construction of a pursuit strategy and some sufficient conditions for pursuit are established. Section 4 gives some estimations of the effect of the proposed method.