Two Targets Pursuit-Evasion Differential Game with a Restriction on the Targets Turning

Abstract

Abstract The differential game under consideration belongs to the class of pursuit-evasion games in which pursuers are less than targets. Namely, the differential game of one pursuer against a coalition of two coherently dodging targets, one of which is false, is considered on the plane. The probabilities of targets classification are given. The pursuer has a simple motion. Each of the targets has a restriction on the minimum allowable turning radius. The main criterion is the mathematical expectation of the distance to the true target at a terminal point in time that is not fixed in advance and chosen by the pursuer during the pursuit process. The saddle point of the game in closed-loop strategies was found. Illustrative examples are given.