CONSTRUCTING THE COST FUNCTION IN A PHASE-CONSTRAINED RENDEZVOUS GAMEWITH 2 PURSUERS AND ONE EVADER

A differential rendezvous game of two pursuers and one evader in the p resence of a ''half-plane'' phase constraint is considered. It is assu med that all the players execute simple motions and that the game proc eeds on a plane. Geometric constraints are imposed on the control acti on vectors, and the evader has superiority in the control resource. Th e game duration is fixed. The payment functional is the distance betwe en the evader and the pursuer closer to it at the end of the game. The problem of determining the value of the cost function of the game for any possible position is posed and solved.