Evasion from many pursuers in simple motion differential game with integral constraints

We study a two dimensional evasion differential game with several pursuers and one evader with integral constraints on control functions of players. Assuming that the total resource of the pursuers does not exceed that of the evader, we solve the game by presenting explicit strategy for the evader which guarantees evasion.

► We study an evasion differential game with several pursuers and one evader. ► The game is with integral constraint on control functions of the players. ► We assume that the total resource of the pursuers does not exceed that of the evader. ► We present an explicit strategy for the evader which guarantees evasion. ► Evasion is proved by estimating distances between evader and the pursuers.