A Simple Motion Differential Game of Evasion from Many Pursuers with Integral and Different Type of Constraints in Critical Case

摘要

In this paper we study a simple motion evasion differential game many players in critical case with integral and different type of constraints. Considered free cases; 1) maximal resources of the evader more then summa maximal resources of pursuers; 2) maximal resources of the evader equal summa maximal resources of pursuers; 3) different types of constraints on controls. In all case proof of theorem evasion from many pursuers. To construct the evasion control, the initial positions, current states and controls of pursuers are used.