Pursuit of an Evader with Hybrid Dynamics

A pursuit-evasion differential game with bounded controls and prescribed duration is considered. The evader has a finite number of possible dynamics, while the dynamics of the pursuer is fixed. The evader can change its dynamics several times during the game. The pursuer knows all possible evader dynamics, but not the actual one. The optimal pursuer feedback strategy in this game is obtained. This strategy is robust with respect to the order of the evader dynamics during the game, as well as instants of changing the dynamics. For this strategy, the capture zone is constructed. An illustrative example is presented.