Study of Linear Game with Two Pursuers and One Evader: Different Strength of Pursuers

The paper deals with a problem of pursuit-evasion with two pursuers and one evader having linear dynamics. The pursuers try to minimize the final miss (an ideal situation is to get exact capture), the evader counteracts them. Results of numerical construction of level sets (Lebesgue sets) of the value function are given. A feedback method for producing optimal control is suggested. The paper includes also numerical simulations of optimal motions of the objects in various situations.