AN APPROACH-EVASION GAME OF 2 CONTROLLABLE OBJECTS WITH RESTRICTED MANEUVERABILITY

Two controllable objects of restricted manoeuvrability, moving in a pl ane so that one tries to approach the other, are treated in a game-the oretic context. An optimal positional strategy is constructed for the pursuer, guaranteeing, for certain constraints on the problem paramete rs, approach to within a minimum distance from the evader at a certain time, which is not specified in advance. A computer is used to constr uct the domain of the evader's initial positions for which the pursuer 's optimal strategy proposed in the paper guarantees coincidence captu re of the evader within a time not exceeding a prescribed value. Other conditions are imposed on the game parameters so that the pursuer's s trategy as constructed here will guarantee the minimum distance betwee n the objects for the entire duration of the game. The paper is relate d to [1-8].