Three-Player Pursuit and Evasion Conflict

This paper deals with a three-player conflict. In addition to the standard pursuit–evasion game, in which the pursuer minimizes and the evader maximizes the miss distance, the evader launches a short-range missile to defend itself. To clarify matters, ideal players, linear kinematics, and bounded controls are assumed. This paper presents algebraic conditions for the pursuer to capture the evader while evading the defender. This enables the designer to perform a parameter analysis and compute the sufficient requirements at the early stages of the design.