A Geometric Approach for the Cooperative Two-Pursuer One-Evader Differential Game

Abstract

This paper revisits Isaacs’ two cutters and fugitive ship differential game where two faster pursuers cooperate to capture a slower evader in minimum time; the three players have simple motion. The evader, knowing that is being pursued by two cooperative pursuers, tries to maximize the capture time. A solution of this differential game is determined based on the Hamiltonian formulation and based on the geometric properties of the game. Additionally, this solution is verified by analyzing the properties of the obtained candidate Value function.