Pursuit-evasion games with state constraints: The Resonnaissance Game

The Reconnaissance Game is a pursuit-evasion game with state constraints in which the evader tries to reconnoiter a target from as close a distance as possible, while guaranteeing safe escape from a pursuer. The pursuer has capture capability but he also has a territorial constraint. The case of complete maneuverability and speed advantage with the pursuer is analyzed and an algorithm is developed for computing solutions. The similar cases of equal speed and speed advantage with the evader are also discussed.