On the reconnaissance 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 optimal open-loop controls are found under the assumption that the reconnaissance game can be decomposed into a target game and an escape game. The cases of equal speed and speed advantage with the evader are discussed briefly.