The game of two cars with a containment probability as a cost function: The case of variable speed

✍ Scribed by Y. Yavin; R. de Villiers

• Publisher: Elsevier Science
• Year: 1989
• Tongue: English
• Weight: 452 KB
• Volume: 18
• Category: Article
• ISSN: 0898-1221
• DOI: 10.1016/0898-1221(89)90124-7

✦ Synopsis

Abstraet--A stochastic version of Isaacs's [1] "game of two cars" is dealt with here. In this version the pursuer has a variable speed owing to thrust and drag forces, whereas the evader's speed is constant. Also, the pursuer can maneuver as long as his speed is bounded by some lower and upper bounds. By using a containment probability as a cost functional for the game, saddle-point feedback strategies are computed, and it is shown, for a range of values of some parameters, that a proportional navigation guidance law is a suboptimal feedback pursuit strategy.