Abstract
We study the situation involving two pursuers and one evader in the framework of DGL/1 (Linear Differential Game with bounded controls and first order dynamics for both players). The criterion of the one-on-one DGL/1 game is the terminal miss distance (perpendicular to the initial pursuer/evader Line Of Sight). The pursuer is minimizing this outcome meantime the evader is maximizing the same criterion. We introduce one pursuer more and analyze the changes. A new optimal evasion strategy is then derived to compromise the terminal miss distance with respect to each pursuer. This trade-off strategy and the resulting 2 ×1 No Escape Zone have been computed when the pursuers have the same time-to-go as well as with different times-to-go (equal and different durations of the individual games).
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Le Ménec, S. (2011). Linear Differential Game with Two Pursuers and One Evader. In: Breton, M., Szajowski, K. (eds) Advances in Dynamic Games. Annals of the International Society of Dynamic Games, vol 11. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-8089-3_11
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DOI: https://doi.org/10.1007/978-0-8176-8089-3_11
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