Two weak pursuers in a game against a single evader |
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Authors: | S S Kumkov V S Patsko S Le Ménec |
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Affiliation: | 1. Krasovskii Institute of Mathematics and Mechanics, Ural Branch, Russian Academy of Sciences, Yekaterinburg, Russia 2. Ural Federal University, Yekaterinburg, Russia 3. Airbus Group / MBDA France, Paris, France
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Abstract: | We consider an antagonistic differential game where the first player controls the actions of two pursuers that aim to minimize, at a given time instant their miss with respect to an evader. The second (maximizing) player is identified with the evader. We study the case when dynamic capabilities of pursuers are less than the capabilities of the evader. We propose a quasioptimal control method for the first player with switching lines. We also show modeling results. |
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