Abstract
Motivated to analyze anti-ballistic point defense - as well as ship defense scenarios - against highly maneuverable attacking missiles, a zero-sum pursuit-evasion game with a state constraint imposed on the evader is formulated. The performance index of the game is the miss distance. A perfect information structure, the worst case from the point of view of the defense, is assumed. The analysis is performed using a planar kinematic model linearized around a nominal collision course, leading to a fixed horizon, terminal pay-off linear differential game with bounded controls. Compared to the unconstrained game, the existence of the state constraint creates new singular phenomena which substantially modify the solution. The results of the analysis serve as the basis for the investigation of challenging realistic (imperfect information) future defense problems.
Research partly supported by AFOSR Grant No. F49620-92-J-0527.
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© 1995 Birkhäuser Boston
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Lipman, Y., Shinar, J. (1995). A Linear Pursuit-Evasion Game with a State Constraint for a Highly Maneuverable Evader. In: Olsder, G.J. (eds) New Trends in Dynamic Games and Applications. Annals of the International Society of Dynamic Games, vol 3. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-4274-1_7
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DOI: https://doi.org/10.1007/978-1-4612-4274-1_7
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