Optimal strategies in the neighborhood of a collision course

作者: S. Gutman , G. Leitmann

DOI: 10.2514/3.7213

关键词: Mathematical optimizationCollisionDifferential gameMathematicsOrientation (geometry)Sign (mathematics)Acceleration (differential geometry)Stochastic gameApplied mathematicsPursuerBounded function

摘要: We consider a simple differential game between pursuer P and evader E in the neighborhood of nominal collision course. The payoff is terminal lateral miss-distance. control each player his acceleration normal to velocity vector, both players' controls are bounded. Saddlepoint strategies deduced for three combinations bounds shown be related sign derivative orientation line sight (L.O.S.).

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