Brachistochrone Pursuit - Evasion Games and Riemann-Finsler Geometry

Mehdi Rafie-Rad

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arXiv · 1101.1942

Brachistochrone Pursuit - Evasion Games and Riemann-Finsler Geometry

Mehdi Rafie-Rad

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Abstract

A geometric approach to differential game theory is illustrated. The parallel pursuit is considered as a two-player zero-sum differential game. The optimal strategies of each player is designed based on Riemann-Finsler geometry. Our approach incorporates a closed loop optimal control and the presentation is familiar with a Brachistochrone type problem.

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Mehdi Rafie-Rad. 2012-07-19. Brachistochrone Pursuit - Evasion Games and Riemann-Finsler Geometry. https://arxiv.org/abs/1101.1942

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