Brachistochrone Pursuit - Evasion Games and Riemann-Finsler Geometry

Details Brachistochrone Pursuit - Evasion Games and Riemann-Finsler Geometry Brachistochrone Pursuit - Evasion Games and Riemann-Finsler Geometry

2011-01-10

arxiv.org/abs/1101.1942v2

Mathematics

Optimization and Control

8 pages, 1 Figure

Scientific paper

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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