Brachistochrone Pursuit - Evasion Games and Riemann-Finsler Geometry
  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. 
Mehdi Rafie-Rad
math.OC math.DG