A Stochastic Pursuit-Evasion Differential Game for Autonomous Vehicles

Impact Technologies, in collaboration with the Georgia Institute of Technology, proposes the development of stochastic pursuit-evasion differential games with multi-pursuers and multi-evaders. Specifically, this project will consist of 1) Development of multi-pursuit and multi-evader game scenarios; 2) Problem formulation for the proposed stochastic differential pursuit-evasion games; 3) Establishment of the existence of Nash-type equilibrium for the value of the differential games; 4) Solution generation for the boundary value problem based on the Hamilton-Jacobi-Isaacs equation of pursuit-evasion differential games with state constraints; and 5) Design tool demonstration of the developed technology.