Thulasi Mylvaganam

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A method to find approximate solutions to a class of nonzero-sum differential games without solving partial differential equations is introduced. The solution relies upon the use of a dynamic state feedback control law and the solution of algebraic equations. The two-player case is addressed before the N -player case is discussed and a numerical example(More)
The problem of steering a team of agents from their initial positions to a predefined end-configuration while avoiding collisions is formulated as a differential game. A method for approximating the solution of the differential game is then presented, providing -Nash strategies. It is shown that approximate solutions are sufficient to guarantee that the(More)