Inverse Open Loop Noncooperative Differential Games and Inverse Optimal Control
We consider the problem of computing parameters of player cost functionals such that given state and control trajectories constitute an open loop Nash equilibrium for a noncooperative differential game. We propose two methods for solving this inverse differential game problem and novel conditions under which our methods compute unique cost functional parameters. Our conditions are analogous to persistence of excitation conditions in adaptive control and parameter estimation. The efficacy of our methods is illustrated in simulations.
IEEE Transactions on Automatic Control