O.-S. Serea & F. Watbled


Titre: "Convergence of Discontinuous Value Functions of Singularly Perturbed Control Systems with terminal or infimum cost."


Abstract: We prove that the discontinuous value function of an optimal control problem with terminal or infimum cost for a control system with a singular perturbation converges to the discontinuous value function of an optimal control problem associated with the control system obtained by averaging. The main novelty here is the discontinuity of the cost.