M. Quincampoix & F. Watbled


Titre: "Averaging method for discontinuous Mayer's problem of singularly perturbed control systems."


Abstract: In the present paper, we prove that the optimal cost of a Mayer's problem for a control system with singular perturbation does converge to the optimal cost of a Mayer's problem associated with control system obtained by averaging. The main novelty of our result lies on the fact that we did not require any continuity assumption on the final cost.