Perturbed sweeping process with a subsmooth set depending on the state

International audience; The class of subsmooth sets introduced in strictly contains the class of closed convex sets and the class of prox-regular sets. The present paper is concerned with the study of perturbed differential sweeping process inclusions where the moving set is nonconvex and non prox-regular and depends both on the time and on the state. We prove the existence of solution under the subsmoothness of the moving set.