Document Type : Original Article


LMPA Laboratory, Department of Mathematics, Jijel University, PB98, Cite Ouled Aissa, Jijel, Algeria


This paper deals with nonconvex set-valued perturbation to second-order nonconvex sweeping process for a class of sub-smooth moving sets depending jointly on state and velocity. Making use of our recent paper published in JNFA (, we prove the existence of a solution for the problem with almost convex perturbations. Furthermore, we apply our result in the study of the existence of an optimal solution to a minimum-time problem.