Document Type : Original Article

Authors

• Mustapha Fateh Yarou
• Doria doria

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

Abstract

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 (https://doi.org/10.23952/jnfa.2020.26), 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.

Keywords

• Sweeping process
• subsmooth sets
• almost convex
• attainable set
• minimum time problem