Almost convex valued perturbation to second order sweeping process

This paper deals with nonconvex set-valued perturbation to second order nonlinear evolution system governed by the so-called nonconvex sweeping process for a class of subsmooth moving sets depending on state and velocity. Making use of our recent paper obtained for a convex valued perturbation, we prove a new existence result when the perturbations are \textit{almost convex}. Furthermore, we apply our result in the study of an optimal control problem known as a \textit{minimum time problem}.

کلیدواژه ها:

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