%0 Journal Article
%T Almost convex valued perturbation to second order sweeping process
%J Mathematical Analysis and its Contemporary Applications
%I RGNNA Publishing Group.
%Z 2716-9898
%A Affane, Doria
%A Yarou, Mustapha Fateh
%D 2023
%\ 07/01/2023
%V 5
%N 2
%P 61-72
%! Almost convex valued perturbation to second order sweeping process
%K Sweeping process
%K subsmooth sets
%K almost convex
%K attainable set
%K minimum time problem
%R 10.30495/maca.2023.1990922.1073
%X 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}.
%U https://www.macajournal.com/article_704843_69a129d553ca33123e43632ad913fd07.pdf