Perturbed second-order state-dependent Moreau's sweeping process

In this paper, using a discretization approach, the existence of solutions for a class of second-order differential inclusions is stated in finite dimensional setting. The right hand side of the problem is governed by the so-called nonconvex state-dependent sweeping process and contains a general perturbation with unbounded values.

Keywords:

differential inclusion , uniformly prox-regular sets , unbounded perturbation , absolutely continuous solution