Optimal control of the sweeping process over polyhedral controlled sets

The talk concerns a new class of optimal control problems
governed by the dissipative non-Lipschitzian differential inclusion of the
sweeping/Moreau process over a moving controlled polyhedral set. Using the
method of discrete approximations and generalized differential tools of
variational analysis, we derive necessary optimality conditions for this
problem expressed in terms of the initial data of the moving convex
polyhedron.