Digital Commons Network^™

Variational Analysis And Optimal Control Of The Sweeping Process, Hoang Dinh Nguyen

Wayne State University Dissertations

We formulate and study an optimal control problem for the sweeping(Moreau) process, where control functions enter the moving sweeping

set. To the best of our knowledge, this is the first study in the literature devoted to optimal control of the sweeping process. We first establish an existence theorem of optimal solutions and then derive necessary optimality conditions for this optimal control problem of a new type, where the dynamics is governed by discontinuous differential inclusions with variable right-hand sides. Our approach to necessary optimality conditions is based on the method of discrete approximations and advanced tools of variational analysis and …