Speaker: Boris Mordukhovich, Wayne State University

Title: Optimal control of sweeping processes with applications

Abstract:
This seminar is devoted to a novel class of optimal control problems governed by the so-called sweeping (or Moreau) processes that are described by discontinuous dissipative differential inclusions. Although such dynamical processes, strongly motivated by applications, have appeared in 1970s, optimal control problems for them have been formulated quite recently and occurred to be rather complicated from the viewpoint of developed control theory. Their study and applications require advanced tools of variational analysis and generalized differentiation, which will be presented in the seminar. Combining this machinery with the method of discrete approximations leads us deriving new necessary optimality conditions and their applications to practical models in elastoplasticity, traffic equilibria, and robotics.

Department of Mathematical Sciences
George Mason University
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