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Variational Analysis and Optimization of Sweeping Processes with Controlled Moving Sets

Boris S. Mordukhovich(aa1086***at***wayne.edu)

Abstract: This paper briefly overviews some recent and very fresh results on a rather new class of dynamic optimization problems governed by the so-called sweeping (Moreau) processes with controlled moving sets. Uncontrolled sweeping processes have been known in dynamical systems and applications starting from 1970s while control problems for them have drawn attention of mathematicians, applied scientists, and practitioners quite recently. We discuss here such problems and major results achieved in their theory and applications.

Keywords: Variational analysis, dynamic optimization, sweeping processes, optimal control, discrete approximations, generalized differentiation.

Category 1: Convex and Nonsmooth Optimization

Citation: Department of Mathematics, Wayne State University, Detroit, Michigan, USA, May 2018.

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Entry Submitted: 05/07/2018
Entry Accepted: 05/07/2018
Entry Last Modified: 05/07/2018

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