sweeping processes – Optimization Online

Optimal Control of Differential Inclusions

Published: 2019/07/08, Updated: 2022/05/13

Other Topics differential inclusions, discrete approximations, generalized differentiation, optimal control, sweeping processes, variational analysis

This paper is devoted to optimal control of dynamical systems governed by differential inclusions in both frameworks of Lipschitz continuous and discontinuous velocity mappings. The latter framework mostly concerns a new class of optimal control problems described by various versions of the so-called sweeping/Moreau processes that are very challenging mathematically and highly important in applications … Read more

Variational Analysis and Optimization of Sweeping Processes with Controlled Moving Sets

Published: 2018/05/07

Boris S. Mordukhovich

Convex and Nonsmooth Optimization discrete approximations, dynamic programming, generalized differentiation, optimal control, sweeping processes, variational analysis

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 … Read more