differential inclusions – 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

Nonsmooth Lyapunov pairs for infinite-dimensional first-order differential inclusions

Published: 2010/06/04

Samir Adly

Abderrahim Hantoute

Michel Thera

Infinite Dimensional Optimization, Systems governed by Differential Equations Optimization contingent derivatives, differential inclusions, invariance of sets, lipschitz perturbations, lower semi-continuous lyapunov pairs and functions, maximal monotone operators, subdifferential sets

The main objective of this paper is to provide new explicit criteria to characterize weak lower semi-continuous Lyapunov pairs or functions associated to first-order differential inclusions in Hilbert spaces. These inclusions are governed by a Lipschitzian perturbation of a maximally monotone operator. The dual criteria we give are expressed by the means of the proximal … Read more