Well-posedness and nonsmooth Lyapunov pairs for state-dependent maximal monotone differential inclusions
Optimization and Control
2019-03-06 v1
Abstract
In this paper, we introduce for the first time a class of state-dependent maximal monotone differential inclusions. Then the existence and uniqueness of solutions are obtained by using an implicit discretization scheme and a kind of hypo-monotonicity assumption respectively. In addition, a characterization for nonsmooth Lyapunov pairs associated with such systems is provided. Our result can be applied to study state-dependent sweeping processes and Lur'e dynamical systems. It is new even the involved maximal monotone operators depend only on the time.
Keywords
Cite
@article{arxiv.1903.01815,
title = {Well-posedness and nonsmooth Lyapunov pairs for state-dependent maximal monotone differential inclusions},
author = {Ba Khiet Le},
journal= {arXiv preprint arXiv:1903.01815},
year = {2019}
}