Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8055276 | Nonlinear Analysis: Hybrid Systems | 2018 | 12 Pages |
Abstract
We develop a theory which allows making qualitative conclusions about the dynamics of both monotone and non-monotone Moreau sweeping processes. Specifically, we first prove that any sweeping processes with almost periodic monotone right-hand-sides admits a globally exponentially stable almost periodic solution. And then we describe the extent to which such a globally stable solution persists under non-monotone perturbations.
Related Topics
Physical Sciences and Engineering
Engineering
Control and Systems Engineering
Authors
Mikhail Kamenskii, Oleg Makarenkov, Lakmi Niwanthi Wadippuli, Paul Raynaud de Fitte,