Invariant sets and Lyapunov pairs for differential inclusions with maximal monotone operators

• Published in: Journal of mathematical analysis and applications Vol. 457; no. 2; pp. 1017 - 1037
• Main Authors: Adly, Samir, Hantoute, Abderrahim, Nguyen, Bao Tran
• Format: Journal Article
• Language: English
• Published: Elsevier Inc 15.01.2018
• Subjects: Differential inclusions; Invariant sets; lsc Lyapunov pairs and functions; Lyapunov stability; Maximal monotone operators; Variational and nonsmooth analysis; Lyapunov stability; Variational and nonsmooth analysis; Differential inclusions; Maximal monotone operators; lsc Lyapunov pairs and functions; Invariant sets

We give different conditions for the invariance of closed sets with respect to differential inclusions governed by a maximal monotone operator defined on Hilbert spaces, which is subject to a Lipschitz continuous perturbation depending on the state. These sets are not necessarily weakly closed as in...