Lyapunov stability of differential inclusions with Lipschitz Cusco perturbations of maximal monotone operators

2018/01/19 by Samir Adly, Adly, Samir, Abderrahim Hantoute +3
Computer Science · Engineering · Mathematics · #FOS: Mathematics #Optimization and Control (math.OC) #Optimization and Variational Analysis #Stability and Control of Uncertain Systems #Stability and Controllability of Differential Equations #math.OC

paper · pdf · doi:10.48550/arxiv.1801.06366

arxiv created 2018/01/19 · openalex publication_date 2018/01/19 · arxiv updated 2018/01/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give criteria for weak and strong invariant closed sets for differential inclusions given in ℝⁿ and governed by Lipschitz Cusco perturbations of maximal monotone operators. Correspondingly, we provide different characterizations for the associated strong Lyapunov functions. The resulting conditions only depend on the data of the system.

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