2012/10/26 by Philippe Jouan, Jouan, Philippe, Saïd Naciri +2
Computer Science · Engineering · Mathematics · #FOS: Mathematics #Neural Networks Stability and Synchronization #Optimization and Control (math.OC) #Stability and Control of Uncertain Systems #Stability and Controllability of Differential Equations #math.OC
paper · pdf · doi:10.48550/arxiv.1210.7139
arxiv created 2012/10/26 · openalex publication_date 2012/10/26 · arxiv updated 2012/10/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study the asymptotic stability properties of nonlinear switched systems under the assumption of the existence of a common weak Lyapunov function. We consider the class of nonchaotic inputs, which generalize the different notions of inputs with dwell-time, and the class of general ones. For each of them we provide some sufficient conditions for asymptotic stability in terms of the geometry of certain sets. The results, which extend those of Balde, Jouan about linear systems, are illustrated by many examples.