Almost global stability of nonlinear switched systems with mode-dependent and edge-dependent average dwell time. (August 2021)

• Record Type: Journal Article
• Authors: Kıvılcım, Ayşegül; Karabacak, Özkan; Wisniewski, Rafael
• Is Part Of: Nonlinear analysis. Volume 41(2021)
• Publication Date: 2021-08
• Subjects: Almost global stability -- Multiple Lyapunov densities -- Average dwell time -- Mode-dependent average dwell time -- Edge-dependent average dwell time; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nahs.2021.101052
• Languages: English
• ISSNs: 1751-570X

Abstract

Abstract: It has recently been shown that almost global stability of nonlinear switched systems can be characterized using multiple Lyapunov densities. This has been accomplished for switched systems subject to a minimum dwell time or an average dwell time constraint. In this paper, as an extension of the aforementioned results, we provide a sufficient condition on mode-dependent and edge-dependent average dwell time to ensure almost global stability of a nonlinear switched system. The relations between average dwell time, mode-dependent, and edge-dependent average dwell time have been discussed. The obtained results for nonlinear switched systems imply the existing results for linear switched systems.