Exponential stability analysis for a class of switched nonlinear time-varying functional differential systems. (May 2022)

• Record Type: Journal Article
• Authors: Nguyen Khoa, Son; Le, Van Ngoc
• Is Part Of: Nonlinear analysis. Volume 44(2022)
• Publication Date: 2022-05
• Subjects: Exponential stability -- Switched systems -- Functional differential equations -- Positive systems -- Average dwell time -- Sector nonlinearities; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nahs.2022.101177
• Languages: English
• ISSNs: 1751-570X

Abstract

Abstract: This paper proposes a unified approach for studying global exponential stability of a general class of switched systems described by time-varying nonlinear functional differential equations. Some new delay-independent criteria of global exponential stability are established for this class of systems under arbitrary switching which satisfies some assumptions on the average dwell time. The obtained criteria are shown to cover and improve many previously known results, including, in particular, sufficient conditions for absolute exponential stability of switched time-delay systems with sector nonlinearities. Some simple examples are given to illustrate the proposed method.