(Q, S, R)-dissipativity for switched non-linear delay systems. (February 2023)

• Record Type: Journal Article
• Authors: Li, Chensong; Fu, Jun; Pang, Hongbo
• Is Part Of: Nonlinear analysis. Volume 47(2023)
• Publication Date: 2023-02
• Subjects: Switched non-linear systems -- (Q, S, R)-dissipativity -- Time-varying delay -- Feedback interconnection; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nahs.2022.101296
• Languages: English
• ISSNs: 1751-570X

Abstract

Abstract: In this paper, we investigate ( Q, S, R ) -dissipativity for a class of switched non-linear systems with time-varying delay based on a state dependent switching law. Firstly, sufficient conditions for ( Q, S, R ) -dissipativity are developed by using Hurwitz convex combination approach, these conditions are provided in terms of linear matrix inequalities (LMIs). Secondly, passivity as a special form of ( Q, S, R ) -dissipativity is preserved for the feedback interconnected switched systems with time-varying delay by the merging switching signal technique. Finally, an example is provided to illustrate the effectiveness of the main results.