Stability analysis of positive switched systems via joint linear copositive Lyapunov functions. (February 2016)

• Record Type: Journal Article
• Authors: Sun, Yuangong
• Is Part Of: Nonlinear analysis. Volume 19(2016)
• Page Start: 146
• Page End: 152
• Publication Date: 2016-02
• Subjects: Positive switched system -- Stability -- Joint linear copositive Lyapunov function -- Time delay; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nahs.2015.09.001
• Languages: English
• ISSNs: 1751-570X

Abstract

Abstract: In this paper, we study the asymptotic stability of continuous-time positive switched linear systems for the case when each subsystem is only stable. By using the so-called "joint linear copositive Lyapunov function" (JLCLF) generalizing the common linear copositive Lyapunov function, we show that the system remains asymptotically stable under appropriate switching if it has a JLCLF. Then, the main result is extended to positive switched linear systems with time delay.