Stability analysis of totally positive switched linear systems with average dwell time switching. (May 2020)

• Record Type: Journal Article
• Authors: Wang, Guosheng; Liu, Yang; Lu, Jianquan; Wang, Zhen
• Is Part Of: Nonlinear analysis. Volume 36(2020)
• Publication Date: 2020-05
• Subjects: Totally positive switched linear system -- Average dwell time -- Multiple linear copositive Lyapunov function; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nahs.2020.100877
• Languages: English
• ISSNs: 1751-570X

Abstract

Abstract: This paper investigates the stability of totally positive switched linear systems (TPSLSs), for the continuous-time case and the discrete-time case. The multiple linear copositive Lyapunov function (MLCLF) is used to study exponential stability of the considered system with average dwell time. Then the case with common linear copositive Lyapunov function (CLCLF) is also established. Sufficient conditions to ensure the stability are given. Finally, numerical examples are presented to validate the efficiency of the derived results.