Improved Stability Conditions for Switched Positive Linear Time-Varying Systems

被引：16
作者：
Chen, Guopei [1 ]
Yang, Ying [1 ]
Li, Junmin [2 ]
机构：
[1] Huizhou Univ, Coll Math & Big Data Sci, Huizhou 516007, Peoples R China
[2] Xidian Univ, Sch Math & Stat, Xian 710071, Shaanxi, Peoples R China
来源：
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS | 2019年 / 66卷 / 11期
关键词：
Switches; Asymptotic stability; Time-varying systems; Lyapunov methods; Circuit stability; Numerical stability; Stability analysis; switched positive linear time-varying systems; time-varying copositive Lyapunov functions; function-dependent average dwell time; COPOSITIVE LYAPUNOV FUNCTIONS; STABILIZATION;
D O I：
10.1109/TCSII.2018.2889515
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
This note considers the problem of asymptotic stability for switched positive linear time-varying (LTV) systems. Some improved stability conditions are given for the positive LTV systems and switched positive LTV systems by using time-varying copositive Lyapunov functions (CLFs) and switched time-varying CLF, respectively. Comparing with the existing results, the conditions obtained allow the time derivative of Lyapunov functions of subsystems (or systems) to be indefinite, and all subsystems to be unstable. Furthermore, using function-dependent dwell time methods, two improved stability conditions are also proposed for switched positive LTV systems. The conditions obtained allow the average dwell time of systems to have greater range than that of the existing results. Finally, a numerical example is given to illustrate the theoretical results.
引用
收藏
页码：1830 / 1834
页数：5
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