Stability analysis of totally positive switched linear systems with average dwell time switching

被引：36

作者：

Wang, Guosheng ^{[1
]}

Liu, Yang ^{[1
]}

Lu, Jianquan ^{[2
]}

Wang, Zhen ^{[3
]}

机构：

[1] Zhejiang Normal Univ, Coll Math & Comp Sci, Jinhua 321000, Zhejiang, Peoples R China

[2] Southeast Univ, Dept Math, Nanjing 210096, Peoples R China

[3] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Peoples R China

来源：

NONLINEAR ANALYSIS-HYBRID SYSTEMS | 2020年 / 36卷

基金：

中国国家自然科学基金;

关键词：

Totally positive switched linear system; Average dwell time; Multiple linear copositive Lyapunov function; COPOSITIVE LYAPUNOV FUNCTIONS;

D O I：

10.1016/j.nahs.2020.100877

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

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. (c) 2020 Elsevier Ltd. All rights reserved.

引用

页数：9