Exponential stability of totally positive switched linear systems with both stable and unstable subsystems

被引：6

作者：

Pan, Shiyao ^{[1
]}

Shao, Yuanfu ^{[2
]}

机构：

[1] Wenzhou Univ Technol, Sch Data Sci & Artificial Intelligence, Wenzhou 325035, Zhejiang, Peoples R China

[2] Guilin Univ Technol, Coll Sci, Guilin, Guangxi, Peoples R China

来源：

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL | 2022年 / 32卷 / 14期

基金：

中国国家自然科学基金;

关键词：

exponential stability; mode-dependent average dwell time; multiple piecewise-continuous linear copositive Lyapunov function; totally positive switched linear systems;

D O I：

10.1002/rnc.6265

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 article discusses the exponential stability of totally positive switched linear systems (TPSLSs) for continuous-time and discrete-time cases. By employing the multiple piecewise-continuous linear copositive Lyapunov function (MPLCLF) and mode-dependent average dwell time (MDADT) methods, TPSLSs containing both stable and unstable subsystems are firstly considered and two kinds of switching strategies are proposed, which reduce the conservativeness greatly and provide a more relaxed constraints on parameters compared with the previous results. Finally, two examples are given to illustrate the effectiveness of our results.

引用

页码：8073 / 8085

页数：13

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