Further results on exponential stability of switched systems

被引：3

作者：

Li, Yaping ^{[1
]}

Liu, Xingwen ^{[2
]}

Shao, Shiquan ^{[2
]}

Yang, Jun ^{[2
]}

Wang, Jun ^{[2
]}

机构：

[1] Southwest Minzu Univ, Coll Elect Engn, Key Lab Elect Informat State Ethn Affairs Commiss, Chengdu 610225, Sichuan, Peoples R China

[2] Southwest Minzu Univ, Coll Elect Engn, Lab Complex Syst & Intelligent Control, Chengdu 610225, Sichuan, Peoples R China

来源：

COMPUTATIONAL & APPLIED MATHEMATICS | 2023年 / 42卷 / 01期

关键词：

Discontinuous Lyapunov function; Exponential stability; Homogeneous polynomial Lyapunov functions; Mode-dependent average dwell time; Switched systems; LINEAR-SYSTEMS; STABILIZATION;

D O I：

10.1007/s40314-022-02181-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Addressed in this paper is the stability issue of continuous-time switched linear systems consisting of both stable and unstable subsystems under switching signals satisfying the constraint of mode-dependent average dwell time. A multiple discontinuous homogeneous polynomial Lyapunov function (MDHPLF) method is proposed, which results in, compared with existing works, less conservative sufficient conditions guaranteeing exponential stability of systems under consideration. It is proven that the conservatism of stability condition reduces as the degree of MDHPLF increases. In addition, all main results can be applied to scenarios where all subsystems are stable or unstable.

引用

页数：18

共 27 条

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Bernstein D. S., 2009, Matrix Mathematics: Theory, Facts, and Formulas

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