Stability analysis of switching systems with all modes unstable based on a 0-dependent max-minimum dwell time method

被引：1

作者：

Yu, Qiang ^{[1
]}

Feng, Yuanyang ^{[1
]}

机构：

[1] Shanxi Normal Univ, Sch Math & Comp Sci, Taiyuan 030032, Peoples R China

来源：

AIMS MATHEMATICS | 2024年 / 9卷 / 02期

关键词：

switching systems; stable and unstable subsystems; 0-dependent max-minimum dwell time; Lyapunov function; globally exponentially stable; STABILIZATION; SUBSYSTEMS;

D O I：

10.3934/math.2024236

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper applies stable and unstable switching instants to study switching systems with unstable modes under time-dependent switching signals. A new Lyapunov function is proposed to study the properties of switching instant using different 0-dependent max-minimum dwell time methods. After that, the global exponential stability conditions for nonlinear and linear switching systems are derived and stable switching is used to compensate for unstable switching and unstable modes. The relevant results are extended to the controller design of linear switching systems. Finally, a simulation verifies the effectiveness of the results of this paper.

引用

页码：4863 / 4881

页数：19

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