Stability of mode-dependent linear switched singular systems with stable and unstable subsystems

被引：26

作者：

Wei, Jumei ^{[1
]}

Zhi, Huimin ^{[1
]}

Liu, Kai ^{[2
]}

Mu, Xiaowu ^{[1
]}

机构：

[1] Zhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Henan, Peoples R China

[2] Henan Inst Engn, Coll Sci, Zhengzhou 451191, Henan, Peoples R China

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2019年 / 356卷 / 05期

基金：

中国国家自然科学基金;

关键词：

NONLINEAR-SYSTEMS; STABILIZATION; EQUATIONS; DELAY;

D O I：

10.1016/j.jfranklin.2019.02.014

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 studies the E-exponential stability of mode-dependent linear switched singular systems with stable and unstable subsystems. First, by constructing an appropriate multiple discontinuous Lyapunov function, new sufficient conditions of E-exponential stability for linear switched singular systems are established. Considering the feature of mode-dependent average dwell time switching, we adopt the switching strategy where fast switching and slowing switching are respectively applied to unstable and stable subsystems. Compared with the existing results, our approach is more flexible and tighter bounds can be obtained. Finally, a numerical example is provided to illustrate the effectiveness of the proposed criteria. (C) 2019 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

引用

页码：3102 / 3114

页数：13

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