Exponential stabilization of switched time-varying systems with delays and disturbances

被引：54

作者：

Li, Yanan ^{[1
]}

Sun, Yuangong ^{[1
,2
]}

Meng, Fanwei ^{[3
]}

Tian, Yazhou ^{[1
]}

机构：

[1] Univ Jinan, Sch Math Sci, Jinan 250022, Shandong, Peoples R China

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

[3] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2018年 / 324卷

基金：

中国国家自然科学基金;

关键词：

Exponential stabilization; Switched time-varying system; Time-varying delay; Nonlinear disturbance; Average dwell time; INTERVAL OSCILLATION CRITERIA; HOMOGENEOUS POSITIVE SYSTEMS; LINEAR-SYSTEMS; NONLINEAR-SYSTEMS; DIFFERENTIAL-EQUATIONS; LYAPUNOV FUNCTIONS; STABILITY; STABILIZABILITY;

D O I：

10.1016/j.amc.2017.12.011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with exponential stabilization for a class of switched time-varying systems. By taking time-varying delays and nonlinear disturbances into consideration, time dependent switching signals have been characterized in terms of Metzler matrices such that the resulting system is globally exponentially stable. Compared with preceding works, we introduce a model transformation and an approach without involving the LyapunovKrasovskii functional to derive new exponential stability criteria for switched time-varying systems under the average dwell time switching. Numerical examples show that the obtained theoretical results can be applied to some cases not covered by some existing results. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：131 / 140

页数：10

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