Delay-independent criteria for exponential admissibility of switched descriptor delayed systems

被引：15

作者：

Ding, Xiuyong ^{[1
]}

Liu, Xiu ^{[1
]}

Zhong, Shouming ^{[2
]}

机构：

[1] Southwest Jiaotong Univ, Sch Math, Chengdu 610031, Sichuan, Peoples R China

[2] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Sichuan, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 228卷

基金：

中国国家自然科学基金;

关键词：

Switched descriptor systems; Regular-impulsive-free; Switching-impulsiveness-free; Minimum dwell time; Exponential admissibility; SINGULAR SYSTEMS; H-INFINITY; LYAPUNOV FUNCTIONS; STABILITY ANALYSIS; TIME; STABILIZATION;

D O I：

10.1016/j.amc.2013.11.107

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the uniform exponential admissibility problem for switched descriptor systems with time-varying delays. A criterion for regularity-impulsiveness-free of each subsystem is presented. A solution to switching-impulsiveness-free for switched descriptor systems is provided. A novel type of piecewise Lyapunov functionals is introduced. This type of Lyapunov functionals can efficiently overcome the switching jump of adjacent Lyapunov functionals at switching times. By applying this type of Lyapunov functionals and algebraic manipulations, the delay-independent conditions for uniform exponential admissibility is established on the minimum dwell time. (c) 2013 Elsevier Inc. All rights reserved.

引用

页码：432 / 445

页数：14

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