Stability and robustness of quasi-linear impulsive hybrid systems

被引：48

作者：

Liu, B

Liu, XZ ^{[1
]}

Liao, XX

机构：

[1] Huazhong Univ Sci & Technol, Dept Control Sci & Engn, Wuhan 430074, Peoples R China

[2] Univ Waterloo, Dept Appl Math, Waterloo, ON N2L 3G1, Canada

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2003年 / 283卷 / 02期

基金：

加拿大自然科学与工程研究理事会; 中国国家自然科学基金;

关键词：

hybrid dynamical system; impulsive dynamical system; impulsive hybrid system; stability; robust stability;

D O I：

10.1016/S0022-247X(03)00253-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Both hybrid dynamical systems and impulsive dynamical systems are studied extensively in the literature. However, impulsive hybrid systems are not yet well studied. Nonetheless, many physical systems exhibit both system switching and impulsive jump phenomena. This paper investigates stability and robust stability of a class of quasi-linear impulsive hybrid systems by using the methods of Lyapunov functions and Riccati inequalities. Sufficient conditions for stability and robust stability of those systems are established. Some examples are given to illustrate the applicability of our results. (C) 2003 Elsevier Inc. All rights reserved.

引用

页码：416 / 430

页数：15

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