Robust global exponential stability of linear impulsive systems with time-varying delay and uncertainty

被引：2

作者：

Liu, Bin ^{[1
]}

Liu, Xinzhi

机构：

[1] Zhuzhou Inst Technol, Dept Informat & Comp Sci, Zhuzhou 412008, Peoples R China

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

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

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2006年 / 36卷 / 02期

关键词：

uncertainty; linear impulsive system; interval matrix; time-delay; robust global exponential stability; decay rate; M-matrix;

D O I：

10.1216/rmjm/1181069470

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper studies linear impulsive systems with varying time-delay and uncertainty. By using the method of Lyapunov functions and matrix inequalities, robust global exponential stability criteria are established in terms of fairly simple algebraic conditions. Estimate of the decay rate of the solutions of such systems are also derived. Some examples are given to illustrate the main results.

引用

页码：615 / 636

页数：22

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