Exponential Stability of Impulsive Differential Systems with Variable Delays

被引：0
|
作者：
Wang, Huamin [1 ,2 ]
Duan, Shukai [1 ]
Huang, Tingwen [3 ]
Wang, Lidan [1 ]
机构：
[1] Southwest Univ, Coll Elect & Informat Engn, Chongqing 400715, Peoples R China
[2] Luoyang Normal Univ, Dept Math, Luoyang 471022, Henan, Peoples R China
[3] Texas A&M Univ, Dept Elect & Comp Engn, POB 23874, Doha, Qatar
来源：
PROCEEDINGS OF THE 2016 12TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION (WCICA) | 2016年
关键词：
STABILIZATION;
D O I：
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中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, the stability of a class of impulsive control differential systems with variable delays is considered by using the method of mathematic induction, Lyapunov functions and Razumikhn-type techniques. Several criteria of uniform stability and global exponential stability are derived for linear and nonlinear differential systems, respectively. It is shown that the novelty stability conditions are the generalizations of some published results. Two numerical examples and their simulations are given to illustrate the effectiveness of the theoretical results.
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页码：1675 / 1680
页数：6
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