Razumikhin-type theorems for time-delay systems with Persistent impulses

被引：48
|
作者：
Li, Xiaodi [1 ,2 ]
Ding, Yanhui [3 ]
机构：
[1] Shandong Normal Univ, Sch Math & Stat, Jinan 250014, Shandong, Peoples R China
[2] Shandong Normal Univ, Inst Data Sci & Technol, Jinan 250014, Shandong, Peoples R China
[3] Shandong Normal Univ, Sch Informat Sci & Engn, Jinan 250014, Shandong, Peoples R China
来源：
SYSTEMS & CONTROL LETTERS | 2017年 / 107卷
基金：
中国国家自然科学基金;
关键词：
Time-delay systems; Persistent impulse; Unbounded time-varying delays; Stability; Lyapunov-Razumikhin method; TO-STATE STABILITY; FUNCTIONAL-DIFFERENTIAL EQUATIONS; GLOBAL EXPONENTIAL STABILITY; NEURAL-NETWORKS;
D O I：
10.1016/j.sysconle.2017.06.007
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The main results of the paper are generalizations of the Razumikhin classical theorems for stability analysis of impulsive time-delay systems. By employing Lyapunov-Razumikhin method and impulsive control theory, several Razumikhin-type theorems for uniform stability and global exponential stability are obtained. The significance and novelty of the results lie in that the criteria for stability of impulsive time-delay systems admit the existence of persistent impulses and unbounded time-varying delays. Two examples are provided to show the effectiveness of the proposed results. (C) 2017 Elsevier B.V. All rights reserved.
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页码：22 / 27
页数：6
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