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.

引用

页码：22 / 27

页数：6

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