Effect of delayed impulses on input-to-state stability of nonlinear systems

被引：169
作者：
Li, Xiaodi [1 ,2 ]
Zhang, Xiaoli [1 ,2 ]
Song, Shiji [3 ]
机构：
[1] Shandong Normal Univ, Sch Math Sci, Jinan 250014, Peoples R China
[2] Shandong Normal Univ, Inst Data Sci & Technol, Jinan 250014, Peoples R China
[3] Tsinghua Univ, Dept Automat, Beijing 100084, Peoples R China
来源：
AUTOMATICA | 2017年 / 76卷
基金：
中国国家自然科学基金;
关键词：
Nonlinear systems; Delayed impulses; Lyapunov methods; Input-to-state stability; Integral input-to-state stability; EXPONENTIAL STABILITY; ISS; THEOREMS; IISS;
D O I：
10.1016/j.automatica.2016.08.009
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper studies the input-to-state stability (ISS) and integral input-to-state stability (iISS) of nonlinear systems with delayed impulses. By using Lyapunov method and the analysis technique proposed by Hespanha et al. (2005), some sufficient conditions ensuring ISS/iISS of the addressed systems are obtained. Those conditions establish the relationship between impulsive frequency and the time delay existing in impulses, and reveal the effect of delayed impulses on ISS/iISS. An example is provided to illustrate the efficiency of the obtained results. (C) 2016 Elsevier Ltd. All rights reserved.
引用
收藏
页码：378 / 382
页数：5
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