INPUT-TO-STATE STABILITY OF IMPULSIVE SYSTEMS WITH HYBRID DELAYED IMPULSE EFFECTS

被引：6

作者：

Zhu, Haitao ^{[1
]}

Li, Peng ^{[1
]}

Li, Xiaodi ^{[1
,2
]}

机构：

[1] Shandong Normal Univ, Sch Math & Stat, Jinan 250014, Shandong, Peoples R China

[2] Shandong Normal Univ, Sch Phys & Elect, Shandong Prov Key Lab Med Phys & Image Proc Techn, Jinan 250014, Shandong, Peoples R China

来源：

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2019年 / 9卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Impulsive systems; hybrid delayed impulses; input-to-state stability (ISS); integral input-to-state stability (iISS); Lyapunov method; TIME SWITCHED SYSTEMS; MULTIAGENT SYSTEMS; EXPONENTIAL STABILITY; NEURAL-NETWORKS; VARYING DELAYS; STABILIZATION; CONSENSUS;

D O I：

10.11948/2156-907X.20180182

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The goal of this paper is to study properties of input-to-state stability (ISS) and integral input-to-state stability (iISS) of impulsive systems with hybrid delayed impulses, and a set of Lyapunov-based sufficient conditions ensuring ISS/iISS properties are obtained. Those conditions reveal the effects of hybrid delayed impulses on ISS/iISS and establish the relationship between impulsive frequency and the time delay existing in hybrid impulses. When the continuous dynamics of the system are stabilizing, the ISS property can be retained under the impulse scheme even if there exist destabilizing impulses. Conversely, when the impulse dynamics are stabilizing, but the continuous dynamics are not, the ISS property can be obtained if the interval between impulses are not overly long. Two illustrative examples are presented, with their numerical simulations, to demonstrate the effectiveness of the main results.

引用

页码：777 / 795

页数：19

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