Recent progress in impulsive control systems

被引：67

作者：

Yang, Xueyan ^{[1
]}

Peng, Dongxue ^{[1
]}

Lv, Xiaoxiao ^{[2
]}

Li, Xiaodi ^{[1
,3
]}

机构：

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

[2] Southeast Univ, Sch Math, Nanjing 210096, Jiangsu, Peoples R China

[3] Shandong Normal Univ, Ctr Control & Engn Computat, Jinan 250014, Shandong, Peoples R China

来源：

MATHEMATICS AND COMPUTERS IN SIMULATION | 2019年 / 155卷

基金：

中国国家自然科学基金;

关键词：

Impulsive control systems (ICSs); Delayed impulses; Input-to-state stability (ISS); Stability; Finite-time control; TO-STATE STABILITY; FINITE-TIME STABILITY; DELAYED NEURAL-NETWORKS; FUNCTIONAL-DIFFERENTIAL EQUATIONS; GLOBAL EXPONENTIAL STABILITY; LAG SYNCHRONIZATION; PERIODIC-SOLUTIONS; VARYING DELAY; DISCRETE; STABILIZATION;

D O I：

10.1016/j.matcom.2018.05.003

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

This paper overviews the research investigations pertaining to impulsive control systems (ICSs). We focus on the fundamental results and recent progress of ICSs. After reviewing the relative literature, this paper will provide a comprehensive and intuitive overview of ICSs. Six aspects of ICSs are surveyed including basic theory, Lyapunov stability, delayed ICSs, input-to-state stability (ISS), finite-time control, and state-dependent impulses. Based on this, the paper provides a reference for further research on ICSs. (C) 2018 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved.

引用

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页码：244 / 268

页数：25

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