Impulsive strategies in nonlinear dynamical systems: A brief overview

被引：0
|
作者：
Zhu, Haitao [1 ]
Ji, Xinrui [1 ,2 ]
Lu, Jianquan [1 ]
机构：
[1] Southeast Univ, Sch Math, Dept Syst Sci, Nanjing 210096, Peoples R China
[2] Tongji Univ, Inst Complex Networks & Intelligent Syst, Shanghai Res Inst Intelligent Autonomous Syst, Shanghai 201210, Peoples R China
来源：
MATHEMATICAL BIOSCIENCES AND ENGINEERING | 2023年 / 20卷 / 02期
基金：
中国国家自然科学基金;
关键词：
impulsive dynamical systems; time delay; event-triggered impulsive control; hybrid impulses; impulsive dynamical networks; stability analysis; TO-STATE STABILITY; TIME-DELAY SYSTEMS; NEURAL-NETWORKS; EXPONENTIAL STABILITY; DIFFERENTIAL-SYSTEMS; ASYMPTOTIC STABILITY; LYAPUNOV CONDITIONS; CHAOTIC SYSTEMS; SYNCHRONIZATION; STABILIZATION;
D O I：
10.3934/mbe.2023200
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
The studies of impulsive dynamical systems have been thoroughly explored, and exten-sive publications have been made available. This study is mainly in the framework of continuous-time systems and aims to give an exhaustive review of several main kinds of impulsive strategies with different structures. Particularly, (i) two kinds of impulse-delay structures are discussed respectively according to the different parts where the time delay exists, and some potential effects of time delay in stability analysis are emphasized. (ii) The event-based impulsive control strategies are systemati-cally introduced in the light of several novel event-triggered mechanisms determining the impulsive time sequences. (iii) The hybrid effects of impulses are emphatically stressed for nonlinear dynamical systems, and the constraint relationships between different impulses are revealed. (iv) The recent appli-cations of impulses in the synchronization problem of dynamical networks are investigated. Based on the above several points, we make a detailed introduction for impulsive dynamical systems, and some significant stability results have been presented. Finally, several challenges are suggested for future works.
引用
收藏
页码：4274 / 4321
页数：48
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