Stochastic quasi-synchronization of heterogeneous delayed impulsive dynamical networks via single impulsive control

被引：19
作者：
Ling, Guang [1 ]
Ge, Ming-Feng [2 ]
Liu, Xinghua [3 ]
Xiao, Gaoxi [4 ]
Fan, Qingju [1 ]
机构：
[1] Wuhan Univ Technol, Sch Sci, Wuhan 430070, Peoples R China
[2] China Univ Geosci, Sch Mech Engn & Elect Informat, Wuhan 430074, Peoples R China
[3] Xian Univ Technol, Sch Elect Engn, Xian 710048, Peoples R China
[4] Nanyang Technol Univ, Sch Elect & Elect Engn, Singapore 639798, Singapore
来源：
NEURAL NETWORKS | 2021年 / 139卷
基金：
中国国家自然科学基金; 新加坡国家研究基金会;
关键词：
Stochastic quasi-synchronization; Heterogeneous dynamical networks; Impulsive coupling; Time-varying delays; Single impulsive control; GENETIC REGULATORY NETWORKS; MEMRISTIVE NEURAL-NETWORKS; TIME-VARYING DELAYS; EXPONENTIAL SYNCHRONIZATION; BIFURCATION-ANALYSIS; STABILITY; SYSTEMS;
D O I：
10.1016/j.neunet.2021.03.011
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
This paper investigates the quasi-synchronization problem of the stochastic heterogeneous complex dynamical networks with impulsive couplings and multiple time-varying delays. It is shown that this kind of dynamical networks can achieve exponential quasi-synchronization by exerting impulsive control added on only one chosen pinning node. By employing the Lyapunov stability theory, some sufficient criteria on quasi-synchronization for this dynamical network are established, revealing the relationship between the quasi-synchronization performance and the stochastic perturbations as well as the frequency and strength of impulsive coupling. Finally, some numerical examples are used to illustrate the effectiveness of the main results. (C) 2021 Elsevier Ltd. All rights reserved.
引用
收藏
页码：223 / 236
页数：14
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