Delay-dependent cluster synchronization of time-varying complex dynamical networks with noise via delayed pinning impulsive control

被引：29

作者：

Ling, Guang ^{[1
]}

Liu, Xinzhi ^{[2
]}

Ge, Ming-Feng ^{[3
]}

Wu, Yonghong ^{[1
]}

机构：

[1] Wuhan Univ Technol, Sch Sci, Wuhan 430070, Peoples R China

[2] Univ Waterloo, Dept Appl Math, Waterloo, ON N2L 3G1, Canada

[3] China Univ Geosci, Sch Mech Engn & Elect Informat, Wuhan 430074, Peoples R China

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2021年 / 358卷 / 06期

基金：

加拿大自然科学与工程研究理事会; 中国国家自然科学基金;

关键词：

GENETIC REGULATORY NETWORKS; EXPONENTIAL SYNCHRONIZATION; OUTER-SYNCHRONIZATION; BIFURCATION-ANALYSIS; DIRECTED NETWORKS; NEURAL-NETWORKS; STABILITY; SYSTEMS; JUMP;

D O I：

10.1016/j.jfranklin.2021.02.004

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 investigates the problem of cluster synchronization of complex dynamical networks with noise and time-varying delays by using a delayed pinning impulsive control scheme. Different from the traditional impulsive control schemes without the effects of input delays, it designs a pinning impulsive control scheme to successfully address the aforementioned problem subject to impulsive input delays. By employing a time-dependent Lyapunov function and the mathematical induction, some novel criteria are established to guarantee the cluster synchronization of the noisy complex networks, revealing the closed relationship between the synchronization performance and the related factors, including the impulsive input delays, the number of the pinned nodes, the frequency and strength of the impulsive control, and the noisy perturbations. Some numerical examples and computer simulations are presented to illustrate the effectiveness of the theoretical results. ? 2021 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

引用

页码：3193 / 3214

页数：22

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