Global μ-synchronization for nonlinear complex networks with unbounded multiple time delays and uncertainties via impulsive control

被引：13
作者：
Fan, Hongguang [1 ,2 ]
Shi, Kaibo [3 ]
Zhao, Yi [4 ]
机构：
[1] Chengdu Univ, Coll Comp, Chengdu 610106, Peoples R China
[2] Chengdu Univ, Inst Higher Educ Sichuan Prov, Key Lab Pattern Recognit & Intelligent Informat P, Chengdu 610106, Peoples R China
[3] Chengdu Univ, Sch Elect Informat & Elect Engn, Chengdu 610106, Peoples R China
[4] Shenzhen Univ, Coll Math & Stat, Shenzhen 518060, Peoples R China
来源：
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2022年 / 599卷
基金：
中国国家自然科学基金;
关键词：
Complex network; mu-synchronization; Impulsive control; Parametric uncertainty; Delay; VALUED NEURAL-NETWORKS; EXPONENTIAL STABILITY; SYSTEMS;
D O I：
10.1016/j.physa.2022.127484
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The global mu-synchronization problem of nonlinear drive-response complex networks with uncertainties is investigated in this paper. Unbounded multiple time delays, such as internal delays, coupling delays, and sampling delays in impulse instants are considered in our complex network model. The difficulties caused by these multiple time delays are overcome by introducing a generalized impulsive delayed comparison principle. A delayed impulsive controller is designed, and some novel synchronization criteria are derived in order to make drive-response complex networks achieve mu-synchronization. Compared with the existing related works, there is no restriction about impulse intervals and delays, as well as, the external coupling matrix is no longer needed to satisfy the dissipative coupling condition. Finally, two numerical simulations are shown to present the correctness of our theoretical results. (C) 2022 Elsevier B.V. All rights reserved.
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页数：14
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