Lag synchronization analysis of general complex networks with multiple time-varying delays via pinning control strategy

被引：9

作者：

Wang, Xin ^{[1
]}

She, Kun ^{[1
]}

Zhong, Shouming ^{[2
]}

Yang, Huilan ^{[2
]}

机构：

[1] Univ Elect Sci & Technol China, Sch Informat & Software Engn, Chengdu 610054, Sichuan, Peoples R China

[2] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Sichuan, Peoples R China

来源：

NEURAL COMPUTING & APPLICATIONS | 2019年 / 31卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Adaptive lag synchronization; Complex networks; Pinning control; Multiple time-varying delays; DYNAMICAL NETWORKS; NEURAL-NETWORKS; SYSTEMS; TOPOLOGY;

D O I：

10.1007/s00521-017-2978-8

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 focuses on the lag synchronization issue for a kind of general complex networks with multiple time-varying delays via the pinning control strategy. By applying the Lyaponov functional theory and mathematical analysis techniques, sufficient verifiable criteria that depend on both intrinsic time-varying delay and coupled time-varying delay are obtained to achieve lag synchronization of the networks. Moreover, the coupling configuration matrices are not required to be symmetric or irreducible, and the minimum number of pinned nodes is determined by node dynamics, coupling matrices, and the designed parameter matrices. Finally, a numerical example is given to illustrate the feasibility of the theoretical results.

引用

页码：43 / 53

页数：11

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