Lag synchronization via pinning control between two coupled networks

被引：72

作者：

Sun, Weigang ^{[1
]}

Wang, Shuai ^{[1
]}

Wang, Guanghui ^{[2
]}

Wu, Yongqing ^{[3
,4
]}

机构：

[1] Hangzhou Dianzi Univ, Inst Appl Math & Engn Computat, Hangzhou 310018, Zhejiang, Peoples R China

[2] Heilongjiang Inst Sci & Technol, Comp & Informat Engn Coll, Harbin 150022, Peoples R China

[3] Fudan Univ, Sch Comp Sci, Shanghai 200433, Peoples R China

[4] Liaoning Tech Univ, Basic Teaching Dept, Huludao 125105, Peoples R China

来源：

NONLINEAR DYNAMICS | 2015年 / 79卷 / 04期

基金：

中国博士后科学基金; 中国国家自然科学基金;

关键词：

Complex networks; Lag synchronization; Pinning control; COMPLEX DYNAMICAL NETWORKS; ADAPTIVE SYNCHRONIZATION; OUTER SYNCHRONIZATION; NONIDENTICAL NETWORKS; ANTI-SYNCHRONIZATION; SWITCHED SYSTEMS; STABILITY;

D O I：

10.1007/s11071-014-1838-7

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

In this paper, we study lag synchronization between two coupled networks via pinning control, including the linear and adaptive feedback pinning schemes. Using the Schur complement and Barbalat's lemma, we obtain two theorems for the lag synchronization between these two coupled networks with identical topologies and observe that the node dynamics and the coupling strength determine the number of pinned nodes. In addition, for the linear feedback pinning scheme, we obtain the domain of the feedback gains. Finally, we provide two numerical examples to show the effectiveness of the proposed pinning schemes and compare the efficiency of the high-degree, low-degree and random chosen pinning schemes.

引用

页码：2659 / 2666

页数：8

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