Anti-synchronization Between Two Coupled Networks with Unknown Parameters Using Adaptive and Pinning Controls

被引：1

作者：

Sun, Tian-Tian ^{[1
]}

Li, Shi-Xing ^{[2
]}

Sun, Wei-Gang ^{[1
]}

机构：

[1] Hangzhou Dianzi Univ, Sch Sci, Hangzhou 310018, Zhejiang, Peoples R China

[2] Zhejiang Univ Finance & Econ, Sch Math & Stat, Hangzhou 310018, Zhejiang, Peoples R China

来源：

COMMUNICATIONS IN THEORETICAL PHYSICS | 2017年 / 68卷 / 06期

基金：

中国国家自然科学基金;

关键词：

anti-synchronization; adaptive; pinning; COMPLEX NETWORKS; DYNAMICS; SYSTEMS;

D O I：

10.1088/0253-6102/68/6/749

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we study anti-synchronization between two coupled networks where the node dynamics has an unknown system parameter. By designing adaptive and pinning control schemes, we realize the anti-synchronization. By Lyapunov stability theory, we obtain two theorems on the appearance of anti-synchronization. In addition, we derive a criterion for the pinning number of nodes. Finally we provide two numerical examples to show the effectiveness of our proposed control schemes. When the anti-synchronization is achieved, we successfully identify the unknown system parameter.

引用

页码：749 / 754

页数：6

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