Adaptive pinning synchronization in fractional-order complex dynamical networks

被引：62

作者：

Chai, Yi ^{[1
,2
]}

Chen, Liping ^{[1
,2
]}

Wu, Ranchao ^{[3
]}

Sun, Jian ^{[2
]}

机构：

[1] Chongqing Univ, State Key Lab Power Transmiss Equipment & Syst Se, Chongqing 400044, Peoples R China

[2] Chongqing Univ, Sch Automat, Chongqing 400044, Peoples R China

[3] Anhui Univ, Sch Math, Hefei 230039, Peoples R China

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2012年 / 391卷 / 22期

基金：

中国国家自然科学基金; 高等学校博士学科点专项科研基金;

关键词：

Complex dynamical networks; Fractional-order; Adaptive synchronization; Pinning control; PROJECTIVE SYNCHRONIZATION;

D O I：

10.1016/j.physa.2012.06.050

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Synchronization of general complex dynamical networks with fractional-order dynamical nodes is addressed in this paper. Based on the stability theory of fractional-order differential systems and adaptive pinning control, some sufficient local asymptotical synchronization criteria and global asymptotical ones are derived respectively, which succeed in solving the problem about how many nodes are need to be controlled and how much coupling strength should be applied to ensure the synchronization of the entire fractional-order networks. The obtained results are more general and effective than those reported. Moreover, the coupling-configuration matrices and the inner-coupling matrices are not assumed to be symmetric and irreducible. Finally, a numerical simulation is presented to demonstrate the validity and feasibility of the proposed synchronization criteria. (C) 2012 Elsevier B.V. All rights reserved.

引用

页码：5746 / 5758

页数：13

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