Synchronization of fractional-order linear complex networks with directed coupling topology

被引：15

作者：

Fang, Qingxiang ^{[1
,2
]}

Peng, Jigen ^{[1
]}

机构：

[1] Xi An Jiao Tong Univ, Dept Appl Math, Xian 710049, Shaanxi, Peoples R China

[2] China Jiliang Univ, Coll Sci, Hangzhou 310018, Zhejiang, Peoples R China

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2018年 / 490卷

关键词：

Fractional-order derivative; Complex networks; Synchronization; Real Jordan canonical form; Linear matrix inequality; VALUED NEURAL-NETWORKS; STABILITY ANALYSIS; SYSTEMS; DYNAMICS; CHAOS; DELAY; APPROXIMATION; BIFURCATION; TRANSIENTS; CALCULUS;

D O I：

10.1016/j.physa.2017.08.050

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The synchronization of fractional-order complex networks with general linear dynamics under directed connected topology is investigated. The synchronization problem is converted to an equivalent simultaneous stability problem of corresponding independent subsystems by use of a pseudo-state transformation technique and real Jordan canonical form of matrix. Sufficient conditions in terms of linear matrix inequalities for synchronization are established according to stability theory of fractional-order differential equations. In a certain range of fractional order, the effects of the fractional order on synchronization is clearly revealed. Conclusions obtained in this paper generalize the existing results. Three numerical examples are provided to illustrate the validity of proposed conclusions. (C) 2017 Elsevier B.V. All rights reserved.

引用

页码：542 / 553

页数：12