Exponential synchronization for a class of complex networks of networks with directed topology and time delay

被引：11

作者：

Ahmed, Mohmmed Alsiddig Alamin ^{[1
]}

Liu, Yurong ^{[1
,2
]}

Zhang, Wenbing ^{[1
]}

Alsaedi, Ahmed ^{[3
]}

Hayat, Tasawar ^{[3
,4
]}

机构：

[1] Yangzhou Univ, Dept Math, Yangzhou 225002, Jiangsu, Peoples R China

[2] King Abdulaziz Univ, Fac Engn, Commun Syst & Networks CSN Res Grp, Jeddah 21589, Saudi Arabia

[3] King Abdulaziz Univ, Fac Sci, Dept Math, NAAM Res Grp, Jeddah 21589, Saudi Arabia

[4] Quaid I Azam Univ 45320, Dept Math, Islamabad 44000, Pakistan

来源：

NEUROCOMPUTING | 2017年 / 266卷

基金：

中国国家自然科学基金;

关键词：

Complex network; Network of networks; Exponential synchronization; Pinning control; Directed topology; Time delay; DYNAMICAL NETWORKS; PINNING CONTROL; STATE ESTIMATION; NEURAL-NETWORKS; MARKOVIAN JUMP; CONTROLLABILITY; PARAMETERS;

D O I：

10.1016/j.neucom.2017.05.039

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

The pinning synchronization problem for a class of complex networks of networks is investigated in this paper, in which the network topology is assumed to be directed. The concerned complex networks of networks are composed of both leaders' network and followers' networks (also called "subnetworks"), where the leaders' network and followers' networks are regarded as the nodes of the networks of networks, followers' networks can receive the information from leaders' network, but not the reverse. Then, by means of the Lyapunov stability theory, graph theory, Barbalat's Lemma and the Kronecker product techniques, some criteria are obtained to guarantee the globally exponential synchronization for the general complex networks of networks. In addition, theoretical results are verified through an illustrative example. (C) 2017 Elsevier B.V. All rights reserved.

引用

页码：274 / 283

页数：10

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