Analysis and Design of Adaptive Synchronization of a Complex Dynamical Network with Time-Delayed Nodes and Coupling Delays

被引：4

作者：

Yu Miao ^{[1
,2
]}

He Liang ^{[1
,2
]}

Zhao Haiyun ^{[1
,2
]}

Chen Zhigang ^{[1
,2
]}

Yi Junyan ^{[3
]}

机构：

[1] Beijing Univ Civil Engn & Architecture, Sch Mech Elect & Automobile Engn, Beijing 100044, Peoples R China

[2] Beijing Univ Civil Engn & Architecture, Beijing Key Lab Serv Performance Urban Rail Trans, Beijing 100044, Peoples R China

[3] Beijing Univ Civil Engn & Architecture, Sch Elect & Informat Engn, Beijing 100044, Peoples R China

来源：

MATHEMATICAL PROBLEMS IN ENGINEERING | 2017年 / 2017卷

基金：

中国国家自然科学基金;

关键词：

FLOW;

D O I：

10.1155/2017/8965124

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This paper is devoted to the study of synchronization problems in uncertain dynamical networks with time-delayed nodes and coupling delays. First, a complex dynamical network model with time-delayed nodes and coupling delays is given. Second, for a complex dynamical network with known or unknown but bounded nonlinear couplings, an adaptive controller is designed, which can ensure that the state of a dynamical network asymptotically synchronizes at the individual node state locally or globally in an arbitrary specified network. Then, the Lyapunov-Krasovskii stability theory is employed to estimate the network coupling parameters. The main results provide sufficient conditions for synchronization under local or global circumstances, respectively. Finally, two typical examples are given, using the M-G system as the nodes of the ring dynamical network and second-order nodes in the dynamical network with time-varying communication delays and switching communication topologies, which illustrate the effectiveness of the proposed controller design methods.

引用

页数：11