Cluster synchronisation of non-linearly coupled Lur'e networks with identical and non-identical nodes and an asymmetrical coupling matrix

被引：47
|
作者：
Feng, Jianwen [1 ]
Tang, Ze [1 ]
Zhao, Yi [1 ]
Xu, Chen [1 ]
机构：
[1] Shenzhen Univ, Coll Math & Computat Sci, Shenzhen 518060, Peoples R China
来源：
IET CONTROL THEORY AND APPLICATIONS | 2013年 / 7卷 / 18期
关键词：
complex networks; feedback; linear matrix inequalities; Lyapunov methods; nonlinear control systems; synchronisation; nonlinearly coupled LuraEuroe networks; identical nodes; nonidentical nodes; asymmetrical coupling matrix; cluster synchronisation problem; dynamical system; nonlinear negative feedback control schemes; linear negative feedback control schemes; Lyapunov stability theorem; linear matrix inequality; sufficient conditions; cluster synchronisation pattern realisation; numerical simulation; COMPLEX NETWORKS;
D O I：
10.1049/iet-cta.2013.0233
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this study, the cluster synchronisation problem of Lur'e networks is focused with non-linear coupling. There are both identical and non-identical nodes in the dynamical system and the coupling matrix is asymmetrical. By using the linear and non-linear negative feedback control schemes, the Lyapunov stability theorem and linear matrix inequality, sufficient conditions are obtained that guarantee the realisation of the cluster synchronisation pattern for all initial values. Numerical simulation results are also given to support the validity of the main results.
引用
收藏
页码：2117 / 2127
页数：11
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