Cluster synchronisation of Lur'e dynamical networks

被引：24

作者：

Guo, L. ^{[1
]}

Nian, X. ^{[1
]}

Zhao, Y. ^{[2
]}

Duan, Z. ^{[2
]}

机构：

[1] Cent S Univ, Sch Informat Sci & Engn, Changsha 410075, Hunan, Peoples R China

[2] Peking Univ, State Key Lab Turbulence & Complex Syst, Dept Mech & Aerosp Engn, Coll Engn, Beijing 100871, Peoples R China

来源：

IET CONTROL THEORY AND APPLICATIONS | 2012年 / 6卷 / 16期

关键词：

MASTER-SLAVE SYNCHRONIZATION; COMPLEX NETWORKS; IMPULSIVE SYNCHRONIZATION; ABSOLUTE STABILITY; SYSTEMS; CONTROLLERS; CONSENSUS; FEEDBACK;

D O I：

10.1049/iet-cta.2012.0467

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This study investigates the cluster synchronisation problem of complex networks with each node being a Lur'e system. Some criteria for cluster synchronisation are presented by using a local linear control strategy. According to Lyapunov stability theory, sufficient conditions are first established to realise cluster synchronisation of the Lur'e dynamical networks. Then, a sufficient condition in the frequency domain is also formulated in the framework of the absolute stability theory. The notion of the cluster-synchronised region is introduced, and some conditions guaranteeing the cluster-synchronised region are derived. Furthermore, the cluster synchronisation in the Lur'e networks with time-varying delay is considered. Finally, some numerical examples illustrate the effectiveness of the theoretical results.

引用

页码：2499 / 2508

页数：10

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