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
收藏
页码：2499 / 2508
页数：10
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