Cluster synchronization in directed networks of non-identical systems with noises via random pinning control

被引：56
作者：
Hu, Aihua [1 ,2 ]
Cao, Jinde [3 ,4 ]
Hu, Manfeng [2 ]
Guo, Liuxiao [2 ]
机构：
[1] Southeast Univ, Sch Automat, Nanjing 210096, Jiangsu, Peoples R China
[2] Jiangnan Univ, Sch Sci, Wuxi 214122, Peoples R China
[3] Southeast Univ, Dept Math, Nanjing 210096, Jiangsu, Peoples R China
[4] King Abdulaziz Univ, Dept Math, Jeddah 21589, Saudi Arabia
来源：
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2014年 / 395卷
基金：
中国国家自然科学基金; 中国博士后科学基金;
关键词：
Network; Cluster synchronization; Random pinning control; Noise; COMPLEX DYNAMICAL NETWORK; CIRCUITS; DELAYS;
D O I：
10.1016/j.physa.2013.10.040
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
This paper is concerned with the issue of mean square cluster synchronization in directed networks, which consist of non-identical nodes infected by communication noises. The pinning control method is employed in designing controllers for guaranteeing cluster synchronization, meanwhile, all the controllers are supposed to occur with different probabilities by introducing the Bernoulli stochastic variables. Based on the Lyapunov stability theory and the stochastic theory, the sufficient synchronization conditions are derived and proved theoretically, which are mainly for the controllers to be designed and the noise intensities. Finally, some numerical examples are presented to demonstrate the effectiveness of the results. (C) 2013 Elsevier B.V. All rights reserved.
引用
收藏
页码：537 / 548
页数：12
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