Cluster synchronization of overlapping uncertain complex networks with time-varying impulse disturbances

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• 作者：Guoliang Cai (1)
  Shengqin Jiang (1)
  Shuiming Cai (1)
  Lixin Tian (1)
  
  1. Nonlinear Scientific Research Center ; Jiangsu University ; Zhenjiang ; 212013 ; Jiangsu ; People鈥檚 Republic of China
  
• 关键词：Uncertain complex networks ; Impulse disturbances ; Synchronization ; Overlapping community
• 刊名：Nonlinear Dynamics
• 出版年：2015
• 出版时间：April 2015
• 年：2015
• 卷：80
• 期：1-2
• 页码：503-513
• 全文大小：936 KB
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• 刊物类别：Engineering
• 刊物主题：Vibration, Dynamical Systems and Control
  Mechanics
  Mechanical Engineering
  Automotive and Aerospace Engineering and Traffic
  
• 出版者：Springer Netherlands
• ISSN：1573-269X

文摘

This paper addresses the scheme of cluster synchronization of overlapping uncertain complex networks with time-varying impulse disturbances. Many existing works on cluster synchronization focus on synchronizing and desynchronizing impulses separately, but the effects of two types of impulses are rarely observed. Here, we present the analysis of the two types (time-varying impulses) in complex networks. Furthermore, by means of stochastic stability theorem, sufficient conditions for guaranteeing the realization of cluster synchronization are derived. The network topology is assumed to be overlapping community, which includes an overlapping sub community with different dynamic behavior due to its identity (community). Finally, numerical examples are exploited to verify the correctness and effectiveness of theoretical results.