Periodically intermittent controlling for finite-time synchronization of complex dynamical networks

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• 作者：Jun Mei (1) (2)
  Minghui Jiang (2)
  Zhou Wu (1)
  Xiaohong Wang (3)
  
  1. Centre of New Energy Systems ; Department of Electrical and computer Engineering ; University of Pretoria ; Pretoria ; 0002 ; South Africa
  2. College of Science ; China Three Gorges University ; Yichang ; 443002 ; Hubei ; China
  3. College of Information Engineering ; Henan University of Science and Technology ; Luoyang ; 471023 ; China
  
• 关键词：Complex dynamical networks ; Finite ; time synchronization ; Periodically intermittent control ; Lyapunov鈥揔rasovskii functional
• 刊名：Nonlinear Dynamics
• 出版年：2015
• 出版时间：January 2015
• 年：2015
• 卷：79
• 期：1
• 页码：295-305
• 全文大小：502 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

In this paper, we consider finite-time synchronization between two complex dynamical networks using periodically intermittent control. Based on finite-time stability theory, some novel and effective finite-time synchronization criteria are derived by applying stability analysis technique. The derivative of the Lyapunov function \(V(t)\) is smaller than \(\beta V(t)\) ( \(\beta \) is an arbitrary positive constant) when no controllers are added into networks. This means that networks can be self-synchronized without control inputs. As a result, the application scope of synchronization is greatly enlarged. Finally, a numerical example is given to verify the effectiveness and correctness of the synchronization criteria.