Cluster synchronization in nonlinear complex networks under sliding mode control

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• 作者：Huazhou Hou ; Qingling Zhang ; Meng Zheng
• 关键词：Cluster synchronization ; Differential mean value theorem ; Time ; varying mismatched uncertainties ; Sliding mode control
• 刊名：Nonlinear Dynamics
• 出版年：2016
• 出版时间：January 2016
• 年：2016
• 卷：83
• 期：1-2
• 页码：739-749
• 全文大小：961 KB
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• 作者单位：Huazhou Hou (1)
  Qingling Zhang (1)
  Meng Zheng (2)
  
  1. Institute of System Science, Northeastern University, Shenyang, 110819, Liaoning Province, China
  2. Key Laboratory of Networked Control Systems, Chinese Academy of Sciences, Beijing, 110016, China
  
• 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 investigates the cluster synchronization for network of nonlinear systems via differential mean value theorem method and sliding mode control strategy. Because of the existence of the nonlinear dynamics, the differential mean value theorem method is used to transform the nonlinear error complex network system into a linear parameter-varying system. Since the robustness to the uncertainties of the sliding mode, we can deal with the linear parameter-varying system which contains the time-varying mismatched uncertainties by applying the sliding mode control strategy through the equivalent transformation. In addition, appropriate linear matrix inequality stability condition by the Lyapunov method is derived such that each subsystem in the new sliding mode is completely invariant to both matched and mismatched uncertainties. Finally, simulation example is shown to illustrate the effectiveness of the proposed method. Keywords Cluster synchronization Differential mean value theorem Time-varying mismatched uncertainties Sliding mode control