Journal of Guangdong University of Technology ›› 2021, Vol. 38 ›› Issue (03): 55-61.doi: 10.12052/gdutxb.200085

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Robust H∞ Synchronization for a Class of Complex Networks with Multi-weights under Impulsive Control

Zheng Zi-zhao1, Peng Shi-guo1, Fu Zhi-wen1, Xu Yun-jian2   

  1. 1. School of Automation, Guangdong University of Technology, Guangzhou 510006, China;
    2. School of Intelligent Engineering, Guangdong AIB Polytechnic, Guangzhou 510507, China
  • Received:2020-07-06 Online:2021-05-10 Published:2021-03-12

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Abstract: Based on the impulsive control method, a robust H∞ synchronization problem for a class of complex networks with multi-weights is studied, and a novel distributed impulsive controller is designed. By adding the error state feedback item between the node state variable and the synchronous state in the traditional distributed impulsive controller, the robust H∞ synchronization of the complex networks with multi-weights are guaranteed when they were affected by external interference. Based on the stability theory of Lyapunov, mathematical induction and other relevant knowledge, the sufficient conditions for networks to achieve robust H∞ synchronization is given in the form of linear matrix inequalities (LMIs). Finally, a numerical simulation verifies the validity of the conclusion.

Key words: impulsive control, complex networks, multi-weights, robust H∞ synchronization

CLC Number: 

  • TP273
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