Synchronization of Reaction–Diffusion Stochastic Complex Networks

  • Chaolong Zhang
  • Feiqi DengEmail author
  • Xisheng Dai
  • Shixian Luo
Original Paper


Based on the LaSalle invariant principle of stochastic differential delay equations and Wirtinger’s inequality as well as periodically intermittent control and impulsive control schemes, several sufficient conditions ensuring the synchronization of stochastic complex networks with reaction–diffusion and varying delays are obtained. The Wirtinger inequality overcomes the conservatism introduced by the integral inequality used in the previous results. The proposed criterion for synchronization generalizes and improves those reported recently in the literature. Finally, an illustrative example is given to show effectiveness of results.


Stochastic Synchronization Reaction–diffusion Periodically intermittent Impulsive 



This work was supported by the National Natural Science Foundation of China under Grants 61573156, 61273126, 61503142, and Natural Science Foundation of Guangdong Province under Grant 2015A030310065 ,and Science and Technology Plan Foundation of Guangzhou under Grant 201704030131.


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Copyright information

© Springer Nature India Private Limited 2019

Authors and Affiliations

  • Chaolong Zhang
    • 1
  • Feiqi Deng
    • 2
    Email author
  • Xisheng Dai
    • 3
  • Shixian Luo
    • 2
  1. 1.College of Computational ScienceZhongkai University of Agriculture and EngineeringGuangzhouPeople’s Republic of China
  2. 2.School of Automation Science and EngineeringSouth China University of TechnologyGuangzhouPeople’s Republic of China
  3. 3.School of Electrical and Information EngineeringGuangxi University of Science and TechnologyLiuzhouPeople’s Republic of China

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