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Distributed control of cluster synchronisation in networks with randomly occurring non-linearities

Author

Listed:
  • Aihua Hu
  • Jinde Cao
  • Manfeng Hu
  • Liuxiao Guo

Abstract

This paper is concerned with the issue of mean square cluster synchronisation in complex networks, which consist of non-identical nodes with randomly occurring non-linearities. In order to guarantee synchronisation, distributed controllers depending on the information from the neighbours in the same cluster are applied to each node, meanwhile, the control gains are supposed to be updated according to the given laws. Based on the Lyapunov stability theory, the sufficient synchronisation conditions are derived and proved theoretically. Finally, a numerical example is presented to demonstrate the effectiveness of the results.

Suggested Citation

  • Aihua Hu & Jinde Cao & Manfeng Hu & Liuxiao Guo, 2016. "Distributed control of cluster synchronisation in networks with randomly occurring non-linearities," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(11), pages 2588-2597, August.
    • Handle: RePEc:taf:tsysxx:v:47:y:2016:i:11:p:2588-2597
    DOI: 10.1080/00207721.2014.1002026
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    Cited by:

    1. Dong, Tao & Wang, Aijuan & Zhu, Huiyun & Liao, Xiaofeng, 2018. "Event-triggered synchronization for reaction–diffusion complex networks via random sampling," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 495(C), pages 454-462.
    2. Luo, Tianjiao, 2019. "Stabilization of multi-group models with multiple dispersal and stochastic perturbation via feedback control based on discrete-time state observations," Applied Mathematics and Computation, Elsevier, vol. 354(C), pages 396-410.
    3. Zhang, Lan & Yang, Xinsong & Xu, Chen & Feng, Jianwen, 2017. "Exponential synchronization of complex-valued complex networks with time-varying delays and stochastic perturbations via time-delayed impulsive control," Applied Mathematics and Computation, Elsevier, vol. 306(C), pages 22-30.

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