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Cluster synchronization of complex networks via event-triggered strategy under stochastic sampling

Author

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

Abstract

This paper is concerned with the issue of mean square cluster synchronization of non-identical nodes connected by a directed network. Suppose that the nodes possess nonlinear dynamics and split into several clusters, then an event-triggered control scheme is proposed for synchronization based on the information from stochastic sampling. Meanwhile, an equilibrium is considered to be the synchronization state or the virtual leader for each cluster, which can apply pinning control to the following nodes. Assume that a spanning tree exists in the subgraph consisting of the nodes belonging to the same cluster and the corresponding virtual leader, and the instants for updating controllers are determined by the given event-triggered strategy, then some sufficient conditions for cluster synchronization are presented according to the Lyapunov stability theory and linear matrix inequality technique. Finally, a specific numerical example is shown to demonstrate the effectiveness of the theoretical results.

Suggested Citation

  • Hu, Aihua & Cao, Jinde & Hu, Manfeng & Guo, Liuxiao, 2015. "Cluster synchronization of complex networks via event-triggered strategy under stochastic sampling," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 434(C), pages 99-110.
    • Handle: RePEc:eee:phsmap:v:434:y:2015:i:c:p:99-110
    DOI: 10.1016/j.physa.2015.03.065
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    References listed on IDEAS

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    1. Pruessner, G. & Cheang, S. & Jensen, H.J., 2015. "Synchronization by small time delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 420(C), pages 8-13.
    2. Wu, Zhaoyan & Fu, Xinchu, 2014. "Cluster lag synchronisation in community networks via linear pinning control with local intermittent effect," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 395(C), pages 487-498.
    3. Hu, Aihua & Cao, Jinde & Hu, Manfeng & Guo, Liuxiao, 2014. "Cluster synchronization in directed networks of non-identical systems with noises via random pinning control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 395(C), pages 537-548.
    4. Hu, Cheng & Jiang, Haijun, 2012. "Cluster synchronization for directed community networks via pinning partial schemes," Chaos, Solitons & Fractals, Elsevier, vol. 45(11), pages 1368-1377.
    5. Steven H. Strogatz, 2001. "Exploring complex networks," Nature, Nature, vol. 410(6825), pages 268-276, March.
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    Citations

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    Cited by:

    1. Wang, Yangling & Cao, Jinde & Wang, Haijun & Alsaadi, Fuad E., 2019. "Event-triggered consensus of multi-agent systems with nonlinear dynamics and communication delay," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 522(C), pages 147-157.
    2. 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.
    3. Guo, Xing & Lu, Jianquan & Alsaedi, Ahmed & Alsaadi, Fuad E., 2018. "Bipartite consensus for multi-agent systems with antagonistic interactions and communication delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 495(C), pages 488-497.
    4. Wang, Aijuan & Liao, Xiaofeng & Dong, Tao, 2018. "Finite-time event-triggered synchronization for reaction–diffusion complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 509(C), pages 111-120.
    5. 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.
    6. Luo, Yiping & Yao, Yuejie & Cheng, Zifeng & Xiao, Xing & Liu, Hanyu, 2021. "Event-triggered control for coupled reaction–diffusion complex network systems with finite-time synchronization," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 562(C).
    7. Li, Xuechen & Wang, Nan & Lu, Jianquan & Alsaadi, Fuad E., 2019. "Pinning outer synchronization of partially coupled dynamical networks with complex inner coupling matrices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 515(C), pages 497-509.
    8. Yue, Dandan & Guan, Zhi-Hong & Li, Tao & Liao, Rui-Quan & Liu, Feng & Lai, Qiang, 2017. "Event-based cluster synchronization of coupled genetic regulatory networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 482(C), pages 649-665.

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