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Event-triggered synchronization for reaction–diffusion complex networks via random sampling

Author

Listed:
  • Dong, Tao
  • Wang, Aijuan
  • Zhu, Huiyun
  • Liao, Xiaofeng

Abstract

In this paper, the synchronization problem of the reaction–diffusion complex networks (RDCNs) with Dirichlet boundary conditions is considered, where the data is sampled randomly. An event-triggered controller based on the sampled data is proposed, which can reduce the number of controller and the communication load. Under this strategy, the synchronization problem of the diffusion complex network is equivalently converted to the stability of a of reaction–diffusion complex dynamical systems with time delay. By using the matrix inequality technique and Lyapunov method, the synchronization conditions of the RDCNs are derived, which are dependent on the diffusion term. Moreover, it is found the proposed control strategy can get rid of the Zeno behavior naturally. Finally, a numerical example is given to verify the obtained results.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:495:y:2018:i:c:p:454-462
    DOI: 10.1016/j.physa.2017.12.008
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    References listed on IDEAS

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    Cited by:

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    5. 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.

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