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Impulsive synchronization of complex-variable network with distributed time delays

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  • Leng, Hui
  • Wu, Zhaoyan

Abstract

Impulsive control scheme is adopted to consider the synchronization of complex-variable dynamical network with distributed time delays. Based on the Lyapunov function method and mathematical analysis technique, simple synchronization conditions with respect to system parameters, impulsive gains and intervals are firstly derived. For any given network, the impulsive intervals can be estimated from the derived conditions when the impulsive gains are fixed, and vice versa. Further, adaptive strategy is introduced to design unified impulsive controllers for different networks. Noticeably, in the proposed adaptive impulsive control scheme, the impulsive gains can be adjusted to the needed values and the impulsive instants can be estimated adaptively. Finally, numerical examples are provided to verify the effectiveness of the theoretical results.

Suggested Citation

  • Leng, Hui & Wu, Zhaoyan, 2019. "Impulsive synchronization of complex-variable network with distributed time delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 536(C).
    • Handle: RePEc:eee:phsmap:v:536:y:2019:i:c:s0378437119314888
    DOI: 10.1016/j.physa.2019.122602
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    References listed on IDEAS

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    Cited by:

    1. Yanjie Ji & Zhaoyan Wu, 2021. "Outer Synchronization of Complex-Variable Networks with Complex Coupling via Impulsive Pinning Control," Mathematics, MDPI, vol. 9(17), pages 1-10, September.
    2. Ning, Di & Chen, Juan & Jiang, Meiying, 2022. "Pinning impulsive synchronization of two-layer heterogeneous delayed networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 586(C).

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