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Adaptive impulsive cluster synchronization in community network with nonidentical nodes

Author

Listed:
  • Xiaoli Gong

    (College of Mathematics and Information Science, Jiangxi Normal University, Nanchang, Jiangxi Province 330022, P. R. China)

  • Luyining Gan

    (College of Mathematics and Information Science, Jiangxi Normal University, Nanchang, Jiangxi Province 330022, P. R. China)

  • Zhaoyan Wu

    (College of Mathematics and Information Science, Jiangxi Normal University, Nanchang, Jiangxi Province 330022, P. R. China)

Abstract

In this paper, cluster synchronization in community network with nonidentical nodes is investigated. Through introducing proper adaptive strategy into impulsive control scheme, adaptive impulsive controllers are designed for achieving the cluster synchronization. In this adaptive impulsive control scheme, for any given networks, the impulsive gains can adjust themselves to proper values according to the proposed adaptive strategy when the impulsive intervals are fixed. The impulsive instants can be estimated by solving a sequence of maximum value problems when the impulsive gains are fixed. Both community networks without and with coupling delay are considered. Based on the Lyapunov function method and mathematical analysis technique, two synchronization criteria are derived. Several numerical examples are performed to verify the effectiveness of the derived theoretical results.

Suggested Citation

  • Xiaoli Gong & Luyining Gan & Zhaoyan Wu, 2016. "Adaptive impulsive cluster synchronization in community network with nonidentical nodes," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 27(01), pages 1-15, January.
    • Handle: RePEc:wsi:ijmpcx:v:27:y:2016:i:01:n:s0129183116500108
    DOI: 10.1142/S0129183116500108
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    Cited by:

    1. Zhou, Jiaying & Zhao, Yi & Wu, ZhaoYan, 2019. "Cluster synchronization of fractional-order directed networks via intermittent pinning control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 519(C), pages 22-33.
    2. Yi Wang & Zhaoyan Wu, 2021. "Cluster Synchronization in Variable-Order Fractional Community Network via Intermittent Control," Mathematics, MDPI, vol. 9(20), pages 1-12, October.

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