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Cluster Synchronization in Variable-Order Fractional Community Network via Intermittent Control

Author

Listed:
  • Yi Wang

    (School of Mathematics and Statistic, Jiangxi Normal University, Nanchang 330022, China)

  • Zhaoyan Wu

    (School of Mathematics and Statistic, Jiangxi Normal University, Nanchang 330022, China)

Abstract

In this paper, the cluster synchronization of a variable-order fractional community network with nonidentical dynamics is investigated. For achieving the cluster synchronization, intermittent controllers are designed, and the sufficient conditions with respect to system parameters, intermittent control instants and control gains are derived based on stability theory of fractional-order system and linear matrix inequalities (LMIs). To avoid verifying the LMIs, a corresponding simple corollary is provided. Finally, a numerical example is performed to verify the derived result.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:20:p:2596-:d:657413
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    References listed on IDEAS

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