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Cluster synchronization of fractional-order directed networks via intermittent pinning control

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  • Zhou, Jiaying
  • Zhao, Yi
  • Wu, ZhaoYan

Abstract

In this paper, cluster synchronization of fractional-order directed network is investigated. The intermittent pinning control scheme is adopted to design effective controllers for achieving the cluster synchronization. Only the first node in each cluster needs to be controlled. Based on the Lyapunov function method and mathematical analysis technique, some sufficient conditions of cluster synchronization in the given network are derived and demonstrated to be effective by diverse numerical examples.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:519:y:2019:i:c:p:22-33
    DOI: 10.1016/j.physa.2018.12.032
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    References listed on IDEAS

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    1. 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.
    2. Liang, Song & Wu, Ranchao & Chen, Liping, 2016. "Adaptive pinning synchronization in fractional-order uncertain complex dynamical networks with delay," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 444(C), pages 49-62.
    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. Zhou, Peipei & Cai, Shuiming & Jiang, Shengqin & Liu, Zengrong, 2018. "Exponential cluster synchronization in directed community networks via adaptive nonperiodically intermittent pinning control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 492(C), pages 1267-1280.
    5. Hongbin Zhang & Chunguang Li & Guanrong Chen & Xing Gao, 2005. "Hyperchaos In The Fractional-Order Nonautonomous Chen'S System And Its Synchronization," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 16(05), pages 815-826.
    6. Feng, Jianwen & Yang, Pan & Zhao, Yi, 2016. "Cluster synchronization for nonlinearly time-varying delayed coupling complex networks with stochastic perturbation via periodically intermittent pinning control," Applied Mathematics and Computation, Elsevier, vol. 291(C), pages 52-68.
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    Cited by:

    1. 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).
    2. Yan, Jiaye & Zhou, Jiaying & Wu, Zhaoyan, 2019. "Structure identification of unknown complex-variable dynamical networks with complex coupling," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 256-265.
    3. Cai, Shuiming & Hou, Meiyuan, 2021. "Quasi-synchronization of fractional-order heterogeneous dynamical networks via aperiodic intermittent pinning control," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
    4. 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.
    5. Jia, You & Wu, Huaiqin & Cao, Jinde, 2020. "Non-fragile robust finite-time synchronization for fractional-order discontinuous complex networks with multi-weights and uncertain couplings under asynchronous switching," Applied Mathematics and Computation, Elsevier, vol. 370(C).
    6. Zhao, Lingdong, 2021. "A note on “Cluster synchronization of fractional-order directed networks via intermittent pinning control”," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 561(C).
    7. Shen, Yafei & Shi, Jinyao & Cai, Shuiming, 2020. "Pinning synchronization of weighted bipartite networks with time-varying delays via aperiodic intermittent control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 545(C).

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