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Adaptive fixed-time control for cluster synchronisation of coupled complex networks with uncertain disturbances

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  • Shengqin Jiang
  • Xiaobo Lu
  • Guoliang Cai
  • Shuiming Cai

Abstract

This paper focuses on the cluster synchronisation problem of coupled complex networks with uncertain disturbances under an adaptive fixed-time control strategy. To begin with, complex dynamical networks with community structure which are subject to uncertain disturbances are taken into account. Then, a novel adaptive control strategy combined with fixed-time techniques is proposed to guarantee the nodes in the communities to desired states in a settling time. In addition, the stability of complex error systems is theoretically proved based on Lyapunov stability theorem. At last, two examples are presented to verify the effectiveness of the proposed adaptive fixed-time control.

Suggested Citation

  • Shengqin Jiang & Xiaobo Lu & Guoliang Cai & Shuiming Cai, 2017. "Adaptive fixed-time control for cluster synchronisation of coupled complex networks with uncertain disturbances," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(16), pages 3382-3390, December.
  • Handle: RePEc:taf:tsysxx:v:48:y:2017:i:16:p:3382-3390
    DOI: 10.1080/00207721.2017.1384962
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    Cited by:

    1. Jin, Yunguo, 2019. "Parameter recognition for complex networks subjected to noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 536(C).
    2. 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).
    3. 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.

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