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Identifying topology and system parameters of fractional-order complex dynamical networks

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  • Zheng, Yi
  • Wu, Xiaoqun
  • Fan, Ziye
  • Wang, Wei

Abstract

This article aims to identify the topology and system parameter of fractional-order complex dynamical networks. The unknown topology and system parameter of the drive network are successfully identified under several controllers and update strategies. Moreover, we propose a lemma as the necessary condition to ensure successful identification. Two numerical simulations conclude that the high heterogeneity between the nodes of the drive network facilitates identification.

Suggested Citation

  • Zheng, Yi & Wu, Xiaoqun & Fan, Ziye & Wang, Wei, 2022. "Identifying topology and system parameters of fractional-order complex dynamical networks," Applied Mathematics and Computation, Elsevier, vol. 414(C).
    • Handle: RePEc:eee:apmaco:v:414:y:2022:i:c:s0096300321007505
    DOI: 10.1016/j.amc.2021.126666
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    References listed on IDEAS

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    8. Balootaki, Mohammad Ahmadi & Rahmani, Hossein & Moeinkhah, Hossein & Mohammadzadeh, Ardashir, 2020. "On the Synchronization and Stabilization of fractional-order chaotic systems: Recent advances and future perspectives," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 551(C).
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    Cited by:

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    2. Li, Xianghua & Zhen, Xiyuan & Qi, Xin & Han, Huichun & Zhang, Long & Han, Zhen, 2023. "Dynamic community detection based on graph convolutional networks and contrastive learning," Chaos, Solitons & Fractals, Elsevier, vol. 176(C).

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