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Finite-time synchronization and parameter identification of uncertain fractional-order complex networks

Author

Listed:
  • Li, Hong-Li
  • Cao, Jinde
  • Jiang, Haijun
  • Alsaedi, Ahmed

Abstract

This paper focuses on finite-time synchronization and parameter identification (FTSPI) problem of uncertain fractional-order complex dynamical networks. By utilizing the properties of fractional calculus and some analysis techniques, several sufficient conditions are given to guarantee FTSPI via designing suitable controller and parameter update law. In addition, the estimation bound of the setting time is also given. Finally, numerical simulations are provided to illustrate the effectiveness of our obtained theoretical results.

Suggested Citation

  • Li, Hong-Li & Cao, Jinde & Jiang, Haijun & Alsaedi, Ahmed, 2019. "Finite-time synchronization and parameter identification of uncertain fractional-order complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 533(C).
    • Handle: RePEc:eee:phsmap:v:533:y:2019:i:c:s037843711931163x
    DOI: 10.1016/j.physa.2019.122027
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    Citations

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    Cited by:

    1. Liu, Xinmiao & Xia, Jianwei & Huang, Xia & Shen, Hao, 2020. "Generalized synchronization for coupled Markovian neural networks subject to randomly occurring parameter uncertainties," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 540(C).
    2. Dawei Ding & Ya Wang & Yongbing Hu & Zongli Yang & Hongwei Zhang & Xu Zhang, 2022. "Pinning synchronization and parameter identification of fractional-order complex-valued dynamical networks with multiple weights," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 95(8), pages 1-12, August.
    3. Zhou, Wenjia & Hu, Yuanfa & Liu, Xiaoyang & Cao, Jinde, 2022. "Finite-time adaptive synchronization of coupled uncertain neural networks via intermittent control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 596(C).
    4. Mao, Kun & Liu, Xiaoyang & Cao, Jinde & Hu, Yuanfa, 2022. "Finite-time bipartite synchronization of coupled neural networks with uncertain parameters," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 585(C).
    5. Mingcong Zhou & Zhaoyan Wu, 2021. "Structure Identification of Fractional-Order Dynamical Network with Different Orders," Mathematics, MDPI, vol. 9(17), pages 1-11, August.
    6. Huang, Chengdai & Liu, Heng & Chen, Xiaoping & Cao, Jinde & Alsaedi, Ahmed, 2020. "Extended feedback and simulation strategies for a delayed fractional-order control system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 545(C).
    7. Weiqiu Pan & Tianzeng Li & Muhammad Sajid & Safdar Ali & Lingping Pu, 2022. "Parameter Identification and the Finite-Time Combination–Combination Synchronization of Fractional-Order Chaotic Systems with Different Structures under Multiple Stochastic Disturbances," Mathematics, MDPI, vol. 10(5), pages 1-26, February.
    8. Huang, Conggui & Wang, Fei & Zheng, Zhaowen, 2021. "Exponential stability for nonlinear fractional order sampled-data control systems with its applications," Chaos, Solitons & Fractals, Elsevier, vol. 151(C).

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