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Pinning synchronization and parameter identification of fractional-order complex-valued dynamical networks with multiple weights

Author

Listed:
  • Dawei Ding

    (Anhui University
    Anhui University)

  • Ya Wang

    (Anhui University)

  • Yongbing Hu

    (Anhui University)

  • Zongli Yang

    (Anhui University)

  • Hongwei Zhang

    (Anhui University)

  • Xu Zhang

    (China Academy of Information and Communication Technology (CAICT))

Abstract

Compared with single weight networks, multiple weights networks are more practical and universal. Considering the unknown structure and time-varying factor in the actual system, the pinning synchronization of fractional-order complex-valued networks (FCVNs) with unknown parameters and time-varying coupling strength is studied. In addition, according to the identification and adaptive law, the unknown parameters can be identified, and the value of time-varying coupling strength is obtained. Based on fractional-order calculus theory and Lyapunov stability theory, sufficient conditions for pinning synchronization of FCVNs with time-varying coupling strength are derived. Finally, the effectiveness of the pinning controller strategy for fractional-order complex networks is illustrated by two numerical examples in complex-value space.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:eurphb:v:95:y:2022:i:8:d:10.1140_epjb_s10051-022-00382-1
    DOI: 10.1140/epjb/s10051-022-00382-1
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    References listed on IDEAS

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    1. Zhang, Lan & Yang, Xinsong & Xu, Chen & Feng, Jianwen, 2017. "Exponential synchronization of complex-valued complex networks with time-varying delays and stochastic perturbations via time-delayed impulsive control," Applied Mathematics and Computation, Elsevier, vol. 306(C), pages 22-30.
    2. Zhao, Hui & Li, Lixiang & Xiao, Jinghua & Yang, Yixian & Zheng, Mingwen, 2017. "Parameters tracking identification based on finite-time synchronization for multi-links complex network via periodically switch control," Chaos, Solitons & Fractals, Elsevier, vol. 104(C), pages 268-281.
    3. 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).
    4. Aviv Bergman & Mark L. Siegal, 2003. "Evolutionary capacitance as a general feature of complex gene networks," Nature, Nature, vol. 424(6948), pages 549-552, July.
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