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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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    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).
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