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

  • Regular Article - Statistical and Nonlinear Physics
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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.

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Author information

Authors and Affiliations

  1. School of Electronics and Information Engineering, Anhui University, Hefei, 230601, China

    Dawei Ding, Ya Wang, Yongbing Hu, Zongli Yang & Hongwei Zhang

  2. National Engineering Research Center for Agro-Ecological Big Data Analysis & Application, Anhui University, Hefei, 230601, China

    Dawei Ding

  3. China Academy of Information and Communication Technology (CAICT), Beijing, China

    Xu Zhang

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  1. Dawei Ding
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  2. Ya Wang
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  4. Zongli Yang
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  5. Hongwei Zhang
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Contributions

DWD, YW wrote the manuscript, DW. D, Y.W carried out theoretical derivation and simulation, HWZ check the manuscript, other authors reviewed the whole manuscript. All authors approved the manuscript.

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Correspondence to Hongwei Zhang.

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Ding, D., Wang, Y., Hu, Y. et al. Pinning synchronization and parameter identification of fractional-order complex-valued dynamical networks with multiple weights. Eur. Phys. J. B 95, 122 (2022). https://doi.org/10.1140/epjb/s10051-022-00382-1

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