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

Dawei Ding (), Ya Wang (), Yongbing Hu (), Zongli Yang (), Hongwei Zhang () and Xu Zhang ()
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Dawei Ding: 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)

The European Physical Journal B: Condensed Matter and Complex Systems, 2022, vol. 95, issue 8, 1-12

Abstract: 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.

Date: 2022
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DOI: 10.1140/epjb/s10051-022-00382-1

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