https://doi.org/10.1140/epjb/s10051-022-00382-1
Regular Article - Statistical and Nonlinear Physics
Pinning synchronization and parameter identification of fractional-order complex-valued dynamical networks with multiple weights
1
School of Electronics and Information Engineering, Anhui University, 230601, Hefei, China
2
National Engineering Research Center for Agro-Ecological Big Data Analysis & Application, Anhui University, 230601, Hefei, China
3
China Academy of Information and Communication Technology (CAICT), Beijing, China
Received:
22
March
2022
Accepted:
11
July
2022
Published online:
6
August
2022
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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© The Author(s), under exclusive licence to EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature 2022. Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
