Complex modified projective synchronization of fractional-order complex-valued dynamic network with time-varying coupling and parameters estimation

Dawei Ding, Qingrong Jiang, Yongbing Hu, Haolei Jin, Zongli Yang, Zhixin Zhang and Qiujie Wu
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Dawei Ding: School of Electronics and Information Engineering, Anhui University, Hefei 230601, P. R. China
Qingrong Jiang: School of Electronics and Information Engineering, Anhui University, Hefei 230601, P. R. China
Yongbing Hu: School of Electronics and Information Engineering, Anhui University, Hefei 230601, P. R. China
Haolei Jin: School of Electronics and Information Engineering, Anhui University, Hefei 230601, P. R. China
Zongli Yang: School of Electronics and Information Engineering, Anhui University, Hefei 230601, P. R. China
Zhixin Zhang: ��School of Mathematics Sciences, Anhui University, Hefei 230601, P. R. China
Qiujie Wu: ��School of Internet, Anhui University, Hefei 230601, P. R. China

International Journal of Modern Physics C (IJMPC), 2023, vol. 34, issue 07, 1-18

Abstract: The problem of Complex Modified Projective Synchronization (CMPS) for fractional-order complex-valued dynamic networks (FOCDNs) is investigated in this paper. Compared with real-valued dynamic networks, complex-valued dynamic networks have expansive application space. First, coupling weight has been generally considered as static constant in most situations, we consider time-varying coupling weight and the unknown parameters in the FOCDNs. Meanwhile, several parameter update laws are designed to estimate unknown parameters and an adaptive coupling weight is defined to adjust coupling nodes in order to solve CMPS problem of the network. Second, some effective criteria for CMPS of FOCDNs are derived by fractional calculus and Lyapunov stability theory. According to the theoretical analysis, FOCDNs with time-varying delay can achieve CMPS via adaptive controller. Finally, the effectiveness of the modified projective strategy for fractional-order complex networks is illustrated via two numerical examples in the complex-valued space.

Keywords: Complex modified projective synchronization (CMPS); complex-valued network; unknown parameter; time-vary coupling; time-vary delay (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1142/S0129183123500845

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