Finite-time Synchronization of fractional-order complex-valued fuzzy cellular neural networks with time-varying delays

Article type: Research Article

Authors: Jin, Wenbin | Cui, Wenxia^{; *} | Wang, Zhenjie

Affiliations: School of Mathematics Physics and Statistics, Shanghai University of Engineering Science, Shanghai, China

Correspondence: [*] Corresponding author. Wenbin Jin, School of Mathematics Physics and Statistics, Shanghai University of Engineering Science, Shanghai, China. E-mail: cuiwx423@163.com.

Abstract: Finite-time synchronization is concerned for the fractional-order complex-valued fuzzy cellular neural networks (FOCVFCNNs) with leakage delay and time-varying delays. Without using the usual complex-valued system decomposition method, this paper designs the different forms of the controllers by using 2-norm. And we construct the appropriate Lyapunov functional and apply inequality analytical techniques, some new sufficient conditions are obtained to ensure finite-time synchronization of the FOCVFCNNs. The upper bound of setting-time function is obtained. Finally, numerical examples are examined to illustrate the effectiveness of the analytical results.

Keywords: Finite-time synchronization, fractional-order, complex-valued, time-varying delays

DOI: 10.3233/JIFS-211183

Journal: Journal of Intelligent & Fuzzy Systems, vol. 41, no. 6, pp. 7341-7351, 2021