Rong Chen;Hong-Li Li;Heng Liu;Haijun Jiang;Jinde Cao
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Complete Synchronization of Discrete-Time Fractional-Order T-S Fuzzy Complex-Valued Neural Networks With Time Delays and Uncertainties
This article aims to probe synchronization problem of discrete-time fractional-order T-S fuzzy complex-valued neural networks (DFTSFCNNs) with time delays and uncertainties. First, three important power-law inequalities regarding Caputo fractional $\theta$-difference are strictly attested. Next, a fuzzy $m$-norm Lyapunov function (FMLF) that relies on membership functions is designed to replace traditional Lyapunov functions and obtain synchronization criteria. Then, a unique complex-valued fuzzy nonlinear delayed feedback controller is devised, and by virtue of the FMLF method and newly derived inequalities herein, several sufficient criteria are derived to ensure complete synchronization of DFTSFCNNs. Lastly, the validity of the main results is demonstrated by numerical simulations, and an application of the obtained results in image encryption is also provided.
期刊介绍:
The IEEE Transactions on Fuzzy Systems is a scholarly journal that focuses on the theory, design, and application of fuzzy systems. It aims to publish high-quality technical papers that contribute significant technical knowledge and exploratory developments in the field of fuzzy systems. The journal particularly emphasizes engineering systems and scientific applications. In addition to research articles, the Transactions also includes a letters section featuring current information, comments, and rebuttals related to published papers.