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Fixed-time Synchronization of Fractional-order Hopfield Neural Networks

Xu Mei and Yucai Ding*
International Journal of Control, Automation, and Systems, vol. 20, no. 11, pp.3584-3591, 2022

Abstract : This paper investigates the fixed-time synchronization of fractional-order Hopfield neural networks (FHNNs). The aim of this paper is to design a state-feedback controller to make the synchronization error convergent to zero within bounded time. Based on the Lyapunov function and fractional calculus theory, we derived some criteria of synchronization for delay-free FHNNs and delayed FHNNs, respectively. At the same time, the upper bound of settling time for synchronization are given. Numerical simulations demonstrate the effectiveness of the theoretical analysis.

Keyword : Feedback controller, fixed-time synchronization, fractional order, Hopfield neural networks.

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