Regular Papers
International Journal of Control, Automation and Systems 2022; 20(11): 3584-3591
Published online September 29, 2022
https://doi.org/10.1007/s12555-021-0529-7
© The International Journal of Control, Automation, and Systems
Fixed-time Synchronization of Fractional-order Hopfield Neural Networks
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.
Keywords Feedback controller, fixed-time synchronization, fractional order, Hopfield neural networks.
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Regular Papers
International Journal of Control, Automation and Systems 2022; 20(11): 3584-3591
Published online November 1, 2022 https://doi.org/10.1007/s12555-021-0529-7
Copyright © The International Journal of Control, Automation, and Systems.
Fixed-time Synchronization of Fractional-order Hopfield Neural Networks
Xu Mei and Yucai Ding*
Southwest University of Science and Technology
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.
Keywords: Feedback controller, fixed-time synchronization, fractional order, Hopfield neural networks.
Vol. 23, No. 3, pp. 683~972
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