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Volume 14, Number 5, 2024, Pages -                                                                DOI:10.11948/JAAC-2022-0447
Pseudo almost periodic solution of fractional-order Clifford-valued high-order Hopfield neural networks
Nina Huo,Yongkun Li
Keywords:Fractional-order calculus  High-order Hopfield neural network  Clifford algebra  Pseudo almost periodic solution  Finite-time stability.
Abstract:
      In this work, based on the principle of contraction mapping, we deduce sufficient conditions ensuring the existence of pseudo almost periodic solutions of fractional-order Clifford-valued high-order Hopfield neural networks (FCHHNNs). In addition, we employ a kind of Gronwall inequality to study the finite-time stability of pseudo almost periodic solutions of FCHHNNs. The results and methods of our paper are new. Finally, we give a numerical example to illustrate the effectiveness of the results obtained.
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