Research Communication | Open Access
Volume 2021 | Communication ID 43
Volume 2021 | Communication ID 43
| Piecewise Weighted Pseudo Almost Automorphic Solutions of Impulsive High-Order Hopfield Neural Networks in Clifford Algebra |
Farah Dridi, Chaouki Aouiti
Received |
Accepted |
Published |
January 23, 2021 |
February 15, 2021 |
March 15, 2021 |
Abstract: In this work, we investigated a class of impulsive Hopfield Neural Networks (HNNs) with delays Clifford algebra. By Banach fixed point theorem, we firstly established the existence results of the piecewise weighted pseudo almost automorphic solutions for the proposed HNNs. Secondly, by Gronwall-Bellman inequality and mathematical analysis skills, new criteria are derived for ensuring the exponential stability of the solutions. Finally, a numerical example and remarks are provided to substantiate the efficiency of obtained results. Our derived results are new and complement many ...