Existence and global exponential stability of compact almost automorphic solutions for Clifford-valued high-order Hopfield neutral neural networks with $ D $ operator

• Published in: AIMS mathematics Vol. 7; no. 4; pp. 6182 - 6203
• Main Authors: Cao, Yuwei, Li, Bing
• Format: Journal Article
• Language: English
• Published: AIMS Press 2022
• Subjects: clifford-valued neural network; compact almost automorphic solution; global exponential stability; high-order hopfield neutral neural network with d operator
• ISSN: 2473-6988; 2473-6988
• DOI: 10.3934/math.2022344

In this paper, a class of Clifford-valued higher-order Hopfield neural networks with $ D $ operator is studied by non-decomposition method. Except for time delays, all parameters, activation functions and external inputs of this class of neural networks are Clifford-valued functions. Based on Banach fixed point theorem and differential inequality technique, we obtain the existence, uniqueness and global exponential stability of compact almost automorphic solutions for this class of neural networks. Our results of this paper are new. In addition, two examples and their numerical simulations are given to illustrate our results.