Weyl Almost Periodic Solutions in Distribution of Clifford-Valued Stochastic High-Order Hopfield Neural Networks with Delays on Time Scales
Year: 2022
Author: Yongkun Li, Xiaoli Huang
CSIAM Transactions on Applied Mathematics, Vol. 3 (2022), Iss. 4 : pp. 810–840
Abstract
In this paper, we first propose a concept of Weyl almost periodic random processes on time scales, including the concepts of Weyl almost periodic random processes in $p$-th mean and Weyl almost periodic random processes in distribution. Then, using the Banach fixed point theorem, time scale calculus theory and inequality techniques, the existence and stability of Weyl almost periodic solutions for Clifford-valued stochastic high-order Hopfield neural networks with time-varying delays on time scales are studied. Even when the system we consider degenerates into a real-valued system, our results are new. Finally, a numerical example is given to illustrate the feasibility of our theoretical results.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/csiam-am.SO-2022-0001
CSIAM Transactions on Applied Mathematics, Vol. 3 (2022), Iss. 4 : pp. 810–840
Published online: 2022-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 31
Keywords: Weyl almost periodic random processes on time scales Clifford-valued neural network Weyl almost periodic solution in distribution global exponential stability time scales.