TY - JOUR
T1 - Weyl Almost Periodic Solutions in Distribution of Clifford-Valued Stochastic High-Order Hopfield Neural Networks with Delays on Time Scales
AU - Li , Yongkun
AU - Huang , Xiaoli
JO - CSIAM Transactions on Applied Mathematics
VL - 4
SP - 810
EP - 840
PY - 2022
DA - 2022/11
SN - 3
DO - http://doi.org/10.4208/csiam-am.SO-2022-0001
UR - https://global-sci.org/intro/article_detail/csiam-am/21157.html
KW - Weyl almost periodic random processes on time scales, Clifford-valued neural network, Weyl almost periodic solution in distribution, global exponential stability, time scales.
AB - <p style="text-align: justify;">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.</p>