Existence and Global Attractivity of Pseudo Almost Periodic Solutions for Clifford-Valued Fuzzy Neural Networks with Proportional Delays

In this paper, Clifford-valued fuzzy neural networks with proportional delays, whose leakage term coefficients are also Clifford numbers, are considered. Based on the Banach fixed point theorem and differential inequality technique, we use a direct method to obtain the existence, uniqueness, and global attractivity of pseudo almost periodic solutions for the considered networks. Finally, we provide a numerical example to illustrate the feasibility of our results. Our results are new.

Automated summary

In this paper, Clifford-valued fuzzy neural networks with proportional delays and Clifford numbers as leakage term coefficients are investigated. By utilizing the Banach fixed point theorem and differential inequality technique, the existence, uniqueness, and global attractivity of pseudo almost periodic solutions for these networks are established using a direct method. A numerical example is provided to demonstrate the feasibility of the results, which are novel.