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Article

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

by
Wen Lv
and
Bing Li
*
School of Mathematics and Computer Science, Yunnan Minzu University, Kunming 650500, China
*
Author to whom correspondence should be addressed.
Mathematics 2021, 9(24), 3306; https://doi.org/10.3390/math9243306
Submission received: 24 November 2021 / Revised: 16 December 2021 / Accepted: 17 December 2021 / Published: 19 December 2021
(This article belongs to the Section E: Applied Mathematics)
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Abstract

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.
Keywords: Clifford-valued neural networks; fuzzy neural networks; proportional delays; pseudo almost periodic solutions; global attractivity Clifford-valued neural networks; fuzzy neural networks; proportional delays; pseudo almost periodic solutions; global attractivity

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MDPI and ACS Style

Lv, W.; Li, B. Existence and Global Attractivity of Pseudo Almost Periodic Solutions for Clifford-Valued Fuzzy Neural Networks with Proportional Delays. Mathematics 2021, 9, 3306. https://doi.org/10.3390/math9243306

AMA Style

Lv W, Li B. Existence and Global Attractivity of Pseudo Almost Periodic Solutions for Clifford-Valued Fuzzy Neural Networks with Proportional Delays. Mathematics. 2021; 9(24):3306. https://doi.org/10.3390/math9243306

Chicago/Turabian Style

Lv, Wen, and Bing Li. 2021. "Existence and Global Attractivity of Pseudo Almost Periodic Solutions for Clifford-Valued Fuzzy Neural Networks with Proportional Delays" Mathematics 9, no. 24: 3306. https://doi.org/10.3390/math9243306

APA Style

Lv, W., & Li, B. (2021). Existence and Global Attractivity of Pseudo Almost Periodic Solutions for Clifford-Valued Fuzzy Neural Networks with Proportional Delays. Mathematics, 9(24), 3306. https://doi.org/10.3390/math9243306

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