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Research Article | Open Access

Almost periodic solutions of fuzzy shunting inhibitory CNNs with delays

Ardak Kashkynbayev1( ), Moldir Koptileuova1, Alfarabi Issakhanov2, Jinde Cao3,4
Department of Mathematics, Nazarbayev University, Nur-Sultan 010000, Kazakhstan
Institute of Mathematics and Mathematical Modeling, Almaty 050010, Kazakhstan
School of Mathematics, Southeast University, Nanjing 210096, China
Yonsei Frontier Lab, Yonsei University, Seoul 03722, South Korea
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Abstract

In the present paper, we prove the existence of unique almost periodic solutions to fuzzy shunting inhibitory cellular neural networks (FSICNN) with several delays. Further, by means of Halanay inequality we analyze the global exponential stability of these solutions and obtain corresponding convergence rate. The results of this paper are new, and they are concluded with numerical simulations confirming them.

Keywords

shunting inhibitory cellular neural networksfuzzy logicalmost periodic functiondelay differential equationsglobal stability
CLC number: 00A69, 92C42, 34A12, 65L07

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AIMS Mathematics
Volume 7 Issue 7,
July 2022
Pages 11813-11828
DOI: 10.3934/math.2022659

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Cite this article:
Kashkynbayev A, Koptileuova M, Issakhanov A, et al. Almost periodic solutions of fuzzy shunting inhibitory CNNs with delays. AIMS Mathematics, 2022, 7(7): 11813-11828. https://doi.org/10.3934/math.2022659

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Received: 24 December 2021
Revised: 07 April 2022
Accepted: 08 April 2022
Published: 15 July 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)