Almost periodic solutions of fuzzy shunting inhibitory CNNs with delays

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 converg...

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Published inAIMS mathematics Vol. 7; no. 7; pp. 11813 - 11828
Main Authors Kashkynbayev, Ardak, Koptileuova, Moldir, Issakhanov, Alfarabi, Cao, Jinde
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2022
Subjects
almost periodic function
delay differential equations
fuzzy logic
global stability
shunting inhibitory cellular neural networks
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ISSN2473-6988
2473-6988
DOI10.3934/math.2022659

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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.
AbstractList 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.
Author Koptileuova, Moldir
Cao, Jinde
Kashkynbayev, Ardak
Issakhanov, Alfarabi
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  organization: School of Mathematics, Southeast University, Nanjing 210096, China, Yonsei Frontier Lab, Yonsei University, Seoul 03722, South Korea
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StartPage 11813
SubjectTerms almost periodic function
delay differential equations
fuzzy logic
global stability
shunting inhibitory cellular neural networks
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