Almost periodic solutions of fuzzy shunting inhibitory CNNs with delays

Ardak Kashkynbayev; Moldir Koptileuova; Alfarabi Issakhanov; Jinde Cao; Ardak Kashkynbayev; Moldir Koptileuova; Alfarabi Issakhanov; Jinde Cao

doi:10.3934/math.2022659

AIMS Mathematics

2022, Volume 7, Issue 7: 11813-11828. doi: 10.3934/math.2022659

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Research article

Almost periodic solutions of fuzzy shunting inhibitory CNNs with delays

1.
Department of Mathematics, Nazarbayev University, Nur-Sultan 010000, Kazakhstan
2.
Institute of Mathematics and Mathematical Modeling, Almaty 050010, Kazakhstan
3.
School of Mathematics, Southeast University, Nanjing 210096, China
4.
Yonsei Frontier Lab, Yonsei University, Seoul 03722, South Korea

Received: 24 December 2021 Revised: 07 April 2022 Accepted: 08 April 2022 Published: 19 April 2022
MSC : 00A69, 92C42, 34A12, 65L07

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.
- shunting inhibitory cellular neural networks,
- fuzzy logic,
- almost periodic function,
- delay differential equations,
- global stability
Citation: Ardak Kashkynbayev, Moldir Koptileuova, Alfarabi Issakhanov, Jinde Cao. Almost periodic solutions of fuzzy shunting inhibitory CNNs with delays[J]. AIMS Mathematics, 2022, 7(7): 11813-11828. doi: 10.3934/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.

References

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