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Research Article | Open Access

Robustness analysis of fuzzy BAM cellular neural network with time-varying delays and stochastic disturbances

Wenxiang FangTao Xie( )Biwen Li
School of mathematics and statistics, Hubei Normal University, Huangshi 435002, Hubei, China
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Abstract

Robustness analysis for the global exponential stability of fuzzy bidirectional associative memory cellular neural network (FBAMCNN) is explored in this paper. By applying Gronwall-Bellman lemma and other inequality techniques, the range limits of both time-varying delays and the intensity of noise that FBAMCNN can withstand to maintain globally exponentially stable is estimated. It means that if the intensities of interference are larger than the bounds we derived, then the perturbed system may lose global exponential stability. Several instances are given to support our main results.

CLC number: 93B35, 93D23

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AIMS Mathematics
Pages 9365-9384

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Cite this article:
Fang W, Xie T, Li B. Robustness analysis of fuzzy BAM cellular neural network with time-varying delays and stochastic disturbances. AIMS Mathematics, 2023, 8(4): 9365-9384. https://doi.org/10.3934/math.2023471

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Received: 10 December 2022
Revised: 29 January 2023
Accepted: 06 February 2023
Published: 15 April 2023
©2023 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)