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Research Article | Open Access

Global robust stability of fuzzy cellular neural networks with parameter uncertainties

Tiecheng Zhang1,2, Wei He3( )
School of Mathematics and Statistics, Hubei Normal University, Huangshi, 435002, China
Huangshi Key Laboratory of Metaverse and Virtual Simulation, Hubei Normal University, Huangshi, 435002, China
School of Mathematics and Statistics, Hubei University of Science and Technology, Xianning, 437000, China
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Abstract

The global robust stability of uncertain delayed fuzzy cellular neural networks (UDFCNNs) was analyzed in this paper. The major results of this paper provided some new criteria for the existence and uniqueness of the equilibrium point of UDFCNN. Furthermore, suitable Lyapunov-Krasovskii functionals was designed for obtaining the adequate conditions for the global asymptotic robust stability and global exponential robust stability of UDFCNN. Finally, several numerical examples was provided to verify the validity of the results.

Keywords

fuzzy cellular neural networktime delayparameter uncertaintiesglobal asymptotic robust stabilityglobal exponential robust stability
CLC number: 93D09, 93D20, 93D23

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AIMS Mathematics
Volume 9 Issue 4,
April 2024
Pages 8063-8078
DOI: 10.3934/math.2024392

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Cite this article:
Zhang T, He W. Global robust stability of fuzzy cellular neural networks with parameter uncertainties. AIMS Mathematics, 2024, 9(4): 8063-8078. https://doi.org/10.3934/math.2024392

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Received: 28 December 2023
Revised: 03 February 2024
Accepted: 08 February 2024
Published: 15 April 2024
©2024 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)