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Research Article | Open Access

Novel stability criterion for DNNs via improved asymmetric LKF

Xianhao Zheng1Jun Wang1( )Kaibo Shi2( )Yiqian Tang2Jinde Cao3,4
Electronic Information Engineering Key Laboratory of Electronic Information of State Ethnic Affairs Commission, College of Electrical Engineering, Southwest Minzu University, Chengdu 610041, China
School of Electronic Information and Electrical Engineering, Chengdu University, Chengdu 610106, China
School of Mathematics, Southeast University, Nanjing 210096, China
Yonsei Frontier Lab, Yonsei University, Seoul 03722, South Korea
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Abstract

This paper briefly proposes an improved asymmetric Lyapunov-Krasovskii functional to analyze the stability issue of delayed neural networks (DNNs). By utilizing linear matrix inequalities (LMIs) incorporating integral inequality and reciprocally convex combination techniques, a new stability criterion is formulated. Compared to existing methods, the newly developed stability criterion demonstrates less conservatism and complexity in analyzing neural networks. To explicate the potency and preeminence of the proposed stability criterion, a renowned numerical instance is showcased, serving as an illustrative embodiment.

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Mathematical Modelling and Control
Pages 307-315

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Cite this article:
Zheng X, Wang J, Shi K, et al. Novel stability criterion for DNNs via improved asymmetric LKF. Mathematical Modelling and Control, 2024, 4(3): 307-315. https://doi.org/10.3934/mmc.2024025

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Received: 25 January 2024
Revised: 23 May 2024
Accepted: 15 June 2024
Published: 15 September 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)