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Research Article | Open Access

Global exponential synchronization of discrete-time high-order BAM neural networks with multiple time-varying delays

Er-yong Cong1,2( )Li Zhu1Xian Zhang3,4( )
Department of Mathematics, Harbin University, Harbin 150086, China
Heilongjiang Provincial Key Laboratory of the Intelligent Perception and Intelligent Software, Harbin University, Harbin 150080, China
School of Mathematical Science, Heilongjiang University, Harbin 150080, China
Heilongjiang Provincial Key Laboratory of the Theory and Computation of Complex Systems, Heilongjiang University, Harbin 150080, China
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Abstract

The global exponential synchronization (GES) problem of a class of discrete-time high-order bidirectional associative memory neural networks (BAMNNs) with multiple time-varying delays (T-VDs) is studied. We investigate novel delay-dependent global exponential stability criteria for the error system by proposing a mathematical induction method. The global exponential stability criteria that have been obtained are described through linear scalar inequalities. These exponential synchronization conditions are very simple and convenient for verification based on standard software tools (such as YALMIP). Lastly, an instance is presented to demonstrate the validity of the theoretical findings.

CLC number: 93D20

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AIMS Mathematics
Pages 33632-33648

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Cite this article:
Cong E-y, Zhu L, Zhang X. Global exponential synchronization of discrete-time high-order BAM neural networks with multiple time-varying delays. AIMS Mathematics, 2024, 9(12): 33632-33648. https://doi.org/10.3934/math.20241605

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Received: 16 October 2024
Revised: 11 November 2024
Accepted: 22 November 2024
Published: 15 December 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)