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Research Article | Open Access

Stability analysis for bidirectional associative memory neural networks: A new global asymptotic approach

N. Mohamed Thoiyab1Mostafa Fazly2( )R. Vadivel3Nallappan Gunasekaran4( )
Department of Mathematics, Jamal Mohamed College, Affiliated to Bharathidasan University, Tiruchirappalli 620020, Tamilnadu, India
Department of Mathematics, University of Texas at San Antonio, San Antonio, TX 78249, United States of America
Department of Mathematics, Faculty of Science and Technology, Phuket Rajabhat University, Phuket-83000, Thailand
Department of Natural Sciences, Eastern Michigan Joint College of Engineering, Beibu Gulf University, Qinzhou 535011, China
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Abstract

This study employs specific and appropriate criteria to investigate the global stability of hybrid bidirectional associative memory (BAM) neural networks with time delays. We establish new and more general conditions for global asymptotic robust stability (GARS) in time-delayed BAM neural networks at the equilibrium point. This represents the primary objective and novelty of this paper. The derived conditions are independent of the system parameter delay in BAM neural networks. Finally, we provide numerical examples to illustrate the applicability and effectiveness of our conclusions with respect to network parameters.

CLC number: 93D05, 34D23, 34D08, 68T07, 68T07

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AIMS Mathematics
Pages 3910-3929

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Cite this article:
Mohamed Thoiyab N, Fazly M, Vadivel R, et al. Stability analysis for bidirectional associative memory neural networks: A new global asymptotic approach. AIMS Mathematics, 2025, 10(2): 3910-3929. https://doi.org/10.3934/math.2025182

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Received: 05 December 2024
Revised: 02 February 2025
Accepted: 18 February 2025
Published: 15 February 2025
©2025 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)