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Research Article | Open Access

Refined stability analysis of complex-valued neural networks with time-varying delays

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

In this paper, we investigate the global asymptotic stability of complex-valued neural networks (CVNNs) subject to time-varying delays and parameter uncertainties. We establish novel stability conditions that guarantee both the existence and uniqueness of equilibrium states, as well as the global convergence of the network trajectories. By constructing a suitable Lyapunov-Krasovskii functional, the approach inherently accounts for the stability of CVNNs subject to time-varying delays. Finally, numerical examples are presented to verify the theoretical findings, illustrating both the effectiveness and the practical applicability of the proposed approach.

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

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Networks and Heterogeneous Media
Pages 368-386

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Cite this article:
Thoiyab NM, Fazly M, Vadivel R, et al. Refined stability analysis of complex-valued neural networks with time-varying delays. Networks and Heterogeneous Media, 2026, 21(2): 368-386. https://doi.org/10.3934/nhm.2026017

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Received: 20 November 2025
Revised: 06 March 2026
Accepted: 10 March 2026
Published: 15 June 2026
©2026 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)