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Research Article | Open Access

Bipartite synchronization of fractional-order coupled neural networks with memristor and quantized pinning control under communication delay

Paulraj Babu Dhivakaran1,2, Arumugam Vinodkumar1( ), Jehad Alzabut3,4
Department of Mathematics, Amrita School of Physical Sciences, Coimbatore, Amrita Vishwa Vidyapeetham, India
Department of Mathematics, Thiagarajar College of Engineering, Madurai, Tamilnadu, India
Department of Industrial Engineering, OSTİM Technical University, Ankara 06374, Türkiye
Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia
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Abstract

This research studied bipartite leader and leaderless synchronization of fractional-order communication delay in coupled memristor neural networks by utilizing the decoupling approach and the Laplace transform. Further, the synchronization was analyzed under delay-independent criteria. Finally, numerical examples were provided to show the effectiveness of theoretical parts.

Keywords

bipartite synchronizationCaputo derivativedecoupling methoddelay-independent criteriastructurally balancedquantized pinning control

References

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Mathematical Modelling and Control
Volume 6 Issue 1,
March 2026
Pages 44-56
DOI: 10.3934/mmc.2026004

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Dhivakaran PB, Vinodkumar A, Alzabut J. Bipartite synchronization of fractional-order coupled neural networks with memristor and quantized pinning control under communication delay. Mathematical Modelling and Control, 2026, 6(1): 44-56. https://doi.org/10.3934/mmc.2026004

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Received: 14 June 2024
Revised: 09 August 2024
Accepted: 12 October 2024
Published: 15 March 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)