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

Paulraj Babu Dhivakaran; Arumugam Vinodkumar; Jehad Alzabut; Paulraj Babu Dhivakaran; Arumugam Vinodkumar; Jehad Alzabut

doi:10.3934/mmc.2026004

Mathematical Modelling and Control

2026, Volume 6, Issue 1: 44-56. doi: 10.3934/mmc.2026004

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Research article

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

1.
Department of Mathematics, Amrita School of Physical Sciences, Coimbatore, Amrita Vishwa Vidyapeetham, India
2.
Department of Mathematics, Thiagarajar College of Engineering, Madurai, Tamilnadu, India
3.
Department of Industrial Engineering, OSTİM Technical University, Ankara 06374, Türkiye
4.
Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia

Received: 14 June 2024 Revised: 09 August 2024 Accepted: 12 October 2024 Published: 02 March 2026

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.
- bipartite synchronization,
- Caputo derivative,
- decoupling method,
- delay-independent criteria,
- structurally balanced,
- quantized pinning control
Citation: Paulraj Babu Dhivakaran, Arumugam Vinodkumar, Jehad Alzabut. Bipartite synchronization of fractional-order coupled neural networks with memristor and quantized pinning control under communication delay[J]. Mathematical Modelling and Control, 2026, 6(1): 44-56. doi: 10.3934/mmc.2026004

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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.

References

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