Finite-time synchronization and quasi-synchronization of fractional-order fuzzy BAM neural networks with time delays
Articles
Wei Zhao
Anqing Normal University
https://orcid.org/0009-0004-7344-7521
Hongmei Zhang
Anqing Normal University
Hai Zhang
Anqing Normal University
Qinyun Lu
Anqing Normal University
Jinde Cao
Southeast University
Published 2025-07-30
https://doi.org/10.15388/namc.2025.30.42902
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Keywords

finite-time synchronization
quasi-synchronization
BAM neural networks
Caputo derivative
fuzzy term.

How to Cite

Zhao, W. (2025) “Finite-time synchronization and quasi-synchronization of fractional-order fuzzy BAM neural networks with time delays”, Nonlinear Analysis: Modelling and Control, 30, pp. 1–21. doi:10.15388/namc.2025.30.42902.

Abstract

This paper concentrates on the finite-time synchronization (FTS) and the quasi-synchronization (QS) problems for a kind of fractional-order fuzzy BAM neural networks with time delays (FOFBAMNNs). In order to reach the goals of synchronization, two novel controllers are designed. Then, based on finite-time stability theorem, Lyapunov function theory, and several inequality techniques, through the application of two different designed controllers, several criteria for both FTS and QS are established. Moreover, more precise error level and settling times are given. The effectiveness of the derived criteria is ultimately validated through two simulations.

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