Quaternary Delayed Cohen-Grossberg Fuzzy Neural Network Synchronization with Non-continuous Activations

This paper focuses on the finite-time and fixed-time for fuzzy quaternion-valued Cohen-Grossberg neural networks (FQVCGNNs) via non-continuous activations and time-varying delays.By designing Lyapunov functions and utilizing differential inequalities, several effective conditions are derived to ensure the finite-time and fixed-time synchronization of the addressed neural networks based on two different time-delayed feedback controllers.Moreover, a novel fixed-time convergence method is proposed to study synchronization in fixed-time of discontinuous delayed FQVCGNNs.In the end, two numerical examples with simulations are given to confirm the effectiveness of the synchronization criteria.

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Publication Details

Journal
Neural Parallel and Scientific Computations
Published
2024-11-23
DOI
https://doi.org/10.46719/npsc2024.32.02
Primary Topic
Neural Networks and Applications
Type
article
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article

Quaternary Delayed Cohen-Grossberg Fuzzy Neural Network Synchronization with Non-continuous Activations

Changjin Xu, Chaouki Aouiti, Haydar Akça, Maissa Bessifi
Neural Parallel and Scientific Computations
Neural Networks and Applications
article

Quaternary Delayed Cohen-Grossberg Fuzzy Neural Network Synchronization with Non-continuous Activations

Changjin Xu, Chaouki Aouiti, Haydar Akça, Maissa Bessifi
article en

Abstract

This paper focuses on the finite-time and fixed-time for fuzzy quaternion-valued Cohen-Grossberg neural networks (FQVCGNNs) via non-continuous activations and time-varying delays.By designing Lyapunov functions and utilizing differential inequalities, several effective conditions are derived to ensure the finite-time and fixed-time synchronization of the addressed neural networks based on two different time-delayed feedback controllers.Moreover, a novel fixed-time convergence method is proposed to study synchronization in fixed-time of discontinuous delayed FQVCGNNs.In the end, two numerical examples with simulations are given to confirm the effectiveness of the synchronization criteria.

Neural Parallel and Scientific ComputationsVol. 32(1)
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Neural Networks and Applications
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