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Neural Processing Letters
Erschienen in: Neural Processing Letters 1/2023

31.05.2022

Global Dissipativity of Quaternion-Valued Fuzzy Cellular Fractional-Order Neural Networks With Time Delays

verfasst von: Chaouki Aouiti, Farid Touati

Erschienen in: Neural Processing Letters | Ausgabe 1/2023

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Abstract

This article deals with the global dissipativity of Quaternion-Valued Fuzzy Cellular Fractional-Order Neural Networks (QVFCFONNs). The model is solved by separating it into four real-valued parts, forming an equivalent real system according to Hamilton’s multiplication rules. Our approach is mainly based on the Lyapunov functionals, Linear Matrix Inequalities (LMIs) approach and Laplace transformation. New sufficient conditions are derived to ensure the global dissipativity for the considered network model. Furthermore, the global attractive set is obtained which is positive invariant one. A numerical example along with it simulation is given to demonstrate the accuracy and validity of our obtained theoretical results.
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Metadaten
Titel
Global Dissipativity of Quaternion-Valued Fuzzy Cellular Fractional-Order Neural Networks With Time Delays
verfasst von
Chaouki Aouiti
Farid Touati
Publikationsdatum
31.05.2022
Verlag
Springer US
Erschienen in
Neural Processing Letters / Ausgabe 1/2023
Print ISSN: 1370-4621
Elektronische ISSN: 1573-773X
DOI
https://doi.org/10.1007/s11063-022-10893-8

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