Finite-time stability of discrete fractional uncertain recurrent neural networks

This paper investigates finite-time stability of fractional uncertain difference equations with time delay. A fractional sum inequality is obtained from uncertain initial-value conditions. A delayed discrete Gronwall’s inequality is used, and sample paths are numerically illustrated. Finally, finite-time stability results are obtained for a fractional uncertain recurrent neural network model. It can be concluded that this paper provides an efficient tool for finite-time analysis of high-dimensional fractional uncertain systems with time delay.

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Publication Details

Journal
Nonlinear Analysis Modelling and Control
Published
2025-05-03
DOI
https://doi.org/10.15388/namc.2025.30.41799
Citations
3
Primary Topic
Neural Networks and Applications
Type
article
Field-Weighted Citation Impact
7.44

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article

Finite-time stability of discrete fractional uncertain recurrent neural networks

Lan–Lan Huang, Cheng Luo, Guo–Cheng Wu
3 citations
Nonlinear Analysis Modelling and Control
Neural Networks and Applications
7.44
article

Finite-time stability of discrete fractional uncertain recurrent neural networks

Lan–Lan Huang, Cheng Luo, Guo–Cheng Wu
article en
3 citations

Abstract

This paper investigates finite-time stability of fractional uncertain difference equations with time delay. A fractional sum inequality is obtained from uncertain initial-value conditions. A delayed discrete Gronwall’s inequality is used, and sample paths are numerically illustrated. Finally, finite-time stability results are obtained for a fractional uncertain recurrent neural network model. It can be concluded that this paper provides an efficient tool for finite-time analysis of high-dimensional fractional uncertain systems with time delay.

Nonlinear Analysis Modelling and ControlVol. 30(5)
Chongqing University of Posts and Telecommunications (CN), Southwest University (CN), Neijiang Normal University (CN)
National Natural Science Foundation of China, Neijiang Normal University
Openalex Percentile: Top 3%
Neural Networks and Applications
7.44
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Finite-time stability of discrete fractional uncertain recurrent neural networks — Lan–Lan Huang, Cheng Luo, et al. · Nonlinear Analysis Modelling and Control (2025) | TGRS Research Map | TGRS