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, finit...

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Bibliographic Details
Main Authors: Lan-Lan Huang, Guo-Cheng Wu, Cheng Luo
Format: Article
Language:English
Published: Vilnius University Press 2025-05-01
Series:Nonlinear Analysis
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Online Access:https://www.journals.vu.lt/nonlinear-analysis/article/view/41799
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Summary: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.
ISSN:1392-5113
2335-8963