Neutral-Type CGNNs With Multiple Delays: A Frobenius Norm Approach to Stability

For neutral Cohen-Grossberg neural networks incorporating multiple time delays, we construct a tailored Lyapunov function to derive stability criteria independent of delay magnitudes. Despite the inherent challenge of avoiding vector-matrix representation due to delay multiplicity, this work introduces a pioneering sufficient condition based on parameter matrix Frobenius norms and network parameters. Owing to the method’s feasibility and simplicity, our stability finding not only decreases computational complexity but also lowers conservativeness when compared with several prior studies. The validity and superiority of the findings in this research are confirmed by two specific neural network models.

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Publication Details

Journal
IEEE Access
Published
2025-01-01
DOI
https://doi.org/10.1109/access.2025.3610116
Primary Topic
Elevator Systems and Control
Type
article
Field-Weighted Citation Impact
0.00
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article

Neutral-Type CGNNs With Multiple Delays: A Frobenius Norm Approach to Stability

Binbin Gan, Lin Wang, Hao Chen
IEEE Access
Elevator Systems and Control
article

Neutral-Type CGNNs With Multiple Delays: A Frobenius Norm Approach to Stability

Binbin Gan, Lin Wang, Hao Chen
article en

Abstract

For neutral Cohen-Grossberg neural networks incorporating multiple time delays, we construct a tailored Lyapunov function to derive stability criteria independent of delay magnitudes. Despite the inherent challenge of avoiding vector-matrix representation due to delay multiplicity, this work introduces a pioneering sufficient condition based on parameter matrix Frobenius norms and network parameters. Owing to the method’s feasibility and simplicity, our stability finding not only decreases computational complexity but also lowers conservativeness when compared with several prior studies. The validity and superiority of the findings in this research are confirmed by two specific neural network models.

IEEE AccessVol. 13
Qingdao University (CN), Huaibei Normal University (CN)
Openalex Percentile: Top 69%
Elevator Systems and Control
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