Stability Analysis of Cohen-Grossberg Neural Networks With Multiple Time-Varying Delays

By improving a previously introduced Lyapunov functional,this paper addressed the stability issue about neutral-type Cohen-Grossberg neural networks with multiple time-varying delays in the states of neurons and the time derivative of states of neurons, a sufficient condition for global asymptotic s...

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Main Authors: Binbin Gan, Biao Xu, Hao Chen
Format: Article
Language:English
Published: IEEE 2022-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/9851448/
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author Binbin Gan
Biao Xu
Hao Chen
author_facet Binbin Gan
Biao Xu
Hao Chen
author_sort Binbin Gan
collection DOAJ
description By improving a previously introduced Lyapunov functional,this paper addressed the stability issue about neutral-type Cohen-Grossberg neural networks with multiple time-varying delays in the states of neurons and the time derivative of states of neurons, a sufficient condition for global asymptotic stability is obtained. Since the Cohen-Grossberg neural networks considered in this paper is more general than those in the former literature, the obtained result developed stability condition of Cohen-Grossberg neural networks. At the end of the paper, two examples are employed to demonstrate the validity and superiority of the conclusion.
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spelling doaj.art-5eeef35c393344ffb52514c47df7e80d2022-12-22T04:00:57ZengIEEEIEEE Access2169-35362022-01-0110834638347110.1109/ACCESS.2022.31967729851448Stability Analysis of Cohen-Grossberg Neural Networks With Multiple Time-Varying DelaysBinbin Gan0https://orcid.org/0000-0002-2250-1143Biao Xu1https://orcid.org/0000-0003-0762-0694Hao Chen2https://orcid.org/0000-0001-8508-5178School of Mathematics Science, Huaibei Normal University, Huaibei, ChinaSchool of Mathematics Science, Huaibei Normal University, Huaibei, ChinaSchool of Mathematics Science, Huaibei Normal University, Huaibei, ChinaBy improving a previously introduced Lyapunov functional,this paper addressed the stability issue about neutral-type Cohen-Grossberg neural networks with multiple time-varying delays in the states of neurons and the time derivative of states of neurons, a sufficient condition for global asymptotic stability is obtained. Since the Cohen-Grossberg neural networks considered in this paper is more general than those in the former literature, the obtained result developed stability condition of Cohen-Grossberg neural networks. At the end of the paper, two examples are employed to demonstrate the validity and superiority of the conclusion.https://ieeexplore.ieee.org/document/9851448/Global asymptotic stabilityLyapunov functioalneutral-type Cohen-Grossberg neural networkstime-varying delays
spellingShingle Binbin Gan
Biao Xu
Hao Chen
Stability Analysis of Cohen-Grossberg Neural Networks With Multiple Time-Varying Delays
IEEE Access
Global asymptotic stability
Lyapunov functioal
neutral-type Cohen-Grossberg neural networks
time-varying delays
title Stability Analysis of Cohen-Grossberg Neural Networks With Multiple Time-Varying Delays
title_full Stability Analysis of Cohen-Grossberg Neural Networks With Multiple Time-Varying Delays
title_fullStr Stability Analysis of Cohen-Grossberg Neural Networks With Multiple Time-Varying Delays
title_full_unstemmed Stability Analysis of Cohen-Grossberg Neural Networks With Multiple Time-Varying Delays
title_short Stability Analysis of Cohen-Grossberg Neural Networks With Multiple Time-Varying Delays
title_sort stability analysis of cohen grossberg neural networks with multiple time varying delays
topic Global asymptotic stability
Lyapunov functioal
neutral-type Cohen-Grossberg neural networks
time-varying delays
url https://ieeexplore.ieee.org/document/9851448/
work_keys_str_mv AT binbingan stabilityanalysisofcohengrossbergneuralnetworkswithmultipletimevaryingdelays
AT biaoxu stabilityanalysisofcohengrossbergneuralnetworkswithmultipletimevaryingdelays
AT haochen stabilityanalysisofcohengrossbergneuralnetworkswithmultipletimevaryingdelays