Equilibria and Stability Analysis of Cohen-Grossberg BAM Neural Networks on Time Scale

LIU Mingshuo, FANG Yong, DONG Huanhe

系统科学与复杂性(英文) ›› 2022, Vol. 35 ›› Issue (4) : 1348-1373.

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系统科学与复杂性(英文) ›› 2022, Vol. 35 ›› Issue (4) : 1348-1373. DOI: 10.1007/s11424-022-0250-5

Equilibria and Stability Analysis of Cohen-Grossberg BAM Neural Networks on Time Scale

    LIU Mingshuo, FANG Yong, DONG Huanhe
作者信息 +

Equilibria and Stability Analysis of Cohen-Grossberg BAM Neural Networks on Time Scale

    LIU Mingshuo, FANG Yong, DONG Huanhe
Author information +
文章历史 +

摘要

This paper considers the Cohen-Grossberg BAM neural networks (CG-BAMNNs) on time scale, which can unify and generalize the continuous and discrete systems. First, the criteria for the existence and uniqueness of the equilibrium of CG-BAMNNs are derived on time scale. Then based on that, the authors give the criteria for the stability and estimation of equilibrium of the CG-BAMNNs on time scale. The method proposed in this paper unifies and generalizes the continuous and discrete CGBAMNNs systems, and is applicable to some other neural network systems on time scale with practical meaning. The effectiveness of the proposed criteria for delayed CG-BAMNNs is demonstrated by numerical simulation.

Abstract

This paper considers the Cohen-Grossberg BAM neural networks (CG-BAMNNs) on time scale, which can unify and generalize the continuous and discrete systems. First, the criteria for the existence and uniqueness of the equilibrium of CG-BAMNNs are derived on time scale. Then based on that, the authors give the criteria for the stability and estimation of equilibrium of the CG-BAMNNs on time scale. The method proposed in this paper unifies and generalizes the continuous and discrete CGBAMNNs systems, and is applicable to some other neural network systems on time scale with practical meaning. The effectiveness of the proposed criteria for delayed CG-BAMNNs is demonstrated by numerical simulation.

关键词

Cohen-Grossberg BAM neural networks / existence / numerical simulation / stability / uniqueness

Key words

Cohen-Grossberg BAM neural networks / existence / numerical simulation / stability / uniqueness

引用本文

导出引用
LIU Mingshuo , FANG Yong , DONG Huanhe. Equilibria and Stability Analysis of Cohen-Grossberg BAM Neural Networks on Time Scale. 系统科学与复杂性(英文), 2022, 35(4): 1348-1373 https://doi.org/10.1007/s11424-022-0250-5
LIU Mingshuo , FANG Yong , DONG Huanhe. Equilibria and Stability Analysis of Cohen-Grossberg BAM Neural Networks on Time Scale. Journal of Systems Science and Complexity, 2022, 35(4): 1348-1373 https://doi.org/10.1007/s11424-022-0250-5

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基金

This research was supported by the National Natural Science Foundation of China under Grant Nos. 12105161, 11975143 and the Natural Science Foundation of Shandong Province under Grant No. ZR2019QD018.
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