Global stability analysis of S-asymptotically ω-periodic oscillation in fractional-order cellular neural networks with time variable delays
Global stability analysis of S-asymptotically ω-periodic oscillation in fractional-order cellular neural networks with time variable delays
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DOI：
10.1016/j.neucom.2020.03.005
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发表时间：
2020-07
期刊：
影响因子：
6
通讯作者：
Huizhen Qu;Tianwei Zhang;Jianwen Zhou
中科院分区：
文献类型：
--
作者：
Huizhen Qu;Tianwei Zhang;Jianwen Zhou
本文讨论了具有Caputo分数阶导数的延迟细胞神经网络。首先，利用Mittag-Leffler函数的一些重要性质和压缩映射原理，研究了该模型的S-渐近ω-周期振动的存在唯一性.其次，利用拉普拉斯变换、比较原理和线性时滞Caputo分数阶微分方程的稳定性定理，研究了模型的全局渐近稳定性。得出了一些更好的结果，以改进和扩展一些现有的研究成果。本文的研究思路可应用于神经网络和物理领域中其他分数阶模型的研究。
A delayed cellular neural networks with Caputo fractional-order derivative has been discussed in this paper. Firstly, the existence and uniqueness ofS-asymptoticallyω-periodic oscillation of the model are investigated by some important features of Mittag-Leffler functions and contraction mapping principle. Secondly, global asymptotical stability of the model is also studied by using Laplace transform, comparison principle and stability theorem of linear delayed Caputo fractional-order differential equations. Some better results are derived to improve and extend a few existing research findings. The research thoughts in this literature could be applied to research other fractional-order models in neural networks and physical areas.