一类Caputo分数阶中立型时滞投影神经网络
A Class of Caputo Fractional-Order Neutral Delayed Projection Neural Networks
DOI: 10.12677/PM.2022.128144, PDF,   
作者: 王 卓：成都理工大学，数理学院，数学地质四川省重点实验室，四川 成都
关键词: 分数阶投影神经网络；时滞；有限时间稳定性；Fractional-Order Projection Neural Network； Delay； Finite-Time Stability
摘要: 本文主要研究一类具有时滞的Caputo分数阶中立型投影神经网络。首先，我们利用Sadovskii不动点定理和压缩映像原理，在适当条件下，证明了时滞投影神经网络解的存在和唯一性。其次，利用一个新的Gronwall不等式证明得到了投影时滞系统的有限时间稳定性的充分条件。最后，两个数值例子证明了我们的结果。
Abstract: This paper mainly focuses on a class of Caputo fractional neutral projection neural networks with time delay. Firstly, by using contraction mapping principle and fixed point theorem, we propose the existence and uniqueness of solutions for time-delay projection neural networks under appropriate conditions. Secondly, a new Gronwall inequality is used to derive the finite-time stability of projection delay systems. Finally, two numerical examples prove our results.
文章引用：王卓. 一类Caputo分数阶中立型时滞投影神经网络[J]. 理论数学, 2022, 12(8): 1312-1326. https://doi.org/10.12677/PM.2022.128144

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