分数阶模糊时滞神经网络模型解的存在唯一性和有限时间稳定性

摘要

In this paper, we introduce a class of fractional-order fuzzy neutral network system. According to Gronwall inequality, contraction mapping principle and the properties of fractional differential equation, the existence, uniqueness and finite time stability of fractional-order fuzzy neural networks with delay are researched. Finally, the numerical simulation is studied to illustrate the theory.%本文介绍了一类分数阶模糊时滞神经网络模型。利用压缩映射原理，讨论了带时滞的分数阶神经网络模型解的存在性和唯一性，并根据Gronwall不等式结合分数阶微分方程的性质，证明了分数阶神经网络模型平衡点的有限时间稳定性，给出了有限时间稳定性的判断准则。最后，给出数值仿真说明了理论结果的正确性。