Asymptotic stability of delayed fractional-order neural networks with impulsive effects
Asymptotic stability of delayed fractional-order neural networks with impulsive effects
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DOI：
10.1016/j.neucom.2014.11.068
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发表时间：
2015-04
期刊：
影响因子：
6
通讯作者：
Fei Wang;Yongqing Yang;Manfeng Hu
中科院分区：
文献类型：
--
作者：
Fei Wang;Yongqing Yang;Manfeng Hu
本文研究了具有脉冲效应的时滞分数阶神经网络平衡点的存在唯一性和全局渐近稳定性。给出了一个基于Riemann-Liouville算子的引理，该引理在稳定性分析中起着重要作用。给出了分数阶神经网络存在唯一性和渐近稳定性的充分条件。给出了一个算例，说明了分数阶常微分方程解的一种新的数值方法的有效性。
This paper has investigated the existence, uniqueness and the global asymptotic stability of equilibrium point for delayed fractional-order neural networks with impulsive effects. A lemma has been given based on Riemann–Liouville operator, which plays an important role in the stability analysis. Some sufficient conditions are derived to ensure the existence, uniqueness and the asymptotic stability of the fractional-order neural networks. An illustrative example is given to show the effectiveness of the obtained results by using a new numerical method of fractional-order differential equations.