Stability analysis of fractional-order Cohen–Grossberg neural networks with time delay
Stability analysis of fractional-order Cohen–Grossberg neural networks with time delay
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DOI：
10.1080/00207160.2014.935734
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发表时间：
2015-06
影响因子：
1.8
通讯作者：
Yunquan Ke;Chunfang Miao
中科院分区：
文献类型：
--
作者：
Yunquan Ke;Chunfang Miao
研究了一类具有时滞的分数阶Cohen-Grossberg神经网络平衡点的存在性和有限时间稳定性。利用Bellman-Gronwall不等式、微分中值定理和收缩映射，得到了系统有限时间稳定的充分条件。最后，通过一个算例说明了所得结果的有效性。
In this paper, the existence and finite-time stability of equilibrium point for a class fractional-order Cohen–Grossberg neural networks with time delay are investigated. Moreover, some sufficient conditions for the finite time stability are obtained by using Bellman–Gronwall inequality and differential mean value theorem,and contraction mapping. Finally, an example is given to illustrate the effectiveness of the results.