α-stability and α-synchronization for fractional-order neural networks
α-stability and α-synchronization for fractional-order neural networks
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DOI：
10.1016/j.neunet.2012.07.009
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发表时间：
2012-11-01
期刊：
影响因子：
7.8
通讯作者：
Jiang, Haijun
中科院分区：
文献类型：
--
作者：
Yu, Juan;Hu, Cheng;Jiang, Haijun
本文研究了一类分数阶神经网络。首先，α-指数稳定性作为一种新的稳定性类型，并通过处理一个新的分数阶微分不等式，得到了一些有效的准则，这种类型的稳定性的网络。在此基础上，讨论了平衡点的存在性和α指数稳定性。此外，还研究了分数阶混沌网络的同步问题。最后，给出了几个数值模拟的例子来说明所得到的结果的有效性。(C)2012爱思唯尔有限公司保留所有权利。
In this paper, a class of fractional-order neural networks is investigated. First, alpha-exponential stability is introduced as a new type of stability and some effective criteria are derived for such kind of stability of the addressed networks by handling a new fractional-order differential inequality. Based on the results, the existence and alpha-exponential stability of the equilibrium point are considered. Besides, the synchronization of fractional chaotic networks is also proposed. Finally, several examples with numerical simulations are given to show the effectiveness of the obtained results. (C) 2012 Elsevier Ltd. All rights reserved.