α-stability and α-synchronization for fractional-order neural networks

被引：146
作者：
Yu, Juan [1 ]
Hu, Cheng [1 ]
Jiang, Haijun [1 ]
机构：
[1] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Xinjiang, Peoples R China
来源：
NEURAL NETWORKS | 2012年 / 35卷
关键词：
Fractional-order; alpha-exponential stability; alpha-exponential synchronization; CHAOS SYNCHRONIZATION; SYSTEMS;
D O I：
10.1016/j.neunet.2012.07.009
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
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.
引用
收藏
页码：82 / 87
页数：6
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