Global Mittag-Leffler stability analysis of fractional-order impulsive neural networks with one-side Lipschitz condition

被引：35
|
作者：
Zhang, Xinxin [1 ]
Niu, Peifeng [1 ]
Ma, Yunpeng [1 ]
Wei, Yanqiao [1 ]
Li, Guoqiang [1 ]
机构：
[1] Yanshan Univ, Sch Elect Engn, Qinhuangdao 066001, Peoples R China
来源：
NEURAL NETWORKS | 2017年 / 94卷
基金：
中国国家自然科学基金;
关键词：
Fractional-order neural networks; Mittag-Leffler stability; Impulses; One-side Lipschitz condition; SYNCHRONIZATION; CHAOS; BIFURCATION; DELAYS;
D O I：
10.1016/j.neunet.2017.06.010
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
This paper is concerned with the stability analysis issue of fractional-order impulsive neural networks. Under the one-side Lipschitz condition or the linear growth condition of activation function, the existence of solution is analyzed respectively. In addition, the existence, uniqueness and global Mittag-Leffler stability of equilibrium point of the fractional-order impulsive neural networks with one-side Lipschitz condition are investigated by the means of contraction mapping principle and Lyapunov direct method. Finally, an example with numerical simulation is given to illustrate the validity and feasibility of the proposed results. (C) 2017 Elsevier Ltd. All rights reserved.
引用
收藏
页码：67 / 75
页数：9
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