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Neural Netw. 2017 Oct;94:67-75. doi: 10.1016/j.neunet.2017.06.010. Epub 2017 Jul 6.

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

Author information

1
School of Electrical Engineering, Yanshan University, Qinhuangdao 066001, China. Electronic address: zhangxinxin0723@163.com.
2
School of Electrical Engineering, Yanshan University, Qinhuangdao 066001, China. Electronic address: niupeifeng2011@163.com.
3
School of Electrical Engineering, Yanshan University, Qinhuangdao 066001, China.

Abstract

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.

KEYWORDS:

Fractional-order neural networks; Impulses; Mittag-Leffler stability; One-side Lipschitz condition

PMID:
28753446
DOI:
10.1016/j.neunet.2017.06.010
[Indexed for MEDLINE]

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