Global stability analysis of S-asymptotically ω-periodic oscillation in fractional-order cellular neural networks with time variable delays

被引：20
作者：
Qu, Huizhen [1 ]
Zhang, Tianwei [2 ]
Zhou, Jianwen [3 ]
机构：
[1] Guilin Univ Technol Nanning, Sch Basic Sci, Nanning 530001, Guangxi, Peoples R China
[2] Kunming Univ Sci & Technol, Inst Math, Kunming 650051, Yunnan, Peoples R China
[3] Yunnan Univ, Dept Math, Kunming 650091, Yunnan, Peoples R China
来源：
NEUROCOMPUTING | 2020年 / 399卷
基金：
中国国家自然科学基金;
关键词：
Caputo derivative; Mittag-Leffler function; Comparison principle; Laplace transform; MITTAG-LEFFLER STABILITY; DISTRIBUTED DELAYS; MODEL;
D O I：
10.1016/j.neucom.2020.03.005
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
A delayed cellular neural networks with Caputo fractional-order derivative has been discussed in this paper. Firstly, the existence and uniqueness of S-asymptotically omega-periodic oscillation of the model are investigated by some important features of Mittag-Leffler functions and contraction mapping principle. Secondly, global asymptotical stability of the model is also studied by using Laplace transform, comparison principle and stability theorem of linear delayed Caputo fractional-order differential equations. Some better results are derived to improve and extend a few existing research findings. The research thoughts in this literature could be applied to research other fractional-order models in neural networks and physical areas. (c) 2020 Elsevier B.V. All rights reserved.
引用
收藏
页码：390 / 398
页数：9
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