Global Mittag-Leffler synchronization of discrete-time fractional-order neural networks with time delays

被引：35
|
作者：
Zhang, Xiao-Li [1 ]
Li, Hong-Li [1 ,2 ]
Kao, Yonggui [2 ,3 ]
Zhang, Long [1 ]
Jiang, Haijun [1 ]
机构：
[1] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830017, Peoples R China
[2] Southeast Univ, Sch Math, Nanjing 210096, Peoples R China
[3] Harbin Inst Technol Weihai, Dept Math, Shandong 264209, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2022年 / 433卷
基金：
中国博士后科学基金;
关键词：
Discrete-time; Fractional-order neural networks; Mittag-Leffler synchronization; Time delays; Adaptive control; FINITE-TIME; STABILITY; RIEMANN; MODEL;
D O I：
10.1016/j.amc.2022.127417
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, the problem of the global Mittag-Leffler synchronization is proposed for a sort of discrete-time fractional-order neural networks (DFNNs) with delays. In the first place, a flesh power law inequality pertaining to fractional difference is constructed by means of integration by parts, Young inequality, and some properties about fractional-order difference. In addition, based on aforesaid inequalities, Lyapunov function theory and properties of nabla Mittag-Leffler function as well as inequality techniques, some plentiful criteria are formed to achieve the global Mittag-Leffler synchronization for the delayed DFNNs via devising novel adaptive controller and delay feedback controller. In the end, numerical modeling is given to demonstrate effectiveness of theoretical verdicts. (c) 2022 Elsevier Inc. All rights reserved.
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页数：12
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