Mittag-Leffler stability and asymptotic ω-periodicity of fractional-order inertial neural networks with time-delays

被引：30
作者：
Ke, Liang [1 ]
机构：
[1] Zhejiang Ind Polytech Coll, Sch Mech Engn, Shaoxing 312000, Zhejiang, Peoples R China
来源：
NEUROCOMPUTING | 2021年 / 465卷
关键词：
Fractional-order; Inertial neural networks; Variable substitution; Mittag-Leffler stability; Asymptotical w-periodicity; DIFFERENTIAL-EQUATIONS; SYNCHRONIZATION; STABILIZATION; FAMILY;
D O I：
10.1016/j.neucom.2021.08.121
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, the stability for a class fractional-order inertial neural networks with time-delay are investigated. Moreover, some sufficient conditions for the Mittag-Leffler stability and the asymptotical omega-periodicity are obtained, by the appropriate transformation, using the property of the Riemann-Liouville fractional integral and derivative. In the end, results of the theoretical derivation are verified by virtue of two numerical simulation examples. (C) 2021 The Author. Published by Elsevier B.V.
引用
收藏
页码：53 / 62
页数：10
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