Global Mittag-Leffler stabilization of fractional-order complex-valued memristive neural networks

被引：41

作者：

Chang, Wenting ^{[1
]}

Zhu, Song ^{[1
]}

Li, Jinyu ^{[1
]}

Sun, Kaili ^{[1
]}

机构：

[1] China Univ Min & Technol, Sch Math, Xuzhou 221116, Jiangsu, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2018年 / 338卷

关键词：

Fractional-order; Complex-valued; Memristive neural networks; Global Mittag-Leffler stability; EXPONENTIAL STABILITY; SYNCHRONIZATION; EXISTENCE; DYNAMICS;

D O I：

10.1016/j.amc.2018.06.041

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper presents the theoretical results about global Mittag-Leffler stabilization for a class of fractional-order complex-valued memristive neural networks with the designed two types of control rules. As the extension of fractional-order real-valued memristive neural networks, fractional-order complex-valued memristive neural networks have complex-valued states, synaptic weights, and the activation functions. By utilizing the set-valued maps, a generalized fractional derivative inequality as well as fractional-order differential inclusions, several stabilization criteria for global Mittag-Leffler stabilization of fractional-order complex-valued memristive neural networks are established. A numerical example is provided here to illustrate our theoretical results. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：346 / 362

页数：17

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