Finite time stability of fractional delay differential equations

被引：186

作者：

Li, Mengmeng ^{[1
]}

Wang, JinRong ^{[1
]}

机构：

[1] Guizhou Univ, Dept Math, Guiyang 550025, Guizhou, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2017年 / 64卷

基金：

中国国家自然科学基金;

关键词：

Delayed Mittag-Leffler type matrix; Fractional delay differential; equations; Finite time stability; NEURAL-NETWORKS; SYSTEMS; EXISTENCE; MATRICES;

D O I：

10.1016/j.aml.2016.09.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we firstly introduce a concept of delayed Mittag-Leffler type matrix function, an extension of Mittag-Leffler matrix function for linear fractional ODEs, which help us to seek explicit formula of solutions to fractional delay differential equations by using the variation of constants method. Secondly, we present the finite time stability results by virtue of delayed Mittag-Leffler type matrix. Finally, an example is given to illustrate our theoretical results. (C) 2016 Elsevier Ltd. All rights reserved.

引用

页码：170 / 176

页数：7

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