Exponential ultimate boundedness of non-autonomous fractional differential systems with time delay and impulses

被引：37

作者：

Xu, Liguang ^{[1
]}

Chu, Xiaoyan ^{[1
]}

Hu, Hongxiao ^{[2
]}

机构：

[1] Zhejiang Univ Technol, Dept Appl Math, Hangzhou 310023, Zhejiang, Peoples R China

[2] Shanghai Univ Sci & Technol, Coll Sci, Shanghai 200093, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2020年 / 99卷

关键词：

Non-autonomous fractional differential systems; Exponential ultimate boundedness; Time delay; Impulses; STABILITY;

D O I：

10.1016/j.aml.2019.106000

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the globally exponential ultimate boundedness of non-autonomous fractional differential systems with time delay and impulses. By establishing some non-autonomous fractional differential inequalities and using the properties of the Mittag-Leffler function, some sufficient criteria on the exponential ultimate boundedness are presented for the systems. (C) 2019 Elsevier Ltd. All rights reserved.

引用

页数：7

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