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.
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页数：7
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