Finite-Time Stability of Atangana-Baleanu Fractional-Order Linear Systems

被引：8
|
作者：
Sheng, Jiale [1 ]
Jiang, Wei [1 ]
Pang, Denghao [1 ,2 ]
机构：
[1] Anhui Univ, Sch Math Sci, Hefei 230601, Peoples R China
[2] Anhui Univ, Sch Internet, Hefei 230601, Peoples R China
来源：
COMPLEXITY | 2020年 / 2020卷 / 2020期
基金：
中国国家自然科学基金;
关键词：
DIFFERENTIAL-EQUATIONS; DELAY;
D O I：
10.1155/2020/1727358
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper investigates a fractional-order linear system in the frame of Atangana-Baleanu fractional derivative. First, we prove that some properties for the Caputo fractional derivative also hold in the sense of AB fractional derivative. Subsequently, several sufficient criteria to guarantee the finite-time stability and the finite-time boundedness for the system are derived. Finally, an example is presented to illustrate the validity of our main results.
引用
收藏
页数：8
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