Finite-Time Stability Analysis of Fractional Delay Systems

被引：9
作者：
Elshenhab, Ahmed M. [1 ,2 ]
Wang, Xingtao [1 ]
Cesarano, Clemente [3 ]
Almarri, Barakah [4 ]
Moaaz, Osama [5 ]
机构：
[1] Harbin Inst Technol, Sch Math, Harbin 150001, Peoples R China
[2] Mansoura Univ, Fac Sci, Dept Math, Mansoura 35516, Egypt
[3] Int Telemat Univ Uninettuno, Sect Math, CorsoVittorio Emanuele II 39, I-00186 Rome, Italy
[4] Princess Nourah Bint Abdulrahman Univ, Coll Sci, Dept Math Sci, Riyadh 11671, Saudi Arabia
[5] Qassim Univ, Coll Sci, Dept Math, Buraydah 51452, Saudi Arabia
来源：
MATHEMATICS | 2022年 / 10卷 / 11期
关键词：
finite time stability; fractional delay systems; delayed Mittag-Leffler matrix function; fractional derivative; DIFFERENTIAL-EQUATIONS; MODEL;
D O I：
10.3390/math10111883
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Nonhomogeneous systems of fractional differential equations with pure delay are considered. As an application, the representation of solutions of these systems and their delayed Mittag-Leffler matrix functions are used to obtain the finite time stability results. Our results improve and extend the previous related results. Finally, to illustrate our theoretical results, we give an example.
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页数：11
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