Mittag-Leffler stability analysis of a class of homogeneous fractional systems

被引：1
|
作者：
Fajraoui, Tarek [1 ]
Ghanmi, Boulbaba [1 ]
Mabrouk, Fehmi [1 ]
Omri, Faouzi [1 ]
机构：
[1] Univ Gafsa, Fac Sci Gafsa, Dept Math, Univ Campus Sidi Ahmed Zarroug, Gafsa 2112, Tunisia
来源：
ARCHIVES OF CONTROL SCIENCES | 2021年 / 31卷 / 02期
关键词：
homogeneous fractional systems; Lyapunov homogeneous function; MittagLeffler stability; UNIFORM STABILITY; APPROXIMATIONS;
D O I：
10.24425/acs.2021.137424
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, we start by the research of the existence of Lyapunov homogeneous function for a class of homogeneous fractional Systems, then we shall prove that local and global behaviors are the same. The uniform Mittag-Leffler stability of homogeneous fractional time-varying systems is studied. A numerical example is given to illustrate the efficiency of the obtained results.
引用
收藏
页码：401 / 415
页数：15
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