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
相关论文
共 50 条
  • [41] Mittag-Leffler analysis II: Application to the fractional heat equation
    Grothaus, M.
    Jahnert, F.
    JOURNAL OF FUNCTIONAL ANALYSIS, 2016, 270 (07) : 2732 - 2768
  • [42] Mittag-Leffler function and fractional differential equations
    Katarzyna Górska
    Ambra Lattanzi
    Giuseppe Dattoli
    Fractional Calculus and Applied Analysis, 2018, 21 : 220 - 236
  • [43] On the Mittag-Leffler Stability of Impulsive Fractional Solow-Type Models
    Stamova, Ivanka M.
    Stamov, Gani Tr.
    INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2017, 18 (05) : 315 - 325
  • [44] Fractional Calculus of a Unified Mittag-Leffler Function
    Prajapati, J. C.
    Nathwani, B. V.
    UKRAINIAN MATHEMATICAL JOURNAL, 2015, 66 (08) : 1267 - 1280
  • [45] On fractional derivatives with generalized Mittag-Leffler kernels
    Abdeljawad, Thabet
    Baleanu, Dumitru
    ADVANCES IN DIFFERENCE EQUATIONS, 2018,
  • [46] The Role of the Mittag-Leffler Function in Fractional Modeling
    Rogosin, Sergei
    MATHEMATICS, 2015, 3 (02) : 368 - 381
  • [47] On fractional derivatives with generalized Mittag-Leffler kernels
    Thabet Abdeljawad
    Dumitru Baleanu
    Advances in Difference Equations, 2018
  • [48] On the fractional calculus of multivariate Mittag-Leffler functions
    Ozarslan, Mehmet Ali
    Fernandez, Arran
    INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2022, 99 (02) : 247 - 273
  • [49] Mittag-Leffler function for discrete fractional modelling
    Wu, Guo-Cheng
    Baleanu, Dumitru
    Zeng, Sheng-Da
    Luo, Wei-Hua
    JOURNAL OF KING SAUD UNIVERSITY SCIENCE, 2016, 28 (01) : 99 - 102
  • [50] MITTAG-LEFFLER FUNCTION AND FRACTIONAL DIFFERENTIAL EQUATIONS
    Gorska, Katarzyna
    Lattanzi, Ambra
    Dattoli, Giuseppe
    FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2018, 21 (01) : 220 - 236
12345