NEW FINITE-TIME STABILITY ANALYSIS OF STOCHASTIC FRACTIONAL-ORDER TIME-DELAY SYSTEMS

被引：0
作者：
Ben Makhlouf, Abdellatif [1 ]
Mchiri, Lassaad [2 ]
Arfaoui, Hassen [1 ]
Rguigui, Hafedh [3 ]
机构：
[1] Jouf Univ, Math Dept, Sakaka, Saudi Arabia
[2] Univ Sfax, Dept Math, Sfax, Tunisia
[3] Umm Al Qura Univ, Dept Math, Mecca, Saudi Arabia
来源：
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2023年 / 53卷 / 04期
关键词：
Hadamard fractional derivative; finite-time stability; stochastic systems; STABILIZATION;
D O I：
10.1216/rmj.2023.53.1011
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We investigate the finite-time stability of stochastic linear fractional systems with delay (SLFSD) for & alpha; & ISIN; (21, 1). By the Banach fixed-point theorem and classical stochastic techniques, the finite-time stability (FTS) of the solution for SLFSD is studied. One example is given to illustrate our theory.
引用
收藏
页码：1011 / 1018
页数：8
相关论文
共 22 条
  • [11] Finite-time stability of linear stochastic fractional-order systems with time delay
    Mchiri, Lassaad
    Ben Makhlouf, Abdellatif
    Baleanu, Dumitru
    Rhaima, Mohamed
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2021, 2021 (01)
  • [12] Miller K. S., 1993, INTRO FRACTIONAL CAL
  • [13] Monje CA, 2010, ADV IND CONTROL, P3, DOI 10.1007/978-1-84996-335-0
  • [14] Finite-time stability and stabilization of time-delay systems
    Moulay, Emmanuel
    Dambrine, Michel
    Yeganefar, Nima
    Perruquetti, Wilfrid
    [J]. SYSTEMS & CONTROL LETTERS, 2008, 57 (07) : 561 - 566
  • [15] Finite-time stability of linear fractional-order time-delay systems
    Naifar, Omar
    Nagy, A. M.
    Ben Makhlouf, Abdellatif
    Kharrat, Mohamed
    Hammami, Mohamed Ali
    [J]. INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2019, 29 (01) : 180 - 187
  • [16] Global Practical Mittag Leffler Stabilization by Output Feedback for a Class Of Nonlinear Fractional-Order Systems
    Naifar, Omar
    Ben Makhlouf, Abdellatif
    Hammami, Mohamed Ali
    Chen, Liping
    [J]. ASIAN JOURNAL OF CONTROL, 2018, 20 (01) : 599 - 607
  • [17] Comments on "Mittag-Leffler stability of fractional order nonlinear dynamic systems [Automatica 45(8) (2009) 1965-1969]"
    Naifar, Omar
    Ben Makhlouf, Abdellatif
    Hammami, Mohamed Ali
    [J]. AUTOMATICA, 2017, 75 : 329 - 329
  • [18] Comments on "Lyapunov stability theorem about fractional system without and with delay"
    Naifar, Omar
    Ben Makhlouf, Abdellatif
    Hammami, Mohamed Ali
    [J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2016, 30 (1-3) : 360 - 361
  • [19] Ross B., 1975, FRACTIONAL CALCULUS, V457
  • [20] Finite-time stability of a class of nonlinear fractional-order system with the discrete time delay
    Wang, Feifei
    Chen, Diyi
    Zhang, Xinguang
    Wu, Yonghong
    [J]. INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2017, 48 (05) : 984 - 993
123