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 50 条
  • [21] New criteria on the finite-time stability of fractional-order BAM neural networks with time delay
    Xuemei Li
    Xinge Liu
    Shuailei Zhang
    Neural Computing and Applications, 2022, 34 : 4501 - 4517
  • [22] New criteria on the finite-time stability of fractional-order BAM neural networks with time delay
    Li, Xuemei
    Liu, Xinge
    Zhang, Shuailei
    Neural Computing and Applications, 2022, 34 (06) : 4501 - 4517
  • [23] Positivity and Stability of Fractional-Order Linear Time-Delay Systems
    HAO Yilin
    HUANG Chengdai
    CAO Jinde
    LIU Heng
    JournalofSystemsScience&Complexity, 2022, 35 (06) : 2181 - 2207
  • [24] Positivity and Stability of Fractional-Order Linear Time-Delay Systems
    Yilin Hao
    Chengdai Huang
    Jinde Cao
    Heng Liu
    Journal of Systems Science and Complexity, 2022, 35 : 2181 - 2207
  • [25] Positivity and Stability of Fractional-Order Linear Time-Delay Systems
    Hao Yilin
    Huang Chengdai
    Cao Jinde
    Liu Heng
    JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2022, 35 (06) : 2181 - 2207
  • [26] Switching law design for finite-time stability of singular fractional-order systems with delay
    Thanh, Nguyen T.
    Vu Ngoc Phat
    IET CONTROL THEORY AND APPLICATIONS, 2019, 13 (09): : 1367 - 1373
  • [27] Finite-time stability of nonlinear stochastic ?-Hilfer fractional systems with time delay
    Yang, Qing
    Bai, Chuanzhi
    Yang, Dandan
    AIMS MATHEMATICS, 2022, 7 (10): : 18837 - 18852
  • [28] Finite-Time Stability Analysis of Fractional Delay Systems
    Elshenhab, Ahmed M.
    Wang, Xingtao
    Cesarano, Clemente
    Almarri, Barakah
    Moaaz, Osama
    MATHEMATICS, 2022, 10 (11)
  • [29] New criteria for finite-time stability of nonlinear fractional-order delay systems: A Gronwall inequality approach
    Phat, V. N.
    Thanh, N. T.
    APPLIED MATHEMATICS LETTERS, 2018, 83 : 169 - 175
  • [30] New results on finite-time stability for fractional-order neural networks with proportional delay
    Yang, Zhanying
    Zhang, Jie
    Hu, Junhao
    Mei, Jun
    NEUROCOMPUTING, 2021, 442 : 327 - 336
12345