Finite-time stability of nonlinear stochastic ?-Hilfer fractional systems with time delay

被引：3
作者：
Yang, Qing [1 ]
Bai, Chuanzhi [1 ]
Yang, Dandan [1 ]
机构：
[1] Huaiyin Normal Univ, Dept Math, Huaian 223300, Jiangsu, Peoples R China
来源：
AIMS MATHEMATICS | 2022年 / 7卷 / 10期
关键词：
-Hilfer fractional derivative; generalized Gronwall?s inequality; finite time stability; EXISTENCE;
D O I：
10.3934/math.20221037
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the finite time stability of stochastic psi-Hilfer fractional-order time -delay systems. Under the stochastic analysis techniques and the generalized Gronwall's inequality for psi-fractional derivative, the criterion of finite time stability of the solution for nonlinear stochastic psi-Hilfer fractional systems with time delay is obtained. An example is provided to illustrate the effectiveness of the proposed methods. Some known results in the literature are extended.
引用
收藏
页码：18837 / 18852
页数：16
相关论文
共 50 条
  • [41] Finite-time stability and stabilization of time-delay systems
    Moulay, Emmanuel
    Dambrine, Michel
    Yeganefar, Nima
    Perruquetti, Wilfrid
    SYSTEMS & CONTROL LETTERS, 2008, 57 (07) : 561 - 566
  • [42] Comments on finite-time stability of time-delay systems
    Efimov, Denis
    Polyakov, Andrey
    Fridman, Emilia
    Perruquetti, Wilfrid
    Richard, Jean-Pierre
    AUTOMATICA, 2014, 50 (07) : 1944 - 1947
  • [43] Finite-time stability results for fuzzy fractional stochastic delay system under Granular differentiability concept
    Tian, M. Q.
    Luo, D. F.
    IRANIAN JOURNAL OF FUZZY SYSTEMS, 2023, 20 (05): : 135 - 150
  • [44] Finite-time stability and finite-time boundedness of uncertain fractional order switched systems
    Zhu, Bingbing
    Wu, Baowei
    PROCEEDINGS OF THE 32ND 2020 CHINESE CONTROL AND DECISION CONFERENCE (CCDC 2020), 2020, : 3859 - 3864
  • [45] Finite-time L2−L∞ filtering for nonlinear stochastic systems based on a novel stochastic finite-time stability theorem
    Mingzhe Hou
    Aiguo Wu
    Gunagren Duan
    International Journal of Control, Automation and Systems, 2017, 15 : 489 - 497
  • [46] Finite-time L 2-L∞ filtering for nonlinear stochastic systems based on a novel stochastic finite-time stability theorem
    Hou, Mingzhe
    Wu, Aiguo
    Duan, Gunagren
    INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2017, 15 (02) : 489 - 497
  • [47] Finite-Time Stability of a Class of Uncertain Switched Nonlinear Systems with Time-Varying Delay
    La-inchua, Teerapong
    Yotha, Narongsak
    THAI JOURNAL OF MATHEMATICS, 2022, 20 (02): : 747 - 757
  • [48] On finite-time stability of nonautonomous nonlinear systems
    Zhang, Junhui
    Wang, Qing-Guo
    Sun, Jitao
    INTERNATIONAL JOURNAL OF CONTROL, 2020, 93 (04) : 783 - 787
  • [49] FINITE-TIME STABILITY OF DISCRETE DESCRIPTOR SYSTEMS WITH TIME-VARYING DELAY AND NONLINEAR UNCERTAINTIES
    Jia, Yusheng
    Lin, Chong
    Zhang, Mingji
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2024, 14 (05): : 2977 - 2992
  • [50] Finite-Time Stability of Linear Caputo-Katugampola Fractional-Order Time Delay Systems
    Ben Makhlouf, Abdellatif
    Nagy, A. M.
    ASIAN JOURNAL OF CONTROL, 2020, 22 (01) : 297 - 306
12345