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
  • [21] New criterion for finite-time stability of fractional delay systems
    Du, Feifei
    Lu, Jun-Guo
    APPLIED MATHEMATICS LETTERS, 2020, 104
  • [22] Finite-time stability analysis of fractional singular time-delay systems
    Pang, Denghao
    Jiang, Wei
    ADVANCES IN DIFFERENCE EQUATIONS, 2014,
  • [23] Finite-time stability analysis of fractional singular time-delay systems
    Denghao Pang
    Wei Jiang
    Advances in Difference Equations, 2014
  • [24] Global fractional Halanay inequalities approach to finite-time stability of nonlinear fractional order delay systems
    Nguyen, Thi Thu Huong
    Nguyen, Nhu Thang
    Tran, Minh Nguyet
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2023, 525 (01)
  • [25] Finite-time stability of fractional-order nonlinear systems
    Feng, Zaiyong
    Xiang, Zhengrong
    CHAOS, 2024, 34 (02)
  • [26] Robust Finite-Time Stability for Uncertain Discrete-Time Stochastic Nonlinear Systems with Time-Varying Delay
    Liu, Xikui
    Li, Wencong
    Wang, Jiqiu
    Li, Yan
    ENTROPY, 2022, 24 (06)
  • [27] Finite-time stability theorems of homogeneous stochastic nonlinear systems
    Yin, Juliang
    Khoo, Suiyang
    Man, Zhihong
    SYSTEMS & CONTROL LETTERS, 2017, 100 : 6 - 13
  • [28] Finite-time stability of stochastic nonlinear systems with Markovian switching
    Yin, Juliang
    Yu, Xin
    Khoo, Suiyang
    PROCEEDINGS OF THE 36TH CHINESE CONTROL CONFERENCE (CCC 2017), 2017, : 1919 - 1924
  • [29] Finite-time stability and stabilization of nonlinear stochastic hybrid systems
    Yang, Ying
    Li, Junmin
    Chen, Guopei
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 356 (01) : 338 - 345
  • [30] Comments on "Finite-time stability of a class of nonlinear time-delay systems"
    Chen, Guopei
    Yang, Ying
    AUTOMATICA, 2016, 66 : 1 - 2
12345