New criterion for finite-time stability of fractional delay systems

被引:44
作者
Du, Feifei [1 ,2 ]
Lu, Jun-Guo [1 ,2 ]
机构
[1] Shanghai Jiao Tong Univ, Dept Automat, Shanghai 200240, Peoples R China
[2] Minist Educ China, Key Lab Syst Control & Informat Proc, Shanghai 200240, Peoples R China
基金
中国博士后科学基金; 中国国家自然科学基金;
关键词
Finite-time stability; Fractional delay systems; Gronwall inequality; INTEGRAL-INEQUALITIES;
D O I
10.1016/j.aml.2020.106248
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, a new fractional Gronwall inequality with time delay is developed. Based on this inequality, a new criterion for finite-time stability of fractional delay systems is derived. Two numerical examples are given to show that the proposed results are less conservative than the existing ones. (C) 2020 Elsevier Ltd. All rights reserved.
引用
收藏
页数:7
相关论文
共 14 条
  • [1] [Anonymous], 1992, Integral Inequalities and Applications
  • [2] Finite-time stability criteria for a class of fractional-order neural networks with delay
    Chen, Liping
    Liu, Cong
    Wu, Ranchao
    He, Yigang
    Chai, Yi
    [J]. NEURAL COMPUTING & APPLICATIONS, 2016, 27 (03) : 549 - 556
  • [3] Du F. F., 2020, Journal of Nonlinear Modeling and Analysis, V2, P1, DOI [10.12150/jnma.2020.1, DOI 10.12150/JNMA.2020.1]
  • [4] Finite-time stability of a class of nonlinear fractional delay difference systems
    Du, Feifei
    Jia, Baoguo
    [J]. APPLIED MATHEMATICS LETTERS, 2019, 98 (233-239) : 233 - 239
  • [5] Kuczma M., 2009, INTRO THEORY FUNCTIO, P200
  • [6] Finite-time stability analysis of fractional order time-delay systems: Gronwall's approach
    Lazarevic, Mihailo P.
    Spasic, Aleksandar M.
    [J]. MATHEMATICAL AND COMPUTER MODELLING, 2009, 49 (3-4) : 475 - 481
  • [7] Finite time stability of fractional delay differential equations
    Li, Mengmeng
    Wang, JinRong
    [J]. APPLIED MATHEMATICS LETTERS, 2017, 64 : 170 - 176
  • [8] New criteria for finite-time stability of nonlinear fractional-order delay systems: A Gronwall inequality approach
    Phat, V. N.
    Thanh, N. T.
    [J]. APPLIED MATHEMATICS LETTERS, 2018, 83 : 169 - 175
  • [9] Podlubny I., 1999, FRACTIONAL DIFFERENT
  • [10] Improved Approach for Finite-Time Stability of Nonlinear Fractional-Order Systems With Interval Time-Varying Delay
    Thanh, Nguyen T.
    Phat, Vu N.
    [J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2019, 66 (08) : 1356 - 1360