ASYMPTOTIC STABILITY OF FRACTIONAL DIFFERENCE EQUATIONS WITH BOUNDED TIME DELAYS

被引：25
|
作者：
Wang, Mei [1 ]
Jia, Baoguo [1 ]
Du, Feifei [2 ]
Liu, Xiang [1 ,3 ]
机构：
[1] Sun Yat Sen Univ, Sch Math, Guangzhou 510275, Peoples R China
[2] Shanghai Jiao Tong Univ, Dept Automat, Shanghai 200240, Peoples R China
[3] Hebei Normal Univ, Sch Math Sci, Shijiazhuang 050024, Hebei, Peoples R China
来源：
FRACTIONAL CALCULUS AND APPLIED ANALYSIS | 2020年 / 23卷 / 02期
基金：
中国博士后科学基金;
关键词：
fractional difference; asymptotical stability; fractional Halanay inequality; bounded time delays; SYSTEMS; CHAOS;
D O I：
10.1515/fca-2020-0028
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, an integral inequality and the fractional Halanay inequalities with bounded time delays in fractional difference are investigated. By these inequalities, the asymptotical stability conditions of Caputo and Riemann-Liouville fractional difference equation with bounded time delays are obtained. Several examples are presented to illustrate the results.
引用
收藏
页码：571 / 590
页数：20
相关论文
共 50 条
  • [31] Stability of linear impulsive It differential equations with bounded delays
    Kadiev, R. I.
    Ponosov, A. V.
    DIFFERENTIAL EQUATIONS, 2010, 46 (04) : 489 - 501
  • [32] Stability of Some Difference Equations with Two Delays
    M. M. Kipnis
    R. M. Nigmatulin
    Automation and Remote Control, 2003, 64 : 782 - 790
  • [33] Stability of oscillatory solutions of difference equations with delays
    Cheng, SS
    Zhang, G
    Liu, ST
    TAIWANESE JOURNAL OF MATHEMATICS, 1999, 3 (04): : 503 - 515
  • [34] Stability of some difference equations with two delays
    Kipnis, MM
    Nigmatulin, RM
    AUTOMATION AND REMOTE CONTROL, 2003, 64 (05) : 782 - 790
  • [35] Existence of Bounded Positive Solutions for Partial Difference Equations with Delays
    Liu, Zeqing
    Wu, Zhihua
    Kwun, Young Chel
    Kang, Shin Min
    ABSTRACT AND APPLIED ANALYSIS, 2012,
  • [36] Computing Stability of Differential Equations with Bounded Distributed Delays
    T. Luzyanina
    K. Engelborghs
    D. Roose
    Numerical Algorithms, 2003, 34 : 41 - 66
  • [37] Stability of nonautonomous difference equations with several delays
    A. Yu. Kulikov
    V. V. Malygina
    Russian Mathematics, 2008, 52 (3) : 15 - 23
  • [38] Stability of Nonautonomous Difference Equations with Several Delays
    Kulikov, A. Yu.
    Malygina, V. V.
    RUSSIAN MATHEMATICS, 2008, 52 (03) : 15 - 23
  • [39] Stability Analysis of Linear Conformable Fractional Differential Equations System with Time Delays
    Mohammadnezhad, Vahid
    Eslami, Mostafa
    Rezazadeh, Hadi
    BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2020, 38 (06): : 159 - 171
  • [40] Finite-Time Stability of Impulsive Fractional Differential Equations with Pure Delays
    Xie, Tingting
    Li, Mengmeng
    AXIOMS, 2023, 12 (12)
12345