A characterization of delay independent stability for linear off-diagonal delay difference equations

被引:1
|
作者
Do, Duc Thuan [1 ]
Doan, Thai Son [2 ]
Le, Viet Cuong [3 ]
机构
[1] Hanoi Univ Sci & Technol, Sch Appl Math & Informat, 01 Dai Co Viet Str, Hanoi, Vietnam
[2] Vietnam Acad Sci & Technol, Inst Math, 18 Hoang Quoc Viet Rd, Hanoi, Vietnam
[3] Hanoi Univ Civil Engn, Dept Informat Technol, 55 Giai Phong Str, Hanoi, Vietnam
关键词
Delay difference equations; Stability; Lotka-Volterra equations; GLOBAL ATTRACTIVITY; NEURAL-NETWORKS; SYSTEMS; SUFFICIENT;
D O I
10.1016/j.sysconle.2022.105428
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this paper, we consider linear off-diagonal difference equations of the form xi(k + 1) = n-ary sumation n j=1 aijxj(k -& UTau;ij), for i=1, ...,n, (1) where A = (aij)111). As an application, we establish a criterion for delay independent stability for an equilibrium of a discrete-time Lotka-Volterra equation.(c) 2022 Elsevier B.V. All rights reserved.
引用
收藏
页数:6
相关论文
共 50 条
  • [1] STABILITY CRITERIA FOR A CLASS OF LINEAR DIFFERENTIAL EQUATIONS WITH OFF-DIAGONAL DELAYS
    Suzuki, Masakatsu
    Matsunaga, Hideaki
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2009, 24 (04) : 1381 - 1391
  • [2] Exact stability sets for a linear difference system with diagonal delay
    Matsunaga, Hideaki
    Hajiri, Chikako
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 369 (02) : 616 - 622
  • [3] Positivity and stability analysis for linear implicit difference delay equations
    Sau, Nguyen H.
    Niamsup, P.
    Phat, Vu N.
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2016, 510 : 25 - 41
  • [4] STABILITY IN TOTALLY NONLINEAR DELAY DIFFERENCE EQUATIONS
    Ardjouni, Abdelouaheb
    Djoudi, Ahcene
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2016, 6 (02): : 350 - 366
  • [5] Stability of stochastic singular difference equations with delay
    Tinh, Cao Thanh
    Thuan, Do Duc
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2023, 54 (05) : 1004 - 1014
  • [6] Delay-Difference Equations and Stability
    Barreira, Luis
    Valls, Claudia
    JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2025, 37 (01) : 95 - 113
  • [7] Strong Stability Analysis of Linear Delay-Difference Equations With Multiple Time Delays
    Song, Yunxia
    Michiels, Wim
    Zhou, Bin
    Duan, Guang-Ren
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2021, 66 (08) : 3741 - 3748
  • [8] Further remarks on asymptotic stability and set invariance for linear delay-difference equations
    Stankovic, Nikola
    Olaru, Sorin
    Niculescu, Silviu-Iulian
    AUTOMATICA, 2014, 50 (08) : 2191 - 2195
  • [9] The oscillation and stability of delay partial difference equations
    Zhang, BG
    Agarwal, RP
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2003, 45 (6-9) : 1253 - 1295
  • [10] Stability of Difference-Integral Delay Equations
    Li, Hongfei
    Zhang, Lijun
    PROCEEDINGS OF THE 39TH CHINESE CONTROL CONFERENCE, 2020, : 874 - 879