Absolute Stability of Discrete-Time Systems with Delay

被引：0
|
作者：
Rigoberto Medina
机构：
[1] Universidad de Los Lagos,Departamento de Ciencias Exactas
来源：
Advances in Difference Equations | / 2008卷
关键词：
Lyapunov Function; Homogeneous Equation; Absolute Stability; Linear Delay; Cauchy Function;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We investigate the stability of nonlinear nonautonomous discrete-time systems with delaying arguments, whose linear part has slowly varying coefficients, and the nonlinear part has linear majorants. Based on the "freezing" technique to discrete-time systems, we derive explicit conditions for the absolute stability of the zero solution of such systems.
引用
收藏
相关论文
共 50 条
  • [1] Absolute stability of discrete-time systems with delay
    Medina, Rigoberto
    ADVANCES IN DIFFERENCE EQUATIONS, 2008, 2008 (1)
  • [2] ABSOLUTE STABILITY OF SYSTEMS WITH DISCRETE-TIME
    KRASNOSELSKII, MA
    POKROVSKII, AV
    AUTOMATION AND REMOTE CONTROL, 1978, 39 (02) : 189 - 199
  • [3] Robust absolute stability of discrete-time systems
    Ekanayake, MM
    Premaratne, K
    Jury, EI
    AUTOMATION AND REMOTE CONTROL, 1999, 60 (03) : 376 - 392
  • [4] Stability of positive discrete-time systems with time-delay
    Kaczorek, T
    8TH WORLD MULTI-CONFERENCE ON SYSTEMICS, CYBERNETICS AND INFORMATICS, VOL IX, PROCEEDINGS: COMPUTER SCIENCE AND ENGINEERING: I, 2004, : 321 - 324
  • [5] Stability, observers and compensators for discrete-time delay systems
    Karrakchou, J
    Lahmidi, F
    Namir, A
    Rachik, M
    SYSTEMS MODELLING AND OPTIMIZATION, 1999, 396 : 71 - 79
  • [6] Note on stability of discrete-time time-varying delay systems
    Liu, J.
    Zhang, J.
    IET CONTROL THEORY AND APPLICATIONS, 2012, 6 (02): : 335 - 339
  • [7] Exponential Stability and Stabilization for Quadratic Discrete-Time Systems with Time Delay
    Chen, Fu
    Kang, Shugui
    Qiao, Shidong
    Guo, Caixia
    ASIAN JOURNAL OF CONTROL, 2018, 20 (01) : 276 - 285
  • [8] Robust stability analysis of discrete-time linear systems with time delay
    Ren, ZY
    Zhang, H
    Shao, HH
    PROCEEDINGS OF THE 2003 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 2003, : 4840 - 4844
  • [9] Stability analysis for discrete-time switched time-delay systems
    Zhang, Wen-An
    Yu, Li
    AUTOMATICA, 2009, 45 (10) : 2265 - 2271
  • [10] Delay-dependent stability of discrete-time interconnected systems
    Chang X.
    Tian G.
    Zhu X.
    Journal of Control Theory and Applications, 2010, 8 (4): : 464 - 470
12345