Exact Stability Analysis of Discrete-Time Linear Systems with Stochastic Delays

被引:0
|
作者
Gomez, Marcella M. [1 ]
Qin, Wubing B.
Orosz, Gabor
Murray, Richard M. [1 ]
机构
[1] CALTECH, Dept Mech Engn, Pasadena, CA 91125 USA
关键词
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper provides analytical results regarding the stability of linear discrete-time systems with stochastic delays. Necessary and sufficient stability conditions are derived by using the second moment dynamics which can be used to draw stability charts. The results are applied to a simple connected vehicle system where the stability regions are compared to those given by the mean dynamics. Our results reveal some fundamental limitations of connected cruise control which becomes more significant as the packet drop ratio increases.
引用
收藏
页码:5534 / 5539
页数:6
相关论文
共 50 条
  • [41] Exact Detectability of Discrete-Time and Continuous-Time Linear Stochastic Systems: A Unified Approach
    Dragan, Vasile
    Costa, Eduardo Fontoura
    Popa, Ioan-Lucian
    Aberkane, Samir
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2022, 67 (11) : 5730 - 5745
  • [42] Stability and Robust Stability of Discrete-Time Switched Systems with Delays
    Thipcha, J.
    Niamsup, P.
    [J]. THAI JOURNAL OF MATHEMATICS, 2008, 6 (03): : 1 - 13
  • [43] OPTIMIZATION OF LINEAR DISCRETE-TIME SYSTEMS WITH RANDOM TIME DELAYS
    KOIVO, AJ
    HENDRICKS, CL
    [J]. IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS, 1972, SMC2 (01): : 86 - +
  • [44] STABILITY AND PASSIVITY ANALYSIS OF UNCERTAIN LINEAR DISCRETE-TIME SYSTEMS WITH MIXED INTERVAL TIME-VARYING DELAYS
    Tangsiridamrong, Presarin
    Mukdasai, Kanit
    [J]. DYNAMIC SYSTEMS AND APPLICATIONS, 2019, 28 (02): : 461 - 490
  • [45] Stability of discrete-time systems with time-varying delays
    Ekanayake, MM
    Premaratne, K
    Douligeris, C
    Bauer, PH
    [J]. PROCEEDINGS OF THE 2001 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 2001, : 3914 - 3919
  • [46] Robust stability analysis of discrete-time linear systems with time delay
    Ren, ZY
    Zhang, H
    Shao, HH
    [J]. PROCEEDINGS OF THE 2003 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 2003, : 4840 - 4844
  • [48] EXACT DISCRETE-TIME MODELING OF LINEAR ANALOG SYSTEMS
    SHATS, S
    SHAKED, U
    [J]. INTERNATIONAL JOURNAL OF CONTROL, 1989, 49 (01) : 145 - 160
  • [49] A Computational Stability Analysis of Discrete-Time Piecewise Linear Systems
    Krishnamurthy, Satyajit A.
    Lee, Ji-Woong
    [J]. PROCEEDINGS OF THE 48TH IEEE CONFERENCE ON DECISION AND CONTROL, 2009 HELD JOINTLY WITH THE 2009 28TH CHINESE CONTROL CONFERENCE (CDC/CCC 2009), 2009, : 1106 - 1111
  • [50] Stability analysis for switched discrete-time linear singular systems
    Pham Ky Anh
    Pham Thi Linh
    Do Duc Thuan
    Trenn, Stephan
    [J]. AUTOMATICA, 2020, 119