Stability Analysis of Uncertain Discrete-Time Piecewise Linear Systems with Time Delays

被引:0
|
作者
Ou Ou is with College of Information Engineering
机构
关键词
Discrete-time; linear matrix inequalities; piecewise linear systems; stability; time-delay systems;
D O I
暂无
中图分类号
TP11 [自动化系统理论];
学科分类号
0711 ; 071102 ; 0811 ; 081101 ; 081103 ;
摘要
This paper considers the stability analysis of uncertain discrete-time piecewise linear systems with time delays based on piecewise Lyapunov-Krasovskii functionals. It is shown that the stability can be established for the control systems if there is a piecewise Lyapunov-Krasovskii functional, and moreover, the functional can be obtained by solving a set of linear matrix inequalities (LMIs) that are numerically feasible. A numerical example is given to demonstrate the efficiency and advantage of the proposed method.
引用
收藏
页码:254 / 257
页数:4
相关论文
共 50 条
  • [31] Analysis and Control of Discrete-Time Piecewise Linear Time-Delay Systems
    Xu, Mei-Jin
    Zhao, Yan
    Deng, Wei
    CCDC 2009: 21ST CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-6, PROCEEDINGS, 2009, : 357 - +
  • [32] Regional Stability Analysis of Discrete-Time Piecewise Affine Systems
    Cabral, Leonardo
    Valmorbida, Giorgio
    da Silva Jr, Joao Manoel Gomes
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2025, 70 (04) : 2507 - 2520
  • [33] Exponential stability of uncertain discrete-time large-scale systems with delays
    Yuan, F.
    Yao, H.
    Advances in Modelling and Analysis C, 2007, 62 (1-2): : 30 - 42
  • [34] Simple stability conditions for linear positive discrete-time systems with delays
    Buslowicz, M.
    BULLETIN OF THE POLISH ACADEMY OF SCIENCES-TECHNICAL SCIENCES, 2008, 56 (04) : 325 - 328
  • [35] Separation in stability analysis of piecewise linear systems in discrete time
    Lee, Ji-Woong
    HYBRID SYSTEMS: COMPUTATION AND CONTROL, 2008, 4981 : 626 - 629
  • [36] STABILITY MARGINS FOR DISCRETE-TIME UNCERTAIN SYSTEMS
    AGUIRRE, G
    CHAPELLAT, H
    BHATTACHARYYA, SP
    PROCEEDINGS OF THE 28TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-3, 1989, : 1874 - 1875
  • [37] ON STABILITY OF LINEAR DISCRETE-TIME SYSTEMS
    VONGPANITLERD, S
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1969, AC14 (02) : 207 - +
  • [38] Robust Stability Analysis for Uncertain Switched Discrete-Time Systems
    Dong, Yali
    JOURNAL OF APPLIED MATHEMATICS, 2011,
  • [39] Delay-dependent stability for uncertain discrete-time systems with time-varying delay by a piecewise analysis approach
    Zhang, Lei
    Liu, He-Ping
    Liao, Fu-Cheng
    Beijing Keji Daxue Xuebao/Journal of University of Science and Technology Beijing, 2010, 32 (07): : 952 - 956
  • [40] OPTIMIZATION OF LINEAR DISCRETE-TIME SYSTEMS WITH RANDOM TIME DELAYS
    KOIVO, AJ
    HENDRICKS, CL
    IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS, 1972, SMC2 (01): : 86 - +