On convergence rates of simultaneously triangularizable switched linear systems

被引:17
|
作者
Sun, ZD [1 ]
Shorten, R [1 ]
机构
[1] Natl Univ Ireland, Hamilton Inst, Maynooth, Kildare, Ireland
关键词
convergence rate; simultaneous triangularization; switched linear systems; switching path; stability; stabilization;
D O I
10.1109/TAC.2005.852561
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 note, we introduce the concepts of best case and worst-case convergence rates for switched linear systems. Their connections to the problems of stability and stabilization are briefly discussed. For simultaneously triangularizable switched systems, explicit formulas are presented for the convergence rates in terms of the system eigenvalues.
引用
收藏
页码:1224 / 1228
页数:5
相关论文
共 50 条
  • [1] STABILITY OF SIMULTANEOUSLY TRIANGULARIZABLE SWITCHED SYSTEMS ON HYBRID DOMAINS
    Eisenbarth, Geoffrey
    Davis, John M.
    Gravagne, Ian
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2014,
  • [2] On convergence rates of switched linear systems
    Sun, ZD
    Shorten, R
    42ND IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-6, PROCEEDINGS, 2003, : 4800 - 4805
  • [3] Exponential stability of simultaneously triangularizable switched systems with explicit calculation of a common Lyapunov function
    Ibeas, Asier
    de la Sen, Manuel
    APPLIED MATHEMATICS LETTERS, 2009, 22 (10) : 1549 - 1555
  • [4] On the Convergence of Linear Switched Systems
    Serres, Ulysse
    Vivalda, Jean-Claude
    Riedinger, Pierre
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2011, 56 (02) : 320 - 332
  • [5] Exponential Synchronization of Switched Complex Dynamical Networks with Simultaneously Triangularizable Coupling Matrices
    Chen, Chao
    Dimirovski, Georgi M.
    Zhao, Jun
    2010 AMERICAN CONTROL CONFERENCE, 2010, : 4486 - 4491
  • [6] SWITCHED LINEAR SYSTEMS: STABILITY AND THE CONVERGENCE OF RANDOM PRODUCTS
    Hanlon, B.
    Wang, N.
    Egerstedt, M.
    Martin, C.
    COMMUNICATIONS IN INFORMATION AND SYSTEMS, 2011, 11 (04) : 327 - 342
  • [7] Almost sure convergence of observers for switched linear systems
    Tang, Jianliang
    Xiao, Mingqing
    AUTOMATICA, 2018, 96 : 354 - 358
  • [8] Stability of switched linear systems and the convergence of random products
    Wang, N.
    Egerstedt, M.
    Martin, C.
    PROCEEDINGS OF THE 48TH IEEE CONFERENCE ON DECISION AND CONTROL, 2009 HELD JOINTLY WITH THE 2009 28TH CHINESE CONTROL CONFERENCE (CDC/CCC 2009), 2009, : 3721 - 3726
  • [9] Convergence rates for linear elasticity systems on perforated domains
    Wang, Li
    Xu, Qiang
    Zhao, Peihao
    CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2021, 60 (02)
  • [10] Convergence rates for linear elasticity systems on perforated domains
    Li Wang
    Qiang Xu
    Peihao Zhao
    Calculus of Variations and Partial Differential Equations, 2021, 60