• DocumentCode
    404237
  • Title

    On convergence rates of switched linear systems

  • Author

    Sun, Zhendong ; Shorten, Robert

  • Author_Institution
    Hamilton Inst., Nat. Univ. of Ireland, Maynooth, Ireland
  • Volume
    5
  • fYear
    2003
  • fDate
    9-12 Dec. 2003
  • Firstpage
    4800
  • Abstract
    In this paper, 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 triangularisable switched systems, explicit formulas are presented for the convergence rates in terms of the system eigenvalues.
  • Keywords
    convergence; eigenvalues and eigenfunctions; linear systems; stability; time-varying systems; convergence rates; eigenvalues; stabilization; switched linear systems; triangularisable switched systems; Chaos; Convergence; Eigenvalues and eigenfunctions; Limit-cycles; Linear systems; Polynomials; Rats; Stability; Sun; Switched systems;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 2003. Proceedings. 42nd IEEE Conference on
  • ISSN
    0191-2216
  • Print_ISBN
    0-7803-7924-1
  • Type

    conf

  • DOI
    10.1109/CDC.2003.1272346
  • Filename
    1272346