• DocumentCode
    25468
  • Title

    A Constructive Approach to Linear Lyapunov Functions for Positive Switched Systems Using Collatz-Wielandt Sets

  • Author

    Thai Son Doan ; Kalauch, A. ; Siegmund, Stefan

  • Author_Institution
    Inst. of Math., Hanoi, Vietnam
  • Volume
    58
  • Issue
    3
  • fYear
    2013
  • fDate
    Mar-13
  • Firstpage
    748
  • Lastpage
    751
  • Abstract
    We establish the link between linear Lyapunov functions for positive switched systems and corresponding Collatz-Wielandt sets. This leads to an algorithm to compute a linear Lyapunov function whenever a Lyapunov function exists.
  • Keywords
    Lyapunov methods; linear systems; time-varying systems; Collatz-Wielandt set; constructive approach; linear Lyapunov function; positive switched system; Eigenvalues and eigenfunctions; Lyapunov methods; Standards; Switched systems; Tin; Vectors; Collatz–Wielandt set; linear Lyapunov function; positive switched system;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.2012.2209270
  • Filename
    6243177
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=25468