• DocumentCode
    2846405
  • Title

    Stability and stabilizability of special classes of discrete-time positive switched systems

  • Author

    Fornasini, E. ; Valcher, M.E.

  • Author_Institution
    Dipt. di Ing. dell´Inf., Univ. di Padova, Padova, Italy
  • fYear
    2011
  • fDate
    June 29 2011-July 1 2011
  • Firstpage
    2619
  • Lastpage
    2624
  • Abstract
    In this paper we consider discrete-time positive switched systems, switching among autonomous subsystems, characterized either by cyclic monomial matrices or by circulant matrices. For these two classes of systems, some interesting necessary and sufficient conditions for stability and stabilizability are provided. Such conditions lead to simple algorithms that allow to easily detect whether a given positive switched system is not stabilizable.
  • Keywords
    discrete time systems; matrix algebra; stability; time-varying systems; autonomous subsystem; circulant matrix; cyclic monomial matrix; discrete-time positive switched system; stability; stabilizability; Asymptotic stability; Lyapunov methods; Stability criteria; Switched systems; Switches; Symmetric matrices;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    American Control Conference (ACC), 2011
  • Conference_Location
    San Francisco, CA
  • ISSN
    0743-1619
  • Print_ISBN
    978-1-4577-0080-4
  • Type

    conf

  • DOI
    10.1109/ACC.2011.5990765
  • Filename
    5990765