• DocumentCode
    697356
  • Title

    Some aspects of stability in continuous time linear infinite Markov jump parameter systems

  • Author

    Fragoso, Marcelo D. ; Baczynski, Jack

  • Author_Institution
    Dept. of Syst. & Control, Lab. Nac. de Comput. Cienc. - LNCC, Petropolis, Brazil
  • fYear
    2001
  • fDate
    4-7 Sept. 2001
  • Firstpage
    2088
  • Lastpage
    2091
  • Abstract
    We deal with linear systems with Markovian Jump Parameters (LSMJP). Most of the literature on this matter adopts a finite state space for the Markov chain. In this paper we focus on the countably infinite state space case showing that, unlike the finite state space case (see [8]), two important concepts in optimal control theory, namely, stochastic stability (SS) and mean square stability (MSS) are no longer equivalent in this setting.
  • Keywords
    Markov processes; continuous time systems; linear systems; optimal control; stability; state-space methods; stochastic systems; LSMJP; MSS; Markov chain; SS; continuous time linear infinite systems; infinite state space; linear systems with Markovian jump parameters; mean square stability; optimal control theory; stochastic stability; Aerospace electronics; Linear systems; Markov processes; Optimal control; Stability analysis; Trajectory; continuous time; infinite Markov chain; jump parameter; linear system; optimal control; stability;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Control Conference (ECC), 2001 European
  • Conference_Location
    Porto
  • Print_ISBN
    978-3-9524173-6-2
  • Type

    conf

  • Filename
    7076230