• DocumentCode
    3435294
  • Title

    Bounded real lemma for nonhomogeneous Markovian jump linear systems

  • Author

    Aberkane, Samir

  • Author_Institution
    CRAN, Univ. Henri Poincare, Nancy 1, Vandœuvre-lès- Nancy, France
  • fYear
    2011
  • fDate
    12-15 Dec. 2011
  • Firstpage
    4692
  • Lastpage
    4697
  • Abstract
    In this note, a bounded real lemma is established for discrete-time Markov jump linear systems with nonhomogeneous finite state Markov chain. Different cases, depending on the time variation character of the transition probabilities (TPs), are considered. Namely, arbitrary variation and periodic variation.
  • Keywords
    Markov processes; discrete time systems; linear systems; arbitrary variation; bounded real lemma; discrete-time Markov jump linear system; nonhomogeneous finite state Markov chain; periodic variation; time variation character; transition probability; Bismuth; Conferences; Eigenvalues and eigenfunctions; Linear systems; Markov processes; Riccati equations; Symmetric matrices;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control and European Control Conference (CDC-ECC), 2011 50th IEEE Conference on
  • Conference_Location
    Orlando, FL
  • ISSN
    0743-1546
  • Print_ISBN
    978-1-61284-800-6
  • Electronic_ISBN
    0743-1546
  • Type

    conf

  • DOI
    10.1109/CDC.2011.6160918
  • Filename
    6160918
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3435294