• DocumentCode
    3159732
  • Title

    Infinite Markov Jump Bounded Real Lemma

  • Author

    Todorov, Marcos G. ; Fragoso, Marcelo D.

  • Author_Institution
    Nat. Lab. for Sci. Comput., Rio de Janeiro
  • fYear
    2007
  • fDate
    9-13 July 2007
  • Firstpage
    317
  • Lastpage
    322
  • Abstract
    A bounded real lemma is established, providing an equivalent condition to stochastic stability (SS) of a continuous- time infinite Markovian jump linear system (MJLS) with a prescribed L2-stochastic disturbance attenuation level gamma in terms of existence of solutions to an infinite set of coupled linear matrix inequalities (LMIs). Besides the interest in its own right, the main result provides a fundamental tool for the development of an Hinfin-like theory devoted to this class of systems.
  • Keywords
    Markov processes; continuous time systems; linear matrix inequalities; linear systems; Hinfin-like theory; L2-stochastic disturbance; Linear Matrix Inequalities; bounded real lemma; continuous- time infinite Markovian jump linear system; stochastic stability; Attenuation; Cities and towns; Control systems; Councils; Linear antenna arrays; Linear systems; Markov processes; State-space methods; Stochastic processes; Stochastic systems;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    American Control Conference, 2007. ACC '07
  • Conference_Location
    New York, NY
  • ISSN
    0743-1619
  • Print_ISBN
    1-4244-0988-8
  • Electronic_ISBN
    0743-1619
  • Type

    conf

  • DOI
    10.1109/ACC.2007.4282217
  • Filename
    4282217
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3159732