• DocumentCode
    3529845
  • Title

    A new H2-norm Lyapunov function for the stability of a singularly perturbed system of two conservation laws

  • Author

    Ying Tang ; Prieur, Christophe ; Girard, Antoine

  • Author_Institution
    Dept. of Autom. Control, Gipsa-Lab., Grenoble, France
  • fYear
    2013
  • fDate
    10-13 Dec. 2013
  • Firstpage
    3026
  • Lastpage
    3031
  • Abstract
    In this paper a class of singularly perturbed system of conservation laws is considered. The partial differential equations are equipped with boundary conditions which may be studied to derive the exponential stability. Lyapunov stability technique is used to derive sufficient conditions for the exponential stability of this system. A Lyapunov function in H2-norm for a singularly perturbed system of conservation laws is constructed. It is based on the Lyapunov functions of two subsystems in L2-norm.
  • Keywords
    Lyapunov methods; asymptotic stability; partial differential equations; singularly perturbed systems; H2-norm Lyapunov function; Lyapunov stability technique; boundary condition; conservation laws; exponential stability; partial differential equation; singularly perturbed system stability;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control (CDC), 2013 IEEE 52nd Annual Conference on
  • Conference_Location
    Firenze
  • ISSN
    0743-1546
  • Print_ISBN
    978-1-4673-5714-2
  • Type

    conf

  • DOI
    10.1109/CDC.2013.6760343
  • Filename
    6760343
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3529845