• DocumentCode
    2242139
  • Title

    Boundary feedback control and Lyapunov stability analysis for physical networks of 2×2 hyperbolic balance laws

  • Author

    Bastin, Georges ; Coron, Jean-Michel ; Andréa-Novel, Brigitte D.

  • Author_Institution
    Dept. of Math. Eng., Univ. catholique de Louvain, Louvain-la-Neuve, Belgium
  • fYear
    2008
  • fDate
    9-11 Dec. 2008
  • Firstpage
    1454
  • Lastpage
    1458
  • Abstract
    Sufficient dissipative boundary conditions are given for the exponential stability of equilibria in physical networks of 2 × 2 nonlinear hyperbolic balance laws under boundary feedback control. The analysis relies on the use of an explicit strict Lyapunov function.
  • Keywords
    Lyapunov methods; asymptotic stability; feedback; hyperbolic equations; interconnected systems; partial differential equations; Lyapunov function; Lyapunov stability; boundary feedback control; exponential stability; hyperbolic partial differential equation; interconnected system; nonlinear hyperbolic balance law; physical network; sufficient dissipative boundary condition; Boundary conditions; Communication system traffic control; Feedback control; Isothermal processes; Lyapunov method; Partial differential equations; Pipelines; Roads; Stability; Steady-state;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 2008. CDC 2008. 47th IEEE Conference on
  • Conference_Location
    Cancun
  • ISSN
    0191-2216
  • Print_ISBN
    978-1-4244-3123-6
  • Electronic_ISBN
    0191-2216
  • Type

    conf

  • DOI
    10.1109/CDC.2008.4738857
  • Filename
    4738857
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2242139