• DocumentCode
    404118
  • Title

    Remarks on the stability of a class of TCP-like congestion control models

  • Author

    Mazenc, Frédéric ; Niculescu, Silviu-Iulian

  • Author_Institution
    INRIA Lorraine, Metz, France
  • Volume
    6
  • fYear
    2003
  • fDate
    9-12 Dec. 2003
  • Firstpage
    5591
  • Abstract
    This note addresses the global asymptotic stability of a class of nonlinear dynamical systems including delays in their representations. These systems are encountered in the modelling of the congestion control mechanisms for the Internet [F. Kelly, 2001], [S. Deb, et al., 2002]. The analysis makes use of some appropriate Lyapunov-Krasovskii functionals. The derived conditions are simple, and easy to check.
  • Keywords
    Internet; Lyapunov methods; delays; nonlinear control systems; stability; telecommunication congestion control; transport protocols; Internet; Lyapunov-Krasovskii functionals; TCP-like congestion control models; congestion control mechanisms; delays; global asymptotic stability; nonlinear dynamical systems; Asymptotic stability; Control systems; Delay effects; Internet; Shape; Stability analysis; Upper bound;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 2003. Proceedings. 42nd IEEE Conference on
  • ISSN
    0191-2216
  • Print_ISBN
    0-7803-7924-1
  • Type

    conf

  • DOI
    10.1109/CDC.2003.1271892
  • Filename
    1271892