• DocumentCode
    1233852
  • Title

    Global Stability Analysis of a Nonlinear Model of Internet Congestion Control With Delay

  • Author

    Peet, Matthew ; Lall, Sanjay

  • Author_Institution
    INRIA
  • Volume
    52
  • Issue
    3
  • fYear
    2007
  • fDate
    3/1/2007 12:00:00 AM
  • Firstpage
    553
  • Lastpage
    559
  • Abstract
    We address global stability of a model for the TCP/AQM congestion control protocol. This model represents the dynamics of a single link and single source, and consists of a nonlinear differential equation with a time-delay. We make use of absolute stability theory and integral-quadratic constraints to give conditions under which the dynamics are globally asymptotically stable
  • Keywords
    Internet; asymptotic stability; delays; nonlinear differential equations; telecommunication congestion control; transport protocols; Internet congestion control; TCP/AQM congestion control protocol; global asymptotic stability analysis; integral-quadratic constraints; nonlinear differential equation; time-delay; Aerodynamics; Algorithm design and analysis; Asymptotic stability; Constraint theory; Delay; Differential equations; IP networks; Internet; Protocols; Stability analysis; Delay; Internet congestion control; integral quadratic constraints; nonlinear; stability;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.2007.892379
  • Filename
    4132918