• DocumentCode
    2829865
  • Title

    Hopf bifurcation in TCP/adaptive RED

  • Author

    Marquez, Richard

  • Author_Institution
    Sect. de Mecatronica, Mexico
  • fYear
    2007
  • fDate
    12-14 Dec. 2007
  • Firstpage
    5684
  • Lastpage
    5689
  • Abstract
    Conditions in terms of adaptation parameter gamma and low-pass filter parameter omegaq are given for the occurrence of a supercritical Hopf bifurcation of a TCP/adaptive RED model. We show the existence of asymptotically stable limit cycles in the closed-loop nonlinear system. We relate our results to the existing adaptive RED algorithms of (Feng et al., A Self Configuring RED Gateway, Infocom, 1999) and (Floyd et al., Adaptive RED). Predicted theoretical results are confirmed by numerical simulations, carried out by using Simnon and network simulator 2.
  • Keywords
    Internet; asymptotic stability; bifurcation; closed loop systems; low-pass filters; nonlinear control systems; telecommunication congestion control; transport protocols; Hopf bifurcation; TCP/adaptive RED; asymptotic stability; closed-loop nonlinear system; congestion control mechanisms; low-pass filter parameter; random early detection; Adaptive control; Adaptive filters; Bifurcation; Differential equations; Programmable control; Protocols; Robustness; Telecommunication traffic; Tuning; USA Councils;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 2007 46th IEEE Conference on
  • Conference_Location
    New Orleans, LA
  • ISSN
    0191-2216
  • Print_ISBN
    978-1-4244-1497-0
  • Electronic_ISBN
    0191-2216
  • Type

    conf

  • DOI
    10.1109/CDC.2007.4434898
  • Filename
    4434898
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2829865