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  • TITLE: Nonlinear Stability Analysis for a Class of TCP/AQM Networks
  • AUTHOR: C.V. Hollot and Y. Chait
  • ABSTRACT: Recent work has shown the benefit of using proportional feedback in TCP/AQM networks. By proportional feedback we mean the marking probability is proportional to the instantaneous queue length. Our earlier work relied on linearization of nonlinear fluid-flow models of TCP. In this work we address these non-linearities directly and establish some stability results when the marking is proportional. In the case of delay-free marking, we show the systems equilibrium point to be asymptotically stable for all proportional gains. In the more realistic case of delayed feedback, we establish local asymptotic stability and quantify a region of attraction.
  • STATUS: IEEE Conference on Decision and Control, pp. 2309-2314, Orlando,
    2001.
  • DATE OF ENTRY: Feb. 24, 2003.
  • full paper: (.pdf, 224 kb)

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Last Updated: February 28, 2003

Copyright & COPY; 2001 University of Massachusetts, Amherst. Produced and maintained by the University of Massachusetts, Mechanical Engineering department. Comments to: chait@ecs.umass.edu. This is an official page of the Mechanical & Industrial Engineering Department. Updated: Spring, 2001.