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    Stability of rate control system with time-varying communication delays

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    TR_2004-31.pdf (754.0Kb)
    No. of downloads: 713

    Date
    2004
    Author
    La, Richard J.
    Ranjan, Priya
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    Abstract
    We adopt the optimization framework for the rate allocation problem proposed by Kelly and investigate the stability of the system with arbitrary communication delays between network elements with time-varying queue dynamics. We first present the conditions for the existence of a solution of the system. Second, we establish the conditions for the system stability with arbitrary delays for a family of popular utility and price functions, and then extend the results to more general utility and price functions. We demonstrate that the stability of such a system can be studied by considering a discrete time system derived from a simpler homogeneous delay case where all users have the same fixed delay. Numerical examples are provided to validate our analyses.
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    http://hdl.handle.net/1903/6442
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    • Institute for Systems Research Technical Reports

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    DRUM is brought to you by the University of Maryland Libraries
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