Stability of rate control system with time-varying communication delays

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dc.contributor.authorLa, Richard J.en_US
dc.contributor.authorRanjan, Priyaen_US
dc.contributor.departmentISRen_US
dc.contributor.departmentCSHCNen_US
dc.date.accessioned2007-05-23T10:15:25Z
dc.date.available2007-05-23T10:15:25Z
dc.date.issued2004en_US
dc.description.abstractWe 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.en_US
dc.format.extent772125 bytes
dc.format.mimetypeapplication/pdf
dc.identifier.urihttp://hdl.handle.net/1903/6442
dc.language.isoen_USen_US
dc.relation.ispartofseriesISR; TR 2004-31en_US
dc.relation.ispartofseriesCSHCN; TR 2004-16en_US
dc.subjectGlobal Communication Systemsen_US
dc.titleStability of rate control system with time-varying communication delaysen_US
dc.typeTechnical Reporten_US

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