Global stability conditions for rate control with arbitrary communication delays

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dc.contributor.authorLa, Richard J.en_US
dc.contributor.authorRanjan, Priyaen_US
dc.contributor.authorAbed, Eyad H.en_US
dc.contributor.departmentISRen_US
dc.contributor.departmentCSHCNen_US
dc.date.accessioned2007-05-23T10:14:44Z
dc.date.available2007-05-23T10:14:44Z
dc.date.issued2003en_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. It is shown that there is a natural underlying discrete time system whose stability is directly related to the stability of the given system. We first present general stability conditions of the system with arbitrary delays, and then apply these results to establish the stability of the system with a family of popular utility and resource price functions. The exponential stability of the system with the given utility and resource price functions is established. We also investigate discretized models that better approximate the packet level dynamics of the system and show that similar stability conditions can be obtained. Numerical examples are provided to validate our analyses.en_US
dc.format.extent480446 bytes
dc.format.mimetypeapplication/pdf
dc.identifier.urihttp://hdl.handle.net/1903/6407
dc.language.isoen_USen_US
dc.relation.ispartofseriesISR; TR 2003-53en_US
dc.relation.ispartofseriesCSHCN; TR 2003-25en_US
dc.subjectGlobal Communication Systemsen_US
dc.titleGlobal stability conditions for rate control with arbitrary communication delaysen_US
dc.typeTechnical Reporten_US

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