On the use of SoS methods for analysis of connection-level stability in the internet

Ashvin Lakshmikantha, C. L. Beck, R. Srikant

Research output: Contribution to journalConference article


We study connection-level models of file transfer requests in the Internet, where connection arrivals to each route occur according to Poisson processes and the file-sizes have phase-type distributions. We investigate the use of the Sum-of-Squares technique to construct Lyapunov functions that satisfy Foster's condition for stochastic stability.

Original languageEnglish (US)
Article numberThB13.4
Pages (from-to)2705-2708
Number of pages4
JournalProceedings of the American Control Conference
StatePublished - Sep 1 2005
Event2005 American Control Conference, ACC - Portland, OR, United States
Duration: Jun 8 2005Jun 10 2005


ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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