Global stability of congestion controllers for the internet

Supratim Deb, Rayadurgam Srikant

Research output: Contribution to journalConference article

Abstract

We consider a single link accessed by a single source which responds to congestion signals from the network. The design of controllers for such sources in the presence of feedback delay has received much attention recently. Here we present conditions for the global, asymptotic stability and semi-global exponential stability of congestion controllers which are natural extensions of earlier linearized analysis.of such systems. Our result on exponential stability provides the missing link in the proof of how one obtains a single deterministic congestion control equation from a system with many congestion-controlled sources and random disturbances. Using numerical examples, we compare the conditions on the congestion-control parameters obtained using local and global stability analysis.

Original languageEnglish (US)
Pages (from-to)3626-3631
Number of pages6
JournalProceedings of the IEEE Conference on Decision and Control
Volume4
StatePublished - Dec 1 2002
Event41st IEEE Conference on Decision and Control - Las Vegas, NV, United States
Duration: Dec 10 2002Dec 13 2002

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ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization

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