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Global Stability Analysis of an End-to-End Congestion Control Scheme for General Topology Networks with Delay 1
 

Summary: Global Stability Analysis of an End-to-End Congestion Control
Scheme for General Topology Networks with Delay 1
Tansu Alpcan and Tamer Bas¸ar
Coordinated Science Laboratory, University of Illinois
1308 West Main Street, Urbana, IL 61801 USA
(alpcan, tbasar)@control.csl.uiuc.edu
Abstract-- We analyze the stability properties of an end-to-end
congestion control scheme under fixed heterogeneous delays, and
for general network topologies. The scheme analyzed is based
on the congestion control game of [1], with the starting point
being the unique Nash equilibrium of that game. We prove global
stability of this solution (and hence of the congestion control
algorithm) under a mild symmetricity condition. We further
demonstrate the stability of the algorithm numerically for various
delays, user numbers, and topologies.
I. INTRODUCTION
In communication networks, delays between users and re-
sources of the network are most of the time not negligible.
In the context of the Internet, these delays vary from order
of tens to hundreds of milliseconds, and affect the stability of

  

Source: Alpcan, Tansu - Deutsche Telekom Laboratories & Technische Universität Berlin

 

Collections: Engineering