@inproceedings{854f3ad9d3204e6c8025d0b06c37773c,
title = "Global Stability Analysis of an End-to-End Congestion Control Scheme for General Topology Networks with Delay",
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.",
author = "Tansu Alpcan and Tamer Ba{\c s}ar",
year = "2003",
doi = "10.1109/CDC.2003.1272713",
language = "English (US)",
isbn = "0780379241",
series = "Proceedings of the IEEE Conference on Decision and Control",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "1092--1097",
booktitle = "Proceedings of the IEEE Conference on Decision and Control",
address = "United States",
note = "42nd IEEE Conference on Decision and Control ; Conference date: 09-12-2003 Through 12-12-2003",
}