Global Stability Analysis for an Internet Congestion Control Model with a Time-Varying Link Capacity
Networking and Internet Architecture
2009-06-29 v1 Performance
Abstract
In this paper, a global stability analysis is given for a rate-based congestion control system modeled by a nonlinear delayed differential equation. The model determines the dynamics of a single-source single-link network, with a time-varying capacity of link and a fixed communication delay. We obtain a sufficient delay-independent conditions on system parameters under which global asymptotic stability of the system is guarantied. The proof is based on an extension of Lyapunov-Krasovskii theorem for a class of nonlinear time-delay systems. The numerical simulations for a typical scenario justify the theoretical results.
Cite
@article{arxiv.0906.4834,
title = {Global Stability Analysis for an Internet Congestion Control Model with a Time-Varying Link Capacity},
author = {B. Rezaie and MR. Jahed Motlagh and M. Analoui and S. Khorsandi},
journal= {arXiv preprint arXiv:0906.4834},
year = {2009}
}
Comments
5 pages, International Journal of Computer Science and Information Security, IJCSIS