Global Stability Analysis for an Internet Congestion Control Model with a Time-Varying Link Capacity

Details Global Stability Analysis for an Internet Congestion Control Model with a Time-Varying Link Capacity Global Stability Analysis for an Internet Congestion Control Model with a Time-Varying Link Capacity

2009-06-26

arxiv.org/abs/0906.4834v1

IJCSIS June 2009 Issue, Vol. 2, No. 1

Computer Science

Networking and Internet Architecture

5 pages, International Journal of Computer Science and Information Security, IJCSIS

Scientific paper

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.

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