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

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 timevarying 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 LyapunovKrasovskii theorem for a class of nonlinear time-delay systems. The numerical simulations for a typical scenario justify the theoretical results. KeywordsInternet congestion control; global stability; timevarying capacity; nonlinear time-delay system.