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The purpose of this paper is to design a congestion controller for Networks TCP/IP Routers, while the available link bandwidth is modeled as a time-variant disturbance. Considering the new uncertain TCP flow model, a memoryless H∞ robust controller is designed to guarantee the stability and performance under time-varying network conditions. The controller parameters are obtained through standard linear matrix inequality techniques. A numerical example illustrates the effectiveness of our methodology, which advances the previous related works towards less conservative results.