On Designing Lyapunov-Krasovskii Based AQM for Routers Supporting TCP Flows

Details On Designing Lyapunov-Krasovskii Based AQM for Routers Supporting TCP Flows On Designing Lyapunov-Krasovskii Based AQM for Routers Supporting TCP Flows

2009-02-05

arxiv.org/abs/0902.0922v1

46th IEEE Conference on Decision and Control, New Orleans : \'Etats-Unis d'Am\'erique (2007)

Computer Science

Networking and Internet Architecture

Scientific paper

10.1109/CDC.2007.4434673

For the last few years, we assist to a growing interest of designing AQM (Active Queue Management) using control theory. In this paper, we focus on the synthesis of an AQM based on the Lyapunov theory for time delay systems. With the help of a recently developed Lyapunov-Krasovskii functional and using a state space representation of a linearized fluid model of TCP, two robust AQMs stabilizing the TCP model are constructed. Notice that our results are constructive and the synthesis problem is reduced to a convex optimization scheme expressed in terms of linear matrix inequalities (LMIs). Finally, an example extracted from the literature and simulations via {\it NS simulator} support our study.

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