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Nonlinear state-dependent delay modeling and stability analysis of internet congestion control

Abstract : It is shown that the queuing delay involved in the congestion control algorithm is state-dependent and does not depend on the current time. Then, using an accurate formulation for buffers, networks with arbitrary topologies can be built. At equilibrium, our model reduces to the widely used setup by Paganini et al. Using this model, the delay-derivative is analyzed and it is proved that the delay time-derivative does not exceed one for the considered topologies. It is then shown that the considered congestion control algorithm globally stabilizes a delay-free single buffer network. Finally, using a specific linearization result for systems with state-dependent delays from Cooke and Huang, we show the local stability of the single bottleneck network.
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https://hal.archives-ouvertes.fr/hal-00575213
Contributor : Corentin Briat Connect in order to contact the contributor
Submitted on : Wednesday, March 9, 2011 - 8:51:53 PM
Last modification on : Monday, March 21, 2016 - 5:29:52 PM
Long-term archiving on: : Friday, June 10, 2011 - 3:11:31 AM

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Corentin Briat, Håkan Hjalmarsson, Karl Henrik Johansson, Ulf Jönsson, Gunnar Karlsson, et al.. Nonlinear state-dependent delay modeling and stability analysis of internet congestion control. Conference on Decision and Control, Dec 2010, United States. 8 p. ⟨hal-00575213⟩

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