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

@article{Briat2010NonlinearSD,
  title={Nonlinear state-dependent delay modeling and stability analysis of internet congestion control},
  author={Corentin Briat and H{\aa}kan Hjalmarsson and Karl Henrik Johansson and Ulf T. J{\"o}nsson and Gunnar Karlsson and Henrik Sandberg},
  journal={49th IEEE Conference on Decision and Control (CDC)},
  year={2010},
  pages={1484-1491}
}
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… CONTINUE READING
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