Nonlinear state-dependent delay modeling and stability analysis of internet congestion control
2010 (English)In: 49TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 2010, 1484-1491 p.Conference paper (Refereed)
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.
Place, publisher, year, edition, pages
2010. 1484-1491 p.
Arbitrary topology, Congestion control algorithm, Delay Time, Internet congestion control, Local stability, Nonlinear state, Queuing delay, Stability analysis, State-dependent, State-dependent delay, Algorithms, Traffic congestion, Topology
Control Engineering Communication Systems
Research subject SRA - ICT
IdentifiersURN: urn:nbn:se:kth:diva-60510DOI: 10.1109/CDC.2010.5717857ISI: 000295049101118ISBN: 978-1-4244-7746-3OAI: oai:DiVA.org:kth-60510DiVA: diva2:478588
2010 49th IEEE Conference on Decision and Control, CDC 2010; Atlanta, GA; 15 December 2010 through 17 December 2010
QC 201201312012-01-162012-01-132013-09-09Bibliographically approved