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Nonlinear state-dependent delay modeling and stability analysis of internet congestion control
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Optimization and Systems Theory. KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre.
KTH, School of Electrical Engineering (EES), Automatic Control. KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre. (System Identification Group)ORCID iD: 0000-0002-9368-3079
KTH, School of Electrical Engineering (EES), Automatic Control. KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre.ORCID iD: 0000-0001-9940-5929
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Optimization and Systems Theory. KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre.
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2010 (English)In: 49TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 2010, 1484-1491 p.Conference paper, Published paper (Refereed)
Abstract [en]

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.
Keyword [en]
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
National Category
Control Engineering Communication Systems
Research subject
SRA - ICT
Identifiers
URN: urn:nbn:se:kth:diva-60510DOI: 10.1109/CDC.2010.5717857ISI: 000295049101118ISBN: 978-1-4244-7746-3 (print)OAI: oai:DiVA.org:kth-60510DiVA: diva2:478588
Conference
2010 49th IEEE Conference on Decision and Control, CDC 2010; Atlanta, GA; 15 December 2010 through 17 December 2010
Note
QC 20120131Available from: 2012-01-16 Created: 2012-01-13 Last updated: 2013-09-09Bibliographically approved

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Hjalmarsson, HåkanJohansson, Karl H.Karlsson, GunnarSandberg, Henrik

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Briat, CorentinHjalmarsson, HåkanJohansson, Karl H.Jönsson, UlfKarlsson, GunnarSandberg, Henrik
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Optimization and Systems TheoryACCESS Linnaeus CentreAutomatic ControlCommunication Networks
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