Asymptotic behavior of internet congestion controllers in a many-flows regime

S Deb, S Shakkottai, R Srikant - Mathematics of Operations …, 2005 - pubsonline.informs.org
Congestion controllers for the Internet are typically designed based on deterministic delay
differential equation models. In this paper, we consider the case of a single link accessed by …

Global stability of congestion controllers for the Internet

S Deb, R Srikant - IEEE Transactions on Automatic Control, 2003 - ieeexplore.ieee.org
We consider a single link accessed by a single source which responds to congestion signals
from the network. The design of controllers for such sources in the presence of feedback …

Stability and convergence of TCP-like congestion controllers in a many-flows regime

S Deb, S Shakkottai, R Srikant - IEEE INFOCOM 2003. Twenty …, 2003 - ieeexplore.ieee.org
With the rapid growth of Internet, parameter design and analysis for large-scale networks
has become a topic of active interest. Since simulation of such large scale systems is not …

Bounds on the throughput of congestion controllers in the presence of feedback delay

S Shakkottai, R Srikant, SP Meyn - IEEE/ACM Transactions on …, 2003 - ieeexplore.ieee.org
We consider decentralized congestion control algorithms for low-loss operation of the
Internet using the ECN bit. There has been much analysis of such algorithms, but with a few …

End-to-end congestion control for the Internet: Delays and stability

R Johari, DKH Tan - IEEE/ACM Transactions on networking, 2001 - ieeexplore.ieee.org
Under the assumption that queueing delays will eventually become small relative to
propagation delays, we derive stability results for a fluid flow model of end-to-end Internet …

Controlling the Internet: A survey and some new results

S Liu, T Basar, R Srikant - … on Decision and Control (IEEE Cat …, 2003 - ieeexplore.ieee.org
In the past, significant progress has been made in the mathematical modelling of congestion
control and congestion feedback mechanisms in the Internet. The resulting models have …

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

C Briat, H Hjalmarsson, KH Johansson… - … IEEE Conference on …, 2010 - ieeexplore.ieee.org
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 …

Boundedness of utility function based congestion controllers in the presence of delay

S Shakkottai, R Srikant, S Meyn - Proceedings of the 40th IEEE …, 2001 - ieeexplore.ieee.org
We consider decentralized congestion control algorithms for low-loss operation of the
Internet using the ECN bit. There has been much analysis of such algorithms, but with a few …

Fairness and stability of end-to-end congestion control

F Kelly - European journal of control, 2003 - Elsevier
In recent years, the Internet has attracted the attention of many theoreticians, eager to
understand the remarkable success of this diverse and complex artefact. A central element …

Effect of buffers on stability of Internet congestion controllers

S Sojoudi, SH Low, JC Doyle - 2011 Proceedings IEEE …, 2011 - ieeexplore.ieee.org
Almost all existing fluid models of congestion control assume that the fluid flow at the output
of a link is the same as the fluid flow at the input of the link. This means that all links in the …