Global stability analysis about a congestion control scheme for networks with time delay


== Abstract ==

Dimirovski, Georgi M. (Dogus Author) -- Conference full title: 2007 American Control Conference: New York, NY, USA, July 9-13, 2007 In this paper, a congestion control scheme is developed, analyzed and implemented in a noncooperative game framework. By using a network model based on fluid approximations and through a realistic modeling of queues, the existence of a unique equilibrium is established as well as its global asymptotic stability for a general network topology, where boundary effects are also taken into account. The sufficient conditions are also provided for system stability when there is a bottleneck link shared by multiple users experiencing non-negligible communication delays. The theoretic results are meaningful for communication networks. This work is supported by the National Natural Science Foundation of China under Grant 60274009 and Specialized Research Fund for the Doctoral Program of Higher Education under Grant 20020145007.


== Original document ==

The different versions of the original document can be found in:

* [https://hdl.handle.net/11376/2172 https://hdl.handle.net/11376/2172]

* [http://xplorestaging.ieee.org/ielx5/4282134/4282135/04282451.pdf?arnumber=4282451 http://xplorestaging.ieee.org/ielx5/4282134/4282135/04282451.pdf?arnumber=4282451],
: [http://dx.doi.org/10.1109/acc.2007.4282451 http://dx.doi.org/10.1109/acc.2007.4282451]

* [http://yadda.icm.edu.pl/yadda/element/bwmeta1.element.ieee-000004282451 http://yadda.icm.edu.pl/yadda/element/bwmeta1.element.ieee-000004282451],
: [https://doi.org/10.1109/ACC.2007.4282451 https://doi.org/10.1109/ACC.2007.4282451],
: [https://academic.microsoft.com/#/detail/2157525534 https://academic.microsoft.com/#/detail/2157525534]