Global stability analysis of primal internet congestion control schemes with heterogeneous delays

Antonis Papachristodoulou, Matthew M. Peet

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations

Abstract

The aim of network congestion control for the Internet is to allocate the available bandwidth to the users in a scalable, efficient, fair and distributed fashion. This paper is concerned with the stability properties of a class of such schemes in the presence of heterogeneous delays. In particular, we present a time-domain methodology for scalable, global stability analysis of primal network congestion control schemes for the Internet. The conditions we obtain are delay-dependent and are similar to the ones that were obtained previously based on the analysis of the linearized system. The structure of the dynamics for the sources and links allows the construction of appropriate Lyapunov certificates in a scalable way.

Original languageEnglish (US)
Title of host publicationProceedings of the 17th World Congress, International Federation of Automatic Control, IFAC
Edition1 PART 1
DOIs
StatePublished - Dec 1 2008
Externally publishedYes
Event17th World Congress, International Federation of Automatic Control, IFAC - Seoul, Korea, Republic of
Duration: Jul 6 2008Jul 11 2008

Publication series

NameIFAC Proceedings Volumes (IFAC-PapersOnline)
Number1 PART 1
Volume17
ISSN (Print)1474-6670

Other

Other17th World Congress, International Federation of Automatic Control, IFAC
CountryKorea, Republic of
CitySeoul
Period7/6/087/11/08

Keywords

  • Control of networks
  • Nonlinear systems

ASJC Scopus subject areas

  • Control and Systems Engineering

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  • Cite this

    Papachristodoulou, A., & Peet, M. M. (2008). Global stability analysis of primal internet congestion control schemes with heterogeneous delays. In Proceedings of the 17th World Congress, International Federation of Automatic Control, IFAC (1 PART 1 ed.). (IFAC Proceedings Volumes (IFAC-PapersOnline); Vol. 17, No. 1 PART 1). https://doi.org/10.3182/20080706-5-KR-1001.2405