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

Antonis Papachristodoulou; Matthew M. Peet

doi:10.3182/20080706-5-KR-1001.2405

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

Antonis Papachristodoulou, Matthew M. Peet

Research output: Chapter in Book/Report/Conference proceeding › Conference 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 language	English (US)
Title of host publication	Proceedings of the 17th World Congress, International Federation of Automatic Control, IFAC
Edition	1 PART 1
DOIs	https://doi.org/10.3182/20080706-5-KR-1001.2405
State	Published - 2008
Externally published	Yes
Event	17th World Congress, International Federation of Automatic Control, IFAC - Seoul, Korea, Republic of Duration: Jul 6 2008 → Jul 11 2008

Publication series

Name	IFAC Proceedings Volumes (IFAC-PapersOnline)
Number	1 PART 1
Volume	17
ISSN (Print)	1474-6670

Other

Other	17th World Congress, International Federation of Automatic Control, IFAC
Country/Territory	Korea, Republic of
City	Seoul
Period	7/6/08 → 7/11/08

Keywords

Control of networks
Nonlinear systems

ASJC Scopus subject areas

Control and Systems Engineering

Access to Document

10.3182/20080706-5-KR-1001.2405

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

Global stability analysis of primal internet congestion control schemes with heterogeneous delays. / Papachristodoulou, Antonis; Peet, Matthew M.
Proceedings of the 17th World Congress, International Federation of Automatic Control, IFAC. 1 PART 1. ed. 2008. (IFAC Proceedings Volumes (IFAC-PapersOnline); Vol. 17, No. 1 PART 1).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Papachristodoulou, A & Peet, MM 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 edn, IFAC Proceedings Volumes (IFAC-PapersOnline), no. 1 PART 1, vol. 17, 17th World Congress, International Federation of Automatic Control, IFAC, Seoul, Korea, Republic of, 7/6/08. https://doi.org/10.3182/20080706-5-KR-1001.2405

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AB - 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.

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

Abstract

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Keywords

ASJC Scopus subject areas

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