Global stability analysis of a TCP/AQM protocol for arbitrary networks with delay

Author

Papachristodoulou, Antonis

Author_Institution

Control & Dynamical Syst., California Inst. of Technol., Pasadena, CA, USA

Volume

1

fYear

2004

fDate

17-17 Dec. 2004

Firstpage

1029

Abstract

We investigate global stability of fast AQM scalable TCP (FAST), a network congestion control scheme for the Internet modelled by a nonlinear delay differential equation with heterogeneous delays. The stability conditions resemble the ones from the linearization, are delay-dependent and scalable for arbitrary network sizes; the special structure of the system and the choice of TCP/AQM dynamics allow the construction of appropriate Lyapunov-Krasovskii functionals in a scalable way.

Keywords

Internet; Lyapunov methods; delays; nonlinear differential equations; queueing theory; stability; telecommunication congestion control; transport protocols; FAST; Internet; Lyapunov-Krasovskii functionals; TCP/AQM dynamics; TCP/AQM protocol; delay-dependent stability conditions; fast AQM scalable TCP; global stability analysis; heterogeneous delays; network congestion control scheme; nonlinear delay differential equation; scalable stability conditions; Control systems; Delay effects; Delay lines; Internet; Network topology; Nonlinear dynamical systems; Nonlinear systems; Protocols; Resource management; Stability analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2004. CDC. 43rd IEEE Conference on

Conference_Location

Nassau

ISSN

0191-2216

Print_ISBN

0-7803-8682-5

Type

conf

DOI

10.1109/CDC.2004.1428823

Filename

1428823