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

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1 Author(s)
Papachristodoulou, A. ; Control & Dynamical Syst., California Inst. of Technol., Pasadena, CA, USA

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.

Published in:

Decision and Control, 2004. CDC. 43rd IEEE Conference on  (Volume:1 )

Date of Conference:

17-17 Dec. 2004

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