Brief paper: A result on second order nonlinear operators arising in high-speed networking applications

Authors:
Martin Corless;Chris King;Robert Shorten
Affiliations:
School of Aeronautics & Astronautics, Purdue University, USA;Department of Mathematics, Northeastern University, USA;The Hamilton Institute, NUI Maynooth, Ireland
Venue:
Automatica (Journal of IFAC)
Year:
2009

Citing 4
Cited 0

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Abstract

We consider the behaviour of a class of nonlinear difference equations that arise in networks employing congestion control protocols. For a class of such systems we show that trajectories, experiencing the same set of congestion notifications, but starting at different initial conditions, converge exponentially to each other.