Title :
Global Stability Analysis of a Nonlinear Model of Internet Congestion Control With Delay
Author :
Peet, Matthew ; Lall, Sanjay
Author_Institution :
INRIA
fDate :
3/1/2007 12:00:00 AM
Abstract :
We address global stability of a model for the TCP/AQM congestion control protocol. This model represents the dynamics of a single link and single source, and consists of a nonlinear differential equation with a time-delay. We make use of absolute stability theory and integral-quadratic constraints to give conditions under which the dynamics are globally asymptotically stable
Keywords :
Internet; asymptotic stability; delays; nonlinear differential equations; telecommunication congestion control; transport protocols; Internet congestion control; TCP/AQM congestion control protocol; global asymptotic stability analysis; integral-quadratic constraints; nonlinear differential equation; time-delay; Aerodynamics; Algorithm design and analysis; Asymptotic stability; Constraint theory; Delay; Differential equations; IP networks; Internet; Protocols; Stability analysis; Delay; Internet congestion control; integral quadratic constraints; nonlinear; stability;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2007.892379
