Title :
Global stability of Vegas-like TCP flow
Author :
Choe, Hyojeong ; Low, Steven H. ; Lee, Jin S.
fDate :
June 30 2004-July 2 2004
Abstract :
A TCP Vegas flow adapts its sending rate to maintain a constant backlog in its path. The stability of nonlinear adaptation has been analyzed based on linearization and only accounted for a small signal. We extend the error model of TCP-like flow to a state-dependent coefficient form with nonlinear state feedback. The nonlinear feedback is here approximated by a saturation function. Using a quadratic Lyapunov function approach, we find a domain of attraction to show that the unique equilibrium point of the system is asymptotically stable in the domain.
Keywords :
Lyapunov methods; asymptotic stability; linearisation techniques; nonlinear control systems; state feedback; telecommunication congestion control; telecommunication network topology; transport protocols; TCP Vegas flow; asymptotic stability; constant backlog; equilibrium point; error model; global stability; linearization techniques; nonlinear adaptation; nonlinear state feedback; quadratic Lyapunov function; saturation function; state dependent coefficient; telecommunication congestion control; telecommunication network topology;
Conference_Titel :
American Control Conference, 2004. Proceedings of the 2004
Conference_Location :
Boston, MA, USA
Print_ISBN :
0-7803-8335-4
