Title :
Remarks on the stability of a class of TCP-like congestion control models
Author :
Mazenc, Frédéric ; Niculescu, Silviu-Iulian
Author_Institution :
INRIA Lorraine, Metz, France
Abstract :
This note addresses the global asymptotic stability of a class of nonlinear dynamical systems including delays in their representations. These systems are encountered in the modelling of the congestion control mechanisms for the Internet [F. Kelly, 2001], [S. Deb, et al., 2002]. The analysis makes use of some appropriate Lyapunov-Krasovskii functionals. The derived conditions are simple, and easy to check.
Keywords :
Internet; Lyapunov methods; delays; nonlinear control systems; stability; telecommunication congestion control; transport protocols; Internet; Lyapunov-Krasovskii functionals; TCP-like congestion control models; congestion control mechanisms; delays; global asymptotic stability; nonlinear dynamical systems; Asymptotic stability; Control systems; Delay effects; Internet; Shape; Stability analysis; Upper bound;
Conference_Titel :
Decision and Control, 2003. Proceedings. 42nd IEEE Conference on
Print_ISBN :
0-7803-7924-1
DOI :
10.1109/CDC.2003.1271892
