Remarks on the stability of a class of TCP-like congestion control models
Frédéric Mazenc, Silviu‐Iulian Niculescu · 2004
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.