International Journal of Control vol:79 issue:9 pages:1136-1144
The local stability analysis of some classes of non-linear time-delay systems, encountered as fluid flow models for Transmission Control Protocol/Active Queue Management (TCP/AQM) networks, is addressed. Necessary and sufficient conditions for the asymptotic stability of the linearized models are obtained. Non-linear stability conditions are derived using a Lyapunov-Krasovskii functional approach. An illustrative example completes the paper.