The local stability analysis of some classes of nonlinear time-delay systems, encountered as fluid flow models for TCP/AQM networks, is addressed. Necessary and sufficient conditions for the asymptotic stability of the linearized models are obtained. Nonlinear stability conditions are derived using a Lyapunov-Krasovskii functional approach. The analysis of fluid flow models for the behavior of high-speed networks represents a subject of recurring interest in the last years. Recently, in Misra et al. (2000) a fluid-flow model describing accurately the behavior of congested routers in TCP/AQM networks was introduced. A simplified version of this model was used in Hollot et al. (2002) to investigate the qualitative properties of TCP/AQM networks. These models express AQM schemes as classical feedback control schemes.
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