Stability analysis of some classes of TCP/AQM networks

Author: Michiels W.   Melchor-Aguilar D.   Niculescu S.-I.  

Publisher: Taylor & Francis Ltd

ISSN: 1366-5820

Source: International Journal of Control, Vol.79, Iss.9, 2006-09, pp. : 1136-1144

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Abstract

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.