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Modelling and stability analysis of nonlinear TCP dynamics with RED Man, Z and Yu, X 2007, 'Modelling and stability analysis of nonlinear TCP dynamics with RED', WSEAS Transactions on Mathematics, vol. 6, no. 8, pp. 796-801. Document type: Journal Article Collection: Journal Articles Title Modelling and stability analysis of nonlinear TCP dynamics with RED Author(s) Man, Z Yu, X Year 2007 Journal name WSEAS Transactions on Mathematics Volume number 6 Issue number 8 Start page 796 End page 801 Total pages 6 Publisher World Scientific and Engineering Academy and Society (WSEAS) Press Abstract The nonlinear TCP (Transmission Control Protocol) dynamics is often modelled by a set of continuous-time differential equations. Because of nonlinearities and time delays, the analysis of the stability and convergence is very difficult. In this paper, based on the fact that a real-time TCP behaves like a discrete-time system with its round-trip time as the time-varying sampling period, we first develop a discrete-time model using Euler-Cauchy numerical method for the closed-loop nonlinear TCP dynamics. A sufficient condition that guarantees the stability of the closed-loop nonlinear TCP dynamics with RED (Random Early Detection) is then developed based on linear time-varying system theory. A Matlab simulation is presented to verify the theoretical analysis. Keyword(s) asymptotic stability convergence linear time-varying systems modeling nonlinear systems numerical method ISSN 1109-2769 Versions Version Filter Type Mon, 06 Dec 2010, 16:41:17 EST Filtered Full Citation counts:   Cited 0 times in Thomson Reuters Web of Science Article Cited 3 times in Scopus Article | Citations Access Statistics: 101 Abstract Views  -  Detailed Statistics Created: Mon, 06 Dec 2010, 14:11:00 EST by Catalyst Administrator