Pade and Laguerre approximations applied to the active queue management model of internet protocol

Abstract

This paper considers the problem of pure time delay in the Active Queue Management model, the delay element is approximated by using Pade and Laguerre presentations. Hankel norm is used to determine the order of truncation. Quantitative error bounds on delay approximations are given and calculated. The approximated models are compared with the exact model with delay to determine the efficiency of the presented methods. The example presented in illustration is the model of Congestion control in Internet Protocol.