This paper presents non-linear mathematical model of a computer network with a part of wireless network. The article contains an analysis of the stability of the network based on TCP-DCR, which is a modification of the traditional TCP. Block diagram of the network model was converted to a form in order to investigate the D-stability using the method of the space of uncertain parameters. Robust D-stability is calculated for constant delays values.

Communication in intelligent computer networks is an indispensible attribute of the dataflow quality in Web traffic. We propose a model that investigates intelligent computer networks stability while specifying its limits. Packet queuing delay affects the performance of the network, and especially its stability. If the network is presented as a dynamic system in block diagram form, we compute a transfer function and determine the quasi-polynomial system. The characteristic polynomial distribution of zeros of complex variable quasi-plane determines the boundaries of the network stability. The approach relies on estimation of the network system's transfer functions and its quasi-polynomial. Computer network stability is specified by the distribution of zeros of our quasi-polynomial that is the system's trajectory for arbitrary initial conditions which approach zero as soon as the packets in a router start queuing. Since the quasipolynomials consist of an infinite number of zeros a typical analytical methods cannot be applied here. So, we use graphical methods. Our model indicates that the queuing delays usually occurring in the network performance, do not affect the Web traffic and consequently the network stability on the whole.

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