In the last few years the polynomial chaos theory of Wiener has been successfully applied to quantifyuduncertainty in many applications, since it may be a cheap alternative to Monte Carlo simulations.udIn this paper we introduce linear delay dierential equations with uncertain parameters, and weudface both the well-posedness of the initial value problem and the stability by means of a suitableudabstract reformulation. To quantify the eect of uncertainty on system stability, which is a crucialudquestion in applications, we apply the polynomial chaos expansion to the stability indicator. Theudproposed numerical method combines the spectral discretization of the innitesimal generator andudthe stochastic collocation. Numerical results complete the paper.
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