Robust absolute stability of discrete-time systems

A problem of the absolute stability of the discrete time Lurie systems in the presence of stationary uncertainty is considered. Robust modifications of the frequency criteria of the absolute stability are formulated. Cases of both parametric uncertainty and nonparametric one are studied. New forms of uncertainty presentation, more identical to the problem under investigation, are proposed. A case of a fixed uncertain delay is studied and an effective algorithm for determining the maximum delay, preserving the absolute stability, is developed. Examples for obtained result illustration are presented.