Abstract

A semi-analytic tool for the study of the robust stability of time delay systems is presented. The approach is based on graphical methods. The Finite Nyquist Theorem is extended to the case of quasipolynomials with the help of a novel approach. The Finite Inclusions Theorem for quasipolynomials is derived. It allows to conclude on the stability of polytopic families of quasipolynomials from a finite number of testing values.

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