STABILITY ANALYSIS OF UNCERTAIN POLYNOMIALS WITH POLYNOMIC PARAMETER DEPENDENCY

This paper deals with robust stability analysis of polynomials where uncertain coefficients are polynomic functions of the second order of interval parameters. The method consists in determination of a convex hull overbounding the value set of such a family. An arbitrary stability region can be chosen. Presented method states only sufficient condition of robust stability due to nonconvexity of the value set. Both computational and graphical way of using this method are applicable. The computational efficiency of presented method and method based on Bernstein algorithm is compared.