Extreme-point robust stability of a class of discrete-time polynomials

Abstract

The authors present new results on the extreme-point robust stability of a class of discrete-time polynomials with special uncertainty in the coefficient space. Using a simple extreme-point stability test, they show that the stability of all polynomials corresponding to the special polytope in the coefficient space can be deduced to the stability of the polynomial corresponding to one of the extreme-points of the polytope.