Robust Stability Test of Polytopic Family of Polynomials: The Dixon's Resultant Method

摘要

This paper deals with the D-stability test of a polytope of polynomials when the boundary partial derivD of a given simple connected domain D in the complex plan is described by a polynomial equation, a problem that covers two special but important cases: Hurwitz stability and Schur stability of a polytope of poly-nomials. Based on the "Edge Theorem"