A SIMPLE TEST FOR STABILITY OF CONTINUOUS BIVARIATE POLYNOMIALS

An algorithmic criterion is proposed for checking the stability of a bivariate polynomial in the sense of the so-called Stable class. For this, a novel graphical test for the Schur Stable bivariate class is introduced. The approach relies on the fact that both the Schur Stable and the Stable bivariate classes are nicely related by a bilinear transformation.