Hurwitz-Schur stability test of interval bivariate polynomials

The necessary and sufficient condition of Hurwitz-Schur stability of interval bivariate polynomials is established. Since interval bivariate polynomials are of linear affine property, Hurwitz-Schur stability of an interval bivariate polynomial can be guaranteed by the stability of its finite edge polynomials. An algorithm about the stability test of edge polynomials is provided.