Some properties of multivariable mirror-image and anti-mirror-image polynomials obtained by the bilinear transformations of Hurwitz polynomials

摘要

Two new properties of k-variable mirror-image and anti-mirror-image polynomials are obtained when they are derived from the k-variable Hurwitz polynomials by means of bilinear transformations. It is also shown how such polynomials can be used in stability tests in the discrete polydomain, as well as in Schur-Cohn matrices used for testing the stability of multivariable transfer functions.