A comprehensive study of two-variable Hurwitz polynomials

As a result of the varied applications of Hurwitz polynomials in the analysis and design of two-dimensional circuits and systems, several different classes of two-variable Hurwitz polynomials have been defined. The authors provide a comprehensive presentation of the definitions of different classes, the interrelationships among them, and their applications. The place and role of the newly defined principal Hurwitz polynomials among the various Hurwitz polynomials are also brought to light. Using a continuity property of the zeros of two-variable polynomials, new proofs for the test procedures of the different Hurwitz polynomials are presented. Applications of the Hurwitz polynomials in the study of the stability of two-dimensional systems and the properties of two-variable passive networks are summarized