A comprehensive study of two-variable Hurwitz polynomials

Author

Reddy, Harnatha C. ; Rajan, P. Karivaratha

Author_Institution

Dept. of Electr. Eng., California State Univ., Long Beach, CA, USA

Volume

32

Issue

3

fYear

1989

fDate

8/1/1989 12:00:00 AM

Firstpage

198

Lastpage

209

Abstract

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

Keywords

network analysis; polynomials; continuity property; passive networks; stability; two-dimensional systems; two-variable Hurwitz polynomials; Circuit stability; Circuit testing; Circuits and systems; Digital filters; Manufacturing; Passive networks; Polynomials; Signal processing; Transfer functions; Two dimensional displays;

fLanguage

English

Journal_Title

Education, IEEE Transactions on

Publisher

ieee

ISSN

0018-9359

Type

jour

DOI

10.1109/13.34151

Filename

34151