Frequency domain criteria for robust stability of bivariate polynomials

Author

Polyak, B.T. ; Shmulyian, S.B.

Author_Institution

Dept. of Theor. Math., Weizmann Inst. of Sci., Rehovot, Israel

Volume

41

Issue

2

fYear

1994

fDate

2/1/1994 12:00:00 AM

Firstpage

161

Lastpage

167

Abstract

The problem of robust strict-sense Hurwitz stability for bivariate polynomials is considered. A general criterion is formulated as a zero exclusion principle. Attempts are made to construct a value set for a wide class of coefficient perturbations. Interval, disc and linear families for both continuous time and discrete time cases are studied. All conditions for robust stability are written in two-dimensional or one-dimensional frequency domain form. One of examples is a bivariate version of the Nyquist test

Keywords

discrete time systems; frequency-domain analysis; linear systems; multidimensional systems; polynomials; stability criteria; Hurwitz stability; Nyquist test; bivariate polynomials; coefficient perturbations; continuous time case; discrete time case; frequency domain criteria; multidimensional linear system stability; one-dimensional frequency domain; robust stability; two-dimensional frequency domain; zero exclusion principle; Circuit stability; Circuit testing; Control theory; Frequency domain analysis; Helium; Mathematics; Multidimensional systems; Polynomials; Robust stability; Robustness;

fLanguage

English

Journal_Title

Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on

Publisher

ieee

ISSN

1057-7122

Type

jour

DOI

10.1109/81.269052

Filename

269052