On Kharitonov-type results for complex-coefficient interval Schur polynomials

Author

Katbab, Abdollah ; Jury, E.I.

Author_Institution

Dept. of Electr. Eng. & Comput. Sci., George Washington Univ., Washington, DC, USA

Volume

40

Issue

9

fYear

1992

fDate

9/1/1992 12:00:00 AM

Firstpage

2304

Lastpage

2310

Abstract

A Kharitonov-type result for the stability analysis of real Schur polynomials that have been transformed by a new transformation technique has been proposed, and the necessary and sufficient conditions for the stability of the transformed polynomials were developed by P.P. Vaidyanathan (see IEEE Trans. Acoust. Speech Signal Process, vol.38, no.2, p.277-85, 1990). These results are generalized to the case of the complex coefficient, and the stability of the whole transformed family of interval polynomials is proved. The sufficiency conditions of this test for the stability of the original interval polynomial family is commented on, and checking the stability of the required polynomials for low-order cases is addressed. Some illustrative examples are given. The results may be found useful to testing the interval stability of two-dimensional digital filters

Keywords

filtering and prediction theory; polynomials; stability; two-dimensional digital filters; 2D digital filters; Kharitonov-type result; complex-coefficient interval Schur polynomials; low-order polynomials; stability analysis; sufficiency conditions; transformation technique; transformed polynomial stability; two-dimensional digital filters; Adaptive control; Adaptive signal processing; Circuit stability; Face; Filters; Polynomials; Robust stability; Stability analysis; Sufficient conditions; Testing;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.157229

Filename

157229