Stability of multivariate complex diamond polynomials

Author

Shi, Y.Q. ; Zhou, S.F.

Author_Institution

Dept. of Electr. & Comput. Eng., New Jersey Inst. of Technol., Newark, NJ, USA

fYear

1991

fDate

11-14 Jun 1991

Firstpage

2411

Abstract

Recently, attention has been focused on the (open left half plane) stability of a family of polynomials having complex coefficients with their real and imaginary parts each varying in a diamond. It has been found that the stability of the family of polynomials requires the checking of 16 one-dimensional edges of the diamond. This result is extended to n-variate case. It is proved that checking the scattering Hurwitz property of certain 16n one-dimensional edges of the diamond can guarantee the scattering Hurwitz property of the whole diamond family of n-variate complex polynomials

Keywords

polynomials; stability; complex coefficients; complex diamond polynomials; multivariate polynomials; one-dimensional edges; scattering Hurwitz property; stability; Adaptive control; Adaptive signal processing; Polynomials; Robust stability; Scattering; Testing;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 1991., IEEE International Sympoisum on

Print_ISBN

0-7803-0050-5

Type

conf

DOI

10.1109/ISCAS.1991.176062

Filename

176062

Link To Document

https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2822192