Two necessary conditions for a complex polynomial to be strictly Hurwitz and their applications in robust stability analysis

Author

Shi, Y.Q. ; Yen, K.K. ; Chen, C.M.

Author_Institution

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

Volume

38

Issue

1

fYear

1993

fDate

1/1/1993 12:00:00 AM

Firstpage

125

Lastpage

128

Abstract

The necessary conditions for a complex polynomial to be strictly Hurwitz are reviewed and rigorously proved. Both necessary conditions have been extended to cover nonmonic polynomials instead of monic polynomials. Also, based on these two results, some necessary conditions for an interval polynomial to be stable in terms of being strictly Hurwitz are obtained. They can be used to quickly determine the instability of a complex interval polynomial family. Finally, their application to the study of robust stability, in the case where coefficient perturbation intervals are functions of a single parameter, is briefly discussed

Keywords

control system analysis; polynomials; stability; complex polynomial; control system analysis; instability; interval polynomial; necessary conditions; nonmonic polynomials; robust stability analysis; strictly Hurwitz polynomials; Circuit analysis; Circuit stability; Circuit testing; Control systems; Polynomials; Process control; Robust stability; Signal processing; Stability analysis; System testing;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.186322

Filename

186322