Invariance of the strict Hurwitz property for polynomials with perturbed coefficients

Author

Barmish, B. Ross

Author_Institution

University of Wisconsin-Madison, Madison, WI, USA

Volume

Issue

fYear

1984

fDate

10/1/1984 12:00:00 AM

Firstpage

935

Lastpage

936

Abstract

Given a strictly Hurwitz polynomial $f(\\lambda ) = \\lambda ^{n} + a_{n-1} \\lambda ^{n-1} + a_{n-2}\\lambda ^{n-2}+...+ a_{1}\\lambda + a_{0}$ , it is of interest to know how much the coefficients aican be perturbed while simultaneously preserving the strict Hurwitz property. For systems with $n \\leq 4$ , maximal intervals of the aiare given in a recent paper by Guiver and Bose [1]. In this note, a theorem of Kharitonov is exploited to obtain a general result for polynomials of any degree.

Keywords

Perturbation methods; Polynomials; Routh methods, linear systems; Control engineering; Control system analysis; Control systems; Equations; Feedback; MIMO; Mathematical model; Polynomials; System analysis and design; Time domain analysis;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.1984.1103401

Filename

1103401

Link To Document

https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=843500