On the stability properties of polynomials with perturbed coefficients

Author

Soh, C.B. ; Berger, C.S. ; Dabke, K.P.

Author_Institution

Monash University, Clayton, Victoria, Australia

Volume

Issue

fYear

1985

fDate

10/1/1985 12:00:00 AM

Firstpage

1033

Lastpage

1036

Abstract

Given a polynomial $P_{c}(S) = S^{n} + t_{1}S^{n-1} + ... t_{n} = 0$ which is Hurwitz or $P_{d}(Z) = Z^{n} + t_{1}Z^{n-1} + ... t_{n} = 0$ which has zeros only within or on the unit circle, it is of interest to know how much the coefficients tjcan be perturbed while preserving the stability properties. In this note, a method is presented for obtaining the largest hypersphere centered at $t^{T} = [t_{1} ... t_{n}]$ containing only polynomials which are stable.

Keywords

Polynomials; Sensitivity, linear systems; Stability, linear systems; Automatic control; Control systems; Differential equations; Large-scale systems; Linear systems; Mathematical model; Polynomials; Stability;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.1985.1103807

Filename

1103807

Link To Document

https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=847620