DocumentCode :
847620
Title :
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 :
30
Issue :
10
fYear :
1985
fDate :
10/1/1985 12:00:00 AM
Firstpage :
1033
Lastpage :
1036
Abstract :
Given a polynomial 
which is Hurwitz or 
which has zeros only within or on the unit circle, it is of interest to know how much the coefficients tj can 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}]](/images/tex/3372.gif)
containing only polynomials which are stable.
which is Hurwitz or which has zeros only within or on the unit circle, it is of interest to know how much the coefficients t 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 :
