DocumentCode :
848865
Title :
Stability of polynomials under coefficient perturbation
Author :
Bialas, S. ; Garloff, J.
Author_Institution :
Academy of Mining and Metallurgy, Crakow, Poland
Volume :
30
Issue :
3
fYear :
1985
fDate :
3/1/1985 12:00:00 AM
Firstpage :
310
Lastpage :
312
Abstract :
Let the real polynomial 
be stable and let the real numbers 
, be given. We present a simple determinant criterion for finding the largest 
such that the polynomial 
is stable for all 
. Several further observations allow us to reduce the computational cost considerably.
be stable and let the real numbers , be given. We present a simple determinant criterion for finding the largest such that the polynomial is stable for all . Several further observations allow us to reduce the computational cost considerably.Keywords :
Perturbation methods; Polynomials; Stability; Convergence; Distributed parameter systems; Liquids; Optimal control; Partial differential equations; Polynomials; Stability; State estimation; Stochastic systems; Upper bound;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1985.1103930
Filename :
1103930
Link To Document :
