2024-03-28T23:36:55Z
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Robust Stability Analysis of Characteristic Polynomials Whose Coefficients are Polynomials of Interval Parameters
Kawamura, Takeshi
Shima, Masasuke
interval polynomial
Sturm's theorem
mapping theorem
Mik-hailov's theorem
In this paper, stability of the characteristic polynomial F(s) of
which parameters appear nonlinearly in coe cients is studied. If
real and imaginary part of F(jw) are monotone of parameters in
frequency domain, their maximum and minimum values can be cal-
culated from the endpoints of parameters. Using this monotonicity,
we will extend the mapping theorem, to the case of polynomial coef-
cient of parameters. And su cient conditions of the monotonicity
are derived for the case of one parameter and multi-parameters.
journal article
Birkh auser-Boston
application/pdf
Journal of mathematical Systems, Estimation, and Control
4
6
1
12
https://kitami-it.repo.nii.ac.jp/record/8273/files/1996_Robust stability analysis of characteristic polynomials whose coefficients are polynomials of interval parameters.pdf
eng
c 1996 Birkh auser-BostonThis work is licensed under a Creative Commons Attribution 4.0 International License.
open access