2024-03-28T13:26:54Z
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2022-12-13T02:21:17Z
1:87
Stability Analysis of the Characteristic Polynomials whose Coefficients are Polynomials of Interval Parameters Using Monotonicity
KAWAMURA, Takeshi
SHIMA, Masasuke
stability analysis
interval parameters
monotonicity
Frazer-Duncan's theorem
In this paper, we analyze the stability of the characteristic polynomials whose coefficients are polynomials of interval parameters via monotonicity methods. Our stability conditions are based on Frazer-Duncan's theorem and all conditions can be checked using only endpoint values of interval parameters. These stability conditions are necessary and sufficient under the monotonicity assumptions.
When the monotonicity conditions do not hold on the whole parameter region, we present an interval division method and a transformation algorithm in order to apply the monotonicity conditions. Then, our stability analysis methods can be applied to all characteristic polynomials whose coefficients are polynomials of interval parameters.
journal article
The Society of Instrument and Control Engineers (SICE)
2002-06
application/pdf
Trans. of the Society of Instrument and Control Engineers
6
38
557
566
https://kitami-it.repo.nii.ac.jp/record/8274/files/2002_Stability Analysis of the Characteristic Polynomials whose Coefficients are Polynomials of Interval Parameters Using Monotonicity.pdf
eng
http://doi.org/10.9746/sicetr1965.38.557
c2002 The Society of Instrument and Control Engineers (SICE)
open access