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Robust Stability Analysis of Characteristic Polynomials Whose Coefficients are Polynomials of Interval Parameters Kawamura, Takeshi Shima, Masasuke open access c 1996 Birkh auser-BostonThis work is licensed under a Creative Commons Attribution 4.0 International License. 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. Birkh auser-Boston eng journal article VoR https://kitami-it.repo.nii.ac.jp/records/8273 Journal of mathematical Systems, Estimation, and Control 6 4 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 application/pdf 233.3 kB 2016-11-22