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Stability Analysis of the Characteristic Polynomials whose Coefficients are Polynomials of Interval Parameters Using Monotonicity
https://kitami-it.repo.nii.ac.jp/records/8274
https://kitami-it.repo.nii.ac.jp/records/8274afaf7592-0dcc-4816-9f76-b464dc9556c3
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
2002_Stability Analysis of the Characteristic Polynomials whose Coefficients are Polynomials of Interval Parameters Using Monotonicity.pdf (2.3 MB)
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| Item type | 学術雑誌論文 / Journal Article(1) | |||||||||
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| 公開日 | 2016-07-20 | |||||||||
| タイトル | ||||||||||
| タイトル | Stability Analysis of the Characteristic Polynomials whose Coefficients are Polynomials of Interval Parameters Using Monotonicity | |||||||||
| 言語 | en | |||||||||
| 言語 | ||||||||||
| 言語 | eng | |||||||||
| キーワード | ||||||||||
| 主題Scheme | Other | |||||||||
| 主題 | stability analysis | |||||||||
| キーワード | ||||||||||
| 主題Scheme | Other | |||||||||
| 主題 | interval parameters | |||||||||
| キーワード | ||||||||||
| 主題Scheme | Other | |||||||||
| 主題 | monotonicity | |||||||||
| キーワード | ||||||||||
| 主題Scheme | Other | |||||||||
| 主題 | Frazer-Duncan's theorem | |||||||||
| 資源タイプ | ||||||||||
| 資源 | http://purl.org/coar/resource_type/c_6501 | |||||||||
| タイプ | journal article | |||||||||
| アクセス権 | ||||||||||
| アクセス権 | open access | |||||||||
| アクセス権URI | http://purl.org/coar/access_right/c_abf2 | |||||||||
| 著者 |
KAWAMURA, Takeshi
× KAWAMURA, Takeshi
× SHIMA, Masasuke
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| 著者別名 | ||||||||||
| 識別子Scheme | WEKO | |||||||||
| 識別子 | 44848 | |||||||||
| 識別子Scheme | KAKEN | |||||||||
| 識別子URI | https://nrid.nii.ac.jp/ja/nrid/1000080234128 | |||||||||
| 識別子 | 80234128 | |||||||||
| 姓名 | 川村, 武 | |||||||||
| 言語 | ja | |||||||||
| 著者別名 | ||||||||||
| 識別子Scheme | WEKO | |||||||||
| 識別子 | 43360 | |||||||||
| 姓名 | 島, 公脩 | |||||||||
| 言語 | ja | |||||||||
| 抄録 | ||||||||||
| 内容記述タイプ | Abstract | |||||||||
| 内容記述 | 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. |
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| 書誌情報 |
Trans. of the Society of Instrument and Control Engineers 巻 38, 号 6, p. 557-566, 発行日 2002-06 |
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| DOI | ||||||||||
| 識別子タイプ | DOI | |||||||||
| 関連識別子 | http://doi.org/10.9746/sicetr1965.38.557 | |||||||||
| 権利 | ||||||||||
| 権利情報 | c2002 The Society of Instrument and Control Engineers (SICE) | |||||||||
| 出版者 | ||||||||||
| 出版者 | The Society of Instrument and Control Engineers (SICE) | |||||||||
| 著者版フラグ | ||||||||||
| 言語 | en | |||||||||
| 値 | publisher | |||||||||
| 出版タイプ | ||||||||||
| 出版タイプ | VoR | |||||||||
| 出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||||||
