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What are singular values of nonlinear operators?
http://hdl.handle.net/2237/6851
http://hdl.handle.net/2237/6851ebcb23aa-7932-4b40-a2d0-3eb75e6ff89a
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
cdc04.pdf (178.5 kB)
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| Item type | 学術雑誌論文 / Journal Article(1) | |||||
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| 公開日 | 2006-08-22 | |||||
| タイトル | ||||||
| タイトル | What are singular values of nonlinear operators? | |||||
| 言語 | en | |||||
| 著者 |
Fujimoto, Kenji
× Fujimoto, Kenji |
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| 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 | |||||
| 権利 | ||||||
| 言語 | en | |||||
| 権利情報 | Copyright © 2004 IEEE. Reprinted from (relevant publication info). This material is posted here with permission of the IEEE. Such permission of the IEEE does not in any way imply IEEE endorsement of any of Nagoya University’s products or services. Internal or personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution must be obtained from the IEEE by writing to pubs-permissions@ieee.org. | |||||
| 抄録 | ||||||
| 内容記述タイプ | Abstract | |||||
| 内容記述 | This paper is devoted to a novel characterization of singular values of nonlinear operators. Although eigenvalue and spectrum analysis for nonlinear operators has been studied by many researchers in mathematics literature, singular value analysis has not been investigated so much. In this paper, a novel framework of singular value analysis is proposed which is closely related to the operator gain. The proposed singular value analysis is based on the eigenvalue analysis of a special class of nonlinear operators called differentially self-adjoint. Some properties of those operators are clarified which are natural generalization of the linear case results. Furthermore, a sufficient condition for the existence of singular values is provided. The proposed analysis tools are expected to play an important role in nonlinear control systems theory as in the linear case. | |||||
| 言語 | en | |||||
| 出版者 | ||||||
| 出版者 | IEEE | |||||
| 言語 | en | |||||
| 言語 | ||||||
| 言語 | eng | |||||
| 資源タイプ | ||||||
| 資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||
| 資源タイプ | journal article | |||||
| 出版タイプ | ||||||
| 出版タイプ | VoR | |||||
| 出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||
| DOI | ||||||
| 関連タイプ | isVersionOf | |||||
| 識別子タイプ | DOI | |||||
| 関連識別子 | https://doi.org/10.1109/CDC.2004.1430277 | |||||
| 書誌情報 |
en : 43rd IEEE Conference on Decision and Control 2004 巻 2, 号 2, p. 1623-1628, 発行日 2004-12 |
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| 値 | application/pdf | |||||
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| 値 | publisher | |||||
| URI | ||||||
| 識別子 | http://hdl.handle.net/2237/6851 | |||||
| 識別子タイプ | HDL | |||||
