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Nonlinear input-normal realizations based on the differential eigenstructure of Hankel operators
http://hdl.handle.net/2237/6745
http://hdl.handle.net/2237/674567650842-06a5-490d-882a-12e489e7389e
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
01381644.pdf (554.6 kB)
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| Item type | 学術雑誌論文 / Journal Article(1) | |||||
|---|---|---|---|---|---|---|
| 公開日 | 2006-07-26 | |||||
| タイトル | ||||||
| タイトル | Nonlinear input-normal realizations based on the differential eigenstructure of Hankel operators | |||||
| 言語 | en | |||||
| 著者 |
Fujimoto, Kenji
× Fujimoto, Kenji× Scherpen, Jacquelien M. A.× 藤本, 健治 |
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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 © 2005 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. | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | Balanced realization | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | model reduction | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | nonlinear control | |||||
| 抄録 | ||||||
| 内容記述タイプ | Abstract | |||||
| 内容記述 | This paper investigates the differential eigenstructure of Hankel operators for nonlinear systems. First, it is proven that the variational system and the Hamiltonian extension with extended input and output spaces can be interpreted as the Gateaux differential and its adjoint of a dynamical input.output system, respectively. Second, the Gateaux differential is utilized to clarify the main result the differential eigenstructure of the nonlinear Hankel operator which is closely related to the Hankel norm of the original system. Third, a new characterization of the nonlinear extension of Hankel singular values are given based on the differential eigenstructure. Finally, a balancing procedure to obtain a new input-normal/output-diagonal realization is derived. The results in this paper thus provide new insights to the realization and balancing theory for nonlinear systems. | |||||
| 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/TAC.2004.840476(410)50 | |||||
| ISSN | ||||||
| 収録物識別子タイプ | PISSN | |||||
| 収録物識別子 | 0018-9286 | |||||
| 書誌情報 |
en : IEEE Transactions on Automatic Control 巻 50, 号 1, p. 2-18, 発行日 2005-01 |
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| フォーマット | ||||||
| 値 | application/pdf | |||||
| 著者版フラグ | ||||||
| 値 | publisher | |||||
| URI | ||||||
| 識別子 | http://hdl.handle.net/2237/6745 | |||||
| 識別子タイプ | HDL | |||||
