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An analytical approximation method for the stabilizing solution of the Hamilton-Jacobi equation based on stable manifold theory
http://hdl.handle.net/2237/9430
18f94217-c33c-4ff5-b0b1-7b184aa40b97
名前 / ファイル | ライセンス | アクション | |
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Item type | 学術雑誌論文 / Journal Article(1) | |||||
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公開日 | 2008-02-20 | |||||
タイトル | ||||||
タイトル | An analytical approximation method for the stabilizing solution of the Hamilton-Jacobi equation based on stable manifold theory | |||||
著者 |
Sakamoto, Noboru
× Sakamoto, Noboru× van, der Schaft Arjan J. |
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権利 | ||||||
権利情報 | Copyright © 2007 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 | In this paper, an analytical approximation approach for the stabilizing solution of the Hamilton-Jacobi equation using stable manifold theory is proposed. The proposed method gives approximated flows on the stable manifold of the associated Hamiltonian system and provides approximations of the stable Lagrangian submanifold. With this method, the closed loop stability is guaranteed and can be enhanced by taking higher order approximations. A numerical example shows the effectiveness of the method. | |||||
内容記述タイプ | Abstract | |||||
出版者 | ||||||
出版者 | IEEE | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源タイプresource | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | journal article | |||||
DOI | ||||||
関連識別子 | ||||||
識別子タイプ | DOI | |||||
関連識別子 | http://dx.doi.org/10.1109/ACC.2007.4282581 | |||||
ISBN | ||||||
関連識別子 | ||||||
識別子タイプ | ISBN | |||||
関連識別子 | 1-4244-0989-6 | |||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 0743-1619 | |||||
書誌情報 |
American Control Conference p. 2364-2369, 発行日 2007 |
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フォーマット | ||||||
application/pdf | ||||||
著者版フラグ | ||||||
値 | publisher | |||||
URI | ||||||
識別子 | http://hdl.handle.net/2237/9430 | |||||
識別子タイプ | HDL |