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  1. B200 工学部/工学研究科
  2. B200a 雑誌掲載論文
  3. 学術雑誌

Nonlinear input-normal realizations based on the differential eigenstructure of Hankel operators

http://hdl.handle.net/2237/6745
http://hdl.handle.net/2237/6745
67650842-06a5-490d-882a-12e489e7389e
名前 / ファイル ライセンス アクション
01381644.pdf 01381644.pdf (554.6 kB)
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

WEKO 12919

en Fujimoto, Kenji

Search repository
Scherpen, Jacquelien M. A.

× Scherpen, Jacquelien M. A.

WEKO 12920

en Scherpen, Jacquelien M. A.

Search repository
藤本, 健治

× 藤本, 健治

WEKO 12921

ja 藤本, 健治

Search repository
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 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
内容記述タイプ Abstract
出版者
言語 en
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
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
フォーマット
application/pdf
著者版フラグ
値 publisher
URI
識別子 http://hdl.handle.net/2237/6745
識別子タイプ HDL
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