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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

What are singular values of nonlinear operators?

http://hdl.handle.net/2237/6851
http://hdl.handle.net/2237/6851
ebcb23aa-7932-4b40-a2d0-3eb75e6ff89a
名前 / ファイル ライセンス アクション
cdc04.pdf cdc04.pdf (178.5 kB)
Item type 学術雑誌論文 / Journal Article(1)
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

WEKO 13315

en Fujimoto, Kenji

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 © 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 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
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/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
フォーマット
application/pdf
著者版フラグ
値 publisher
URI
識別子 http://hdl.handle.net/2237/6851
識別子タイプ HDL
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