{"created":"2021-03-01T06:11:49.088827+00:00","id":5264,"links":{},"metadata":{"_buckets":{"deposit":"799368eb-02a5-4ffc-b624-53432fbcbdae"},"_deposit":{"id":"5264","owners":[],"pid":{"revision_id":0,"type":"depid","value":"5264"},"status":"published"},"_oai":{"id":"oai:nagoya.repo.nii.ac.jp:00005264","sets":["320:321:322"]},"author_link":["13315"],"item_10_biblio_info_6":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2004-12","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"2","bibliographicPageEnd":"1628","bibliographicPageStart":"1623","bibliographicVolumeNumber":"2","bibliographic_titles":[{"bibliographic_title":"43rd IEEE Conference on Decision and Control 2004","bibliographic_titleLang":"en"}]}]},"item_10_description_4":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"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.","subitem_description_language":"en","subitem_description_type":"Abstract"}]},"item_10_identifier_60":{"attribute_name":"URI","attribute_value_mlt":[{"subitem_identifier_type":"HDL","subitem_identifier_uri":"http://hdl.handle.net/2237/6851"}]},"item_10_publisher_32":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"IEEE","subitem_publisher_language":"en"}]},"item_10_relation_11":{"attribute_name":"DOI","attribute_value_mlt":[{"subitem_relation_type":"isVersionOf","subitem_relation_type_id":{"subitem_relation_type_id_text":"https://doi.org/10.1109/CDC.2004.1430277","subitem_relation_type_select":"DOI"}}]},"item_10_rights_12":{"attribute_name":"権利","attribute_value_mlt":[{"subitem_rights":"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.","subitem_rights_language":"en"}]},"item_10_select_15":{"attribute_name":"著者版フラグ","attribute_value_mlt":[{"subitem_select_item":"publisher"}]},"item_10_text_14":{"attribute_name":"フォーマット","attribute_value_mlt":[{"subitem_text_value":"application/pdf"}]},"item_1615787544753":{"attribute_name":"出版タイプ","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_970fb48d4fbd8a85","subitem_version_type":"VoR"}]},"item_access_right":{"attribute_name":"アクセス権","attribute_value_mlt":[{"subitem_access_right":"open access","subitem_access_right_uri":"http://purl.org/coar/access_right/c_abf2"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Fujimoto, Kenji","creatorNameLang":"en"}],"nameIdentifiers":[{"nameIdentifier":"13315","nameIdentifierScheme":"WEKO"}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2018-02-19"}],"displaytype":"detail","filename":"cdc04.pdf","filesize":[{"value":"178.5 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"cdc04.pdf","objectType":"fulltext","url":"https://nagoya.repo.nii.ac.jp/record/5264/files/cdc04.pdf"},"version_id":"961588ea-fe60-4d5e-9576-de30649cd6a9"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"eng"}]},"item_resource_type":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"resourcetype":"journal article","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_title":"What are singular values of nonlinear operators?","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"What are singular values of nonlinear operators?","subitem_title_language":"en"}]},"item_type_id":"10","owner":"1","path":["322"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2006-08-22"},"publish_date":"2006-08-22","publish_status":"0","recid":"5264","relation_version_is_last":true,"title":["What are singular values of nonlinear operators?"],"weko_creator_id":"1","weko_shared_id":-1},"updated":"2023-01-16T03:49:52.154352+00:00"}