{"created":"2021-03-01T07:00:41.996923+00:00","id":41000,"links":{},"metadata":{"_buckets":{"deposit":"4f00377f-e54b-46c5-9eee-b054117d2ed7"},"_deposit":{"id":"41000","owners":[],"pid":{"revision_id":0,"type":"depid","value":"41000"},"status":"published"},"_oai":{"id":"oai:repository.dl.itc.u-tokyo.ac.jp:00041000","sets":["312:7290:7298","9:504:7292:7299"]},"item_4_biblio_info_7":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"1989","bibliographicIssueDateType":"Issued"},"bibliographicPageEnd":"55","bibliographicPageStart":"45","bibliographicVolumeNumber":"39","bibliographic_titles":[{"bibliographic_title":"Scientific papers of the College of Arts and Sciences, the University of Tokyo"}]}]},"item_4_description_13":{"attribute_name":"フォーマット","attribute_value_mlt":[{"subitem_description":"application/pdf","subitem_description_type":"Other"}]},"item_4_description_5":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"We consider a linear control system with time-delays in a reflexive Banach space X : $dx(t)/dt=A_0x(t)+\\int_(-n)^0 d\\eta (s)x(t+s)+B(t)u(t) a.e. t>0.$ $x(0)=g^0, x(s)=g^1(s) a.e. s\\in [-h,0],$ where $where (g^0,g^1)\\in X\\times L_p([-h,0] ; X), u\\in L_q^(loc) (R^+ ; U),$ U is a reflexive Banach space, $p,q\\in (1,\\infty ),B(t)$ is a family of bounded linear operators on U to X and A$F_0$ generates a C$F_0$-semigroup, η is a Stieltjes measure. Moreover g$F^1$ and u are assumed to be restricted in ${g^1 ; \\parallel g^1\\parallel L_(p([-h,0]); X)) \\leqq \\rho $ and ${u ; \\parallel u\\parallel_ L_(p([0,T]);U)) \\leqq \\delta } (\\rho \\delta >0 ).$ For given $x^0,g^0\\in X $ and a given time T>0, we discuss admissible controllability problems : (1) to determine independently g$F^1$ (･) and u (･) such that x(0)=g$F^0$ and $x(T)=x^0 or \\parallel x(T)-x^0\\parallel \\leqq \\epsilon $ (\\epsilon  : a given error). (the cooperative type) (2) to determine u (･) for a given g$F^1$ (･) such that x(0)=g$F^0$ and $\\parallel x(T)-x^0\\parallel \\leqq \\epsilon $(the noncooperative type) In this paper, for the both types, we establish necessary and sufficient conditions involving ρ and δ, in order that we can find such g$F^1$ and u. These conditions are expressed in terms of the fundamental solution of the homogeneous system with time-delays.","subitem_description_type":"Abstract"}]},"item_4_identifier_registration":{"attribute_name":"ID登録","attribute_value_mlt":[{"subitem_identifier_reg_text":"10.15083/00040991","subitem_identifier_reg_type":"JaLC"}]},"item_4_publisher_20":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"The University of Tokyo"}]},"item_4_source_id_10":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AA10538733","subitem_source_identifier_type":"NCID"}]},"item_4_source_id_8":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"02897520","subitem_source_identifier_type":"ISSN"}]},"item_4_subject_15":{"attribute_name":"日本十進分類法","attribute_value_mlt":[{"subitem_subject":"410","subitem_subject_scheme":"NDC"}]},"item_4_text_4":{"attribute_name":"著者所属","attribute_value_mlt":[{"subitem_text_value":"Department of Mathematics, Pusan National University|Department of Applied Mathematics, Faculty of Engineering, Kobe University|Department of Mathematics, College of Arts and Sciences, University of Tokyo"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Park, Jong Yeoul"}],"nameIdentifiers":[{"nameIdentifier":"139874","nameIdentifierScheme":"WEKO"}]},{"creatorNames":[{"creatorName":"Nakagiri, Shin-Ichi"}],"nameIdentifiers":[{"nameIdentifier":"139875","nameIdentifierScheme":"WEKO"}]},{"creatorNames":[{"creatorName":"Yamamoto, Masahiro"}],"nameIdentifiers":[{"nameIdentifier":"139876","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":"2017-06-27"}],"displaytype":"detail","filename":"scp039002.pdf","filesize":[{"value":"732.7 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"scp039002.pdf","url":"https://repository.dl.itc.u-tokyo.ac.jp/record/41000/files/scp039002.pdf"},"version_id":"e1f7e97c-3c67-4d2c-b9fd-4fbe48e2fda9"}]},"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":"departmental bulletin paper","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_title":"Admissible Controllability for Linear Time-delay Systems in Banach Spaces : A problem in game theory","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Admissible Controllability for Linear Time-delay Systems in Banach Spaces : A problem in game theory"}]},"item_type_id":"4","owner":"1","path":["7298","7299"],"pubdate":{"attribute_name":"公開日","attribute_value":"2008-11-19"},"publish_date":"2008-11-19","publish_status":"0","recid":"41000","relation_version_is_last":true,"title":["Admissible Controllability for Linear Time-delay Systems in Banach Spaces : A problem in game theory"],"weko_creator_id":"1","weko_shared_id":null},"updated":"2022-12-19T04:14:19.749335+00:00"}