{"created":"2025-02-21T03:38:19.929790+00:00","id":2007001,"links":{},"metadata":{"_buckets":{"deposit":"76dac6a0-4e03-48cd-abe0-0fc1432eed1a"},"_deposit":{"created_by":41,"id":"2007001","owners":[41],"pid":{"revision_id":0,"type":"depid","value":"2007001"},"status":"published"},"_oai":{"id":"oai:hiroshima.repo.nii.ac.jp:02007001","sets":["1730444907710"]},"author_link":[],"item_1617186331708":{"attribute_name":"Title","attribute_value_mlt":[{"subitem_title":"A numerical analysis of the Nash strategy for weakly coupled large-scale systems","subitem_title_language":"en"}]},"item_1617186419668":{"attribute_name":"Creator","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Mukaidani, Hiroaki","creatorNameLang":"en"}],"familyNames":[{"familyName":"Mukaidani","familyNameLang":"en"}],"givenNames":[{"givenName":"Hiroaki","givenNameLang":"en"}]}]},"item_1617186476635":{"attribute_name":"Access Rights","attribute_value_mlt":[{"subitem_access_right":"open access","subitem_access_right_uri":"http://purl.org/coar/access_right/c_abf2"}]},"item_1617186499011":{"attribute_name":"Rights","attribute_value_mlt":[{"subitem_rights":"Copyright (c) 2006 IEEE. 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 to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE."}]},"item_1617186609386":{"attribute_name":"Subject","attribute_value_mlt":[{"subitem_subject":"Cross-coupled algebraic Riccati equations (CARE)","subitem_subject_scheme":"Other"},{"subitem_subject":"Fixed-point algorithm","subitem_subject_scheme":"Other"},{"subitem_subject":"Nash games","subitem_subject_scheme":"Other"},{"subitem_subject":"Newton's method","subitem_subject_scheme":"Other"},{"subitem_subject":"Weakly coupled large-scale systems","subitem_subject_scheme":"Other"},{"subitem_subject":"410","subitem_subject_scheme":"NDC"}]},"item_1617186626617":{"attribute_name":"Description","attribute_value_mlt":[{"subitem_description":"his note discusses the feedback Nash equilibrium of linear quadratic N-player Nash games for infinite-horizon large-scale interconnected systems. The asymptotic structure along with the uniqueness and positive semidefiniteness of the solutions of the cross-coupled algebraic Riccati equations (CAREs) is newly established via the Newton-Kantorovich theorem. The main contribution of this study is the proposal of a new algorithm for solving the CAREs. In order to improve the convergence rate of the algorithm, Newton's method is combined with a new decoupling algorithm; it is shown that the proposed algorithm attains quadratic convergence. Moreover, it is shown for the first time that solutions to the CAREs can be obtained by solving the independent algebraic Lyapunov equation (ALE) by using the reduced-order calculation.","subitem_description_language":"en"}]},"item_1617186643794":{"attribute_name":"Publisher","attribute_value_mlt":[{"subitem_publisher":"IEEE"}]},"item_1617186702042":{"attribute_name":"Language","attribute_value_mlt":[{"subitem_language":"eng"}]},"item_1617186920753":{"attribute_name":"Source Identifier","attribute_value_mlt":[{"subitem_source_identifier":"0018-9286","subitem_source_identifier_type":"ISSN"},{"subitem_source_identifier":"AA00667671","subitem_source_identifier_type":"NCID"}]},"item_1617187024783":{"attribute_name":"Page Start","attribute_value_mlt":[{"subitem_start_page":"1371"}]},"item_1617187056579":{"attribute_name":"Bibliographic Information","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2006-08","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"8","bibliographicPageEnd":"1377","bibliographicPageStart":"1371","bibliographicVolumeNumber":"51","bibliographic_titles":[{"bibliographic_title":"IEEE Transactions on Automatic Control"},{"bibliographic_title":"IEEE Transactions on Automatic Control"}]}]},"item_1617258105262":{"attribute_name":"Resource Type","attribute_value_mlt":[{"resourcetype":"journal article","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_1617265215918":{"attribute_name":"Version Type","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_970fb48d4fbd8a85","subitem_version_type":"VoR"}]},"item_1617353299429":{"attribute_name":"Relation","attribute_value_mlt":[{"subitem_relation_type_id":{"subitem_relation_type_id_text":"10.1109/TAC.2006.878744","subitem_relation_type_select":"DOI"}},{"subitem_relation_type_id":{"subitem_relation_type_id_text":"http://dx.doi.org/10.1109/TAC.2006.878744","subitem_relation_type_select":"DOI"}}]},"item_1617605131499":{"attribute_name":"File","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_access","date":[{"dateType":"Available","dateValue":"2023-03-18"}],"displaytype":"simple","filename":"TN05-02-23.pdf","filesize":[{"value":"316.3 KB"}],"mimetype":"application/pdf","url":{"objectType":"fulltext","url":"https://hiroshima.repo.nii.ac.jp/record/2007001/files/TN05-02-23.pdf"},"version_id":"815e7fae-f9dd-4abe-8896-58a9e07ada7f"}]},"item_1732771732025":{"attribute_name":"旧ID","attribute_value":"15012"},"item_title":"A numerical analysis of the Nash strategy for weakly coupled large-scale systems","item_type_id":"40003","owner":"41","path":["1730444907710"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2023-03-18"},"publish_date":"2023-03-18","publish_status":"0","recid":"2007001","relation_version_is_last":true,"title":["A numerical analysis of the Nash strategy for weakly coupled large-scale systems"],"weko_creator_id":"41","weko_shared_id":-1},"updated":"2025-02-21T08:57:38.627560+00:00"}