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The proposed method gives approximated flows on the stable manifold of the associated Hamiltonian system and provides approximations of the stable Lagrangian submanifold. With this method, the closed loop stability is guaranteed and can be enhanced by taking higher order approximations. A numerical example shows the effectiveness of the method.", "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/2237/9430"}]}, "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/ACC.2007.4282581", "subitem_relation_type_select": "DOI"}}]}, "item_10_relation_8": {"attribute_name": "ISBN", "attribute_value_mlt": [{"subitem_relation_type": "isPartOf", "subitem_relation_type_id": {"subitem_relation_type_id_text": "1-4244-0989-6", "subitem_relation_type_select": "ISBN"}}]}, "item_10_rights_12": {"attribute_name": "権利", "attribute_value_mlt": [{"subitem_rights": "Copyright © 2007 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_source_id_7": {"attribute_name": "ISSN", "attribute_value_mlt": [{"subitem_source_identifier": "0743-1619", "subitem_source_identifier_type": "PISSN"}]}, "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": "Sakamoto, Noboru", "creatorNameLang": "en"}], "nameIdentifiers": [{"nameIdentifier": "21858", "nameIdentifierScheme": "WEKO"}]}, {"creatorNames": [{"creatorName": "van, der Schaft  Arjan J.", "creatorNameLang": "en"}], "nameIdentifiers": [{"nameIdentifier": "21859", "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", "download_preview_message": "", "file_order": 0, "filename": "sakamoto.pdf", "filesize": [{"value": "224.2 kB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensetype": "license_note", "mimetype": "application/pdf", "size": 224200.0, "url": {"label": "sakamoto.pdf", "objectType": "fulltext", "url": "https://nagoya.repo.nii.ac.jp/record/7711/files/sakamoto.pdf"}, "version_id": "d4aa1e3e-9b59-4f71-a90f-7d0c9c927ab4"}]}, "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": "An analytical approximation method for the stabilizing solution of the Hamilton-Jacobi equation based on stable manifold theory", "item_titles": {"attribute_name": "タイトル", "attribute_value_mlt": [{"subitem_title": "An analytical approximation method for the stabilizing solution of the Hamilton-Jacobi equation based on stable manifold theory", "subitem_title_language": "en"}]}, "item_type_id": "10", "owner": "1", "path": ["322"], "permalink_uri": "http://hdl.handle.net/2237/9430", "pubdate": {"attribute_name": "PubDate", "attribute_value": "2008-02-20"}, "publish_date": "2008-02-20", "publish_status": "0", "recid": "7711", "relation": {}, "relation_version_is_last": true, "title": ["An analytical approximation method for the stabilizing solution of the Hamilton-Jacobi equation based on stable manifold theory"], "weko_shared_id": -1}