{"id":"https://openalex.org/W2097446061","doi":"https://doi.org/10.1109/cdc.2010.5718033","title":"A symmetric structure of variational and adjoint systems of stochastic Hamiltonian systems","display_name":"A symmetric structure of variational and adjoint systems of stochastic Hamiltonian systems","publication_year":2010,"publication_date":"2010-12-01","ids":{"openalex":"https://openalex.org/W2097446061","doi":"https://doi.org/10.1109/cdc.2010.5718033","mag":"2097446061"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2010.5718033","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2010.5718033","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"49th IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5006166354","display_name":"Satoshi Satoh","orcid":"https://orcid.org/0000-0003-4017-5123"},"institutions":[{"id":"https://openalex.org/I113306721","display_name":"Hiroshima University","ror":"https://ror.org/03t78wx29","country_code":"JP","type":"education","lineage":["https://openalex.org/I113306721"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Satoshi Satoh","raw_affiliation_strings":["Division of Mechanical Systems and Applied Mechanics Faculty of Engineering, Hiroshima University, Higashihiroshima, Hiroshima, Japan","Division of Mechanical Systems and Applied Mechanics, Faculty of Engineering, Hiroshima University, 1-4-1, Kagamiyama, Higashi, 739-8527, Japan"],"affiliations":[{"raw_affiliation_string":"Division of Mechanical Systems and Applied Mechanics Faculty of Engineering, Hiroshima University, Higashihiroshima, Hiroshima, Japan","institution_ids":["https://openalex.org/I113306721"]},{"raw_affiliation_string":"Division of Mechanical Systems and Applied Mechanics, Faculty of Engineering, Hiroshima University, 1-4-1, Kagamiyama, Higashi, 739-8527, Japan","institution_ids":["https://openalex.org/I113306721"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5037036162","display_name":"Kenji Fujimoto","orcid":"https://orcid.org/0000-0001-6345-4884"},"institutions":[{"id":"https://openalex.org/I60134161","display_name":"Nagoya University","ror":"https://ror.org/04chrp450","country_code":"JP","type":"education","lineage":["https://openalex.org/I60134161"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Kenji Fujimoto","raw_affiliation_strings":["Department of Mechanical Science and Engineering Graduate School of Engineering, University of Nagoya, Nagoya, Aichi, Japan","Department of Mechanical Science and Engineering, Graduate School of Engineering, Nagoya University, Furo-cho, Chikusa-ku, Nagoya-shi, Aichi 464-8603, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical Science and Engineering Graduate School of Engineering, University of Nagoya, Nagoya, Aichi, Japan","institution_ids":["https://openalex.org/I60134161"]},{"raw_affiliation_string":"Department of Mechanical Science and Engineering, Graduate School of Engineering, Nagoya University, Furo-cho, Chikusa-ku, Nagoya-shi, Aichi 464-8603, Japan","institution_ids":["https://openalex.org/I60134161"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5006166354"],"corresponding_institution_ids":["https://openalex.org/I113306721"],"apc_list":null,"apc_paid":null,"fwci":0.7226,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.78211546,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"1423","last_page":"1428"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12763","display_name":"ATP Synthase and ATPases Research","score":0.9940000176429749,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9894000291824341,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/hamiltonian-system","display_name":"Hamiltonian system","score":0.8302054405212402},{"id":"https://openalex.org/keywords/hamiltonian","display_name":"Hamiltonian (control theory)","score":0.7095593214035034},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5378199815750122},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.5197843909263611},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5051301121711731},{"id":"https://openalex.org/keywords/stochastic-differential-equation","display_name":"Stochastic differential equation","score":0.45113760232925415},{"id":"https://openalex.org/keywords/hamiltonian-mechanics","display_name":"Hamiltonian mechanics","score":0.4461975395679474},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.2940625548362732},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2533550262451172},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.16477340459823608},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.10036739706993103},{"id":"https://openalex.org/keywords/phase-space","display_name":"Phase space","score":0.07284960150718689}],"concepts":[{"id":"https://openalex.org/C121770821","wikidata":"https://www.wikidata.org/wiki/Q2072471","display_name":"Hamiltonian system","level":2,"score":0.8302054405212402},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.7095593214035034},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5378199815750122},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.5197843909263611},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5051301121711731},{"id":"https://openalex.org/C51955184","wikidata":"https://www.wikidata.org/wiki/Q1545585","display_name":"Stochastic differential equation","level":2,"score":0.45113760232925415},{"id":"https://openalex.org/C136864674","wikidata":"https://www.wikidata.org/wiki/Q477921","display_name":"Hamiltonian mechanics","level":3,"score":0.4461975395679474},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2940625548362732},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2533550262451172},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.16477340459823608},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.10036739706993103},{"id":"https://openalex.org/C151342819","wikidata":"https://www.wikidata.org/wiki/Q62542","display_name":"Phase space","level":2,"score":0.07284960150718689}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2010.5718033","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2010.5718033","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"49th IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W639984306","https://openalex.org/W1525883337","https://openalex.org/W1553823556","https://openalex.org/W1971754637","https://openalex.org/W2017032949","https://openalex.org/W2029160267","https://openalex.org/W2030863762","https://openalex.org/W2033603136","https://openalex.org/W2068168851","https://openalex.org/W2118006408","https://openalex.org/W2126919665","https://openalex.org/W2146396918","https://openalex.org/W2146493291","https://openalex.org/W2146835232","https://openalex.org/W2159791355","https://openalex.org/W2170316986","https://openalex.org/W2176536798","https://openalex.org/W2297863018","https://openalex.org/W2312837238","https://openalex.org/W3150614758","https://openalex.org/W4212780424","https://openalex.org/W4297748063","https://openalex.org/W4299992430","https://openalex.org/W6620887724","https://openalex.org/W6633001767","https://openalex.org/W6658079874","https://openalex.org/W6698623318","https://openalex.org/W7052737730"],"related_works":["https://openalex.org/W2054501912","https://openalex.org/W2090422852","https://openalex.org/W206701726","https://openalex.org/W4237167605","https://openalex.org/W2080400565","https://openalex.org/W2145488051","https://openalex.org/W1987982369","https://openalex.org/W1978642242","https://openalex.org/W114740072","https://openalex.org/W2563936163"],"abstract_inverted_index":{"The":[0],"authors":[1],"have":[2],"extended":[3],"deterministic":[4,57,71],"port-Hamiltonian":[5,26,40],"systems":[6,10,32],"into":[7],"stochastic":[8,15,25,39],"dynamical":[9],"which":[11,60],"are":[12],"described":[13],"by":[14],"differential":[16],"equations":[17],"written":[18],"in":[19,65],"the":[20,38,70],"sense":[21],"of":[22,46,52,56],"It\u00f4,":[23],"called":[24],"systems.":[27,41,73],"This":[28],"paper":[29],"introduces":[30],"variational":[31],"and":[33],"their":[34,47],"adjoint":[35],"ones":[36],"for":[37,69],"We":[42],"also":[43],"reveal":[44],"some":[45],"properties,":[48],"particularly":[49],"an":[50,62],"extension":[51],"a":[53],"self-adjoint":[54],"property":[55],"Hamiltonian":[58,72],"systems,":[59],"plays":[61],"important":[63],"role":[64],"learning":[66],"optimal":[67],"control":[68]},"counts_by_year":[{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
