{"id":"https://openalex.org/W2001430231","doi":"https://doi.org/10.1137/110856058","title":"Boundary Integrability of Multiple Stokes--Dirac Structures","display_name":"Boundary Integrability of Multiple Stokes--Dirac Structures","publication_year":2015,"publication_date":"2015-01-01","ids":{"openalex":"https://openalex.org/W2001430231","doi":"https://doi.org/10.1137/110856058","mag":"2001430231"},"language":"en","primary_location":{"id":"doi:10.1137/110856058","is_oa":false,"landing_page_url":"https://doi.org/10.1137/110856058","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","raw_type":"journal-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/A5013600805","display_name":"Gou Nishida","orcid":null},"institutions":[{"id":"https://openalex.org/I22299242","display_name":"Kyoto University","ror":"https://ror.org/02kpeqv85","country_code":"JP","type":"education","lineage":["https://openalex.org/I22299242"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Gou Nishida","raw_affiliation_strings":["Kyoto University, Kyoto"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Kyoto University, Kyoto","institution_ids":["https://openalex.org/I22299242"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045128637","display_name":"Bernhard Maschke","orcid":"https://orcid.org/0000-0003-0221-2843"},"institutions":[{"id":"https://openalex.org/I4210143168","display_name":"Laboratoire d'Automatique, de G\u00e9nie des Proc\u00e9d\u00e9s et de G\u00e9nie Pharmaceutique","ror":"https://ror.org/03kfjwy31","country_code":"FR","type":"facility","lineage":["https://openalex.org/I100532134","https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I203339264","https://openalex.org/I4210095849","https://openalex.org/I4210143168","https://openalex.org/I59692284"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Bernhard Maschke","raw_affiliation_strings":["Laboratoire d'automatique et de g\u00e9nie des proc\u00e9d\u00e9s"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire d'automatique et de g\u00e9nie des proc\u00e9d\u00e9s","institution_ids":["https://openalex.org/I4210143168"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5088437154","display_name":"Ryojun Ikeura","orcid":"https://orcid.org/0000-0001-9174-4379"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ryojun Ikeura","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.5933,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.74916192,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"53","issue":"2","first_page":"800","last_page":"815"},"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":0.9442999958992004,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9103999733924866,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.7166053056716919},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7053210139274597},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5418968200683594},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.528867781162262},{"id":"https://openalex.org/keywords/neumann-boundary-condition","display_name":"Neumann boundary condition","score":0.47980907559394836},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.4682173728942871},{"id":"https://openalex.org/keywords/hamiltonian","display_name":"Hamiltonian (control theory)","score":0.46806326508522034},{"id":"https://openalex.org/keywords/mixed-boundary-condition","display_name":"Mixed boundary condition","score":0.46161162853240967},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.4461475610733032},{"id":"https://openalex.org/keywords/hamiltonian-system","display_name":"Hamiltonian system","score":0.4384181797504425},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.41720330715179443},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2298203706741333},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.12670505046844482}],"concepts":[{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.7166053056716919},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7053210139274597},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5418968200683594},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.528867781162262},{"id":"https://openalex.org/C163681178","wikidata":"https://www.wikidata.org/wiki/Q1149279","display_name":"Neumann boundary condition","level":3,"score":0.47980907559394836},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.4682173728942871},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.46806326508522034},{"id":"https://openalex.org/C42045870","wikidata":"https://www.wikidata.org/wiki/Q2992268","display_name":"Mixed boundary condition","level":3,"score":0.46161162853240967},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.4461475610733032},{"id":"https://openalex.org/C121770821","wikidata":"https://www.wikidata.org/wiki/Q2072471","display_name":"Hamiltonian system","level":2,"score":0.4384181797504425},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.41720330715179443},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2298203706741333},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.12670505046844482}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/110856058","is_oa":false,"landing_page_url":"https://doi.org/10.1137/110856058","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-01900919v1","is_oa":false,"landing_page_url":"https://hal.science/hal-01900919","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Control and Optimization, 2015, 53 (2), pp.800-815. &#x27E8;10.1137/110856058&#x27E9;","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7","score":0.8999999761581421}],"awards":[{"id":"https://openalex.org/G1645829758","display_name":"Numerical method for nonlinear H infinity output feedback control problem","funder_award_id":"26420415","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"}],"funders":[{"id":"https://openalex.org/F4320334764","display_name":"Japan Society for the Promotion of Science","ror":"https://ror.org/00hhkn466"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W2003533209","https://openalex.org/W2064584027","https://openalex.org/W2085058149","https://openalex.org/W2147038828","https://openalex.org/W2157381229","https://openalex.org/W2162512568","https://openalex.org/W2170448165","https://openalex.org/W4206553310"],"related_works":["https://openalex.org/W2059766049","https://openalex.org/W2368213093","https://openalex.org/W2393913967","https://openalex.org/W1514481392","https://openalex.org/W2378263446","https://openalex.org/W2616265193","https://openalex.org/W4322770021","https://openalex.org/W3136311820","https://openalex.org/W2092505998","https://openalex.org/W2020502833"],"abstract_inverted_index":{"A":[0,19],"distributed":[1,51,93,103,114],"port-Hamiltonian":[2],"(DPH)":[3],"system":[4,21],"is":[5,22],"a":[6,27,53,92,123,137],"framework":[7],"of":[8,26,37,41,48,64,88,140,149],"boundary":[9,32,43,63,72,128,131,147,162],"controls":[10,129],"based":[11,133],"on":[12,52,134],"energy":[13,46,59,74,79,94,104,115,135],"for":[14,160],"partial":[15],"differential":[16],"equations":[17],"(PDEs).":[18],"DPH":[20,89,100,111,120,150],"defined":[23],"in":[24,34,76],"terms":[25],"Stokes--Dirac":[28],"structure":[29],"that":[30,99],"implies":[31],"integrability":[33],"the":[35,42,45,49,62,65,146,155],"sense":[36],"Stokes'":[38],"theorem.":[39],"Because":[40],"integrability,":[44],"flows":[47,60,75,80,105,116],"systems":[50,101,112],"domain":[54],"can":[55,81,106,126],"be":[56,82,107],"transformed":[57,108],"into":[58,109],"across":[61],"domain.":[66],"In":[67],"general,":[68],"there":[69],"might":[70],"exist":[71],"nonintegrable":[73],"PDEs.":[77,141],"Such":[78],"modeled":[83],"by":[84,117],"an":[85],"extended":[86],"representation":[87],"systems,":[90],"called":[91],"flow.":[95],"This":[96,152],"paper":[97,153],"shows":[98],"with":[102],"standard":[110],"without":[113],"adding":[118],"extra":[119],"systems.":[121,151],"As":[122],"result,":[124],"we":[125],"apply":[127],"and":[130,157],"interconnections":[132],"to":[136],"larger":[138],"class":[139],"We":[142],"call":[143],"this":[144],"transformation":[145],"completion":[148],"derives":[154],"necessary":[156],"sufficient":[158],"conditions":[159],"such":[161],"completions.":[163]},"counts_by_year":[{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}
