{"id":"https://openalex.org/W3175101297","doi":"https://doi.org/10.1137/21m1441365","title":"A Structural Observation on Port-Hamiltonian Systems","display_name":"A Structural Observation on Port-Hamiltonian Systems","publication_year":2023,"publication_date":"2023-04-11","ids":{"openalex":"https://openalex.org/W3175101297","doi":"https://doi.org/10.1137/21m1441365","mag":"3175101297"},"language":"en","primary_location":{"id":"doi:10.1137/21m1441365","is_oa":false,"landing_page_url":"https://doi.org/10.1137/21m1441365","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/A5026571229","display_name":"Rainer Picard","orcid":"https://orcid.org/0000-0003-2261-3513"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Rainer H. Picard","raw_affiliation_strings":["Department of Mathematics, TU Dresden, Dresden, Saxony 01062, Germany"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, TU Dresden, Dresden, Saxony 01062, Germany","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5016058734","display_name":"Sascha Trostorff","orcid":"https://orcid.org/0000-0002-5915-5782"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Sascha Trostorff","raw_affiliation_strings":["Mathematisches Seminar, CAU Kiel, Kiel 24118, Germany"],"affiliations":[{"raw_affiliation_string":"Mathematisches Seminar, CAU Kiel, Kiel 24118, Germany","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052742441","display_name":"Bruce A. Watson","orcid":"https://orcid.org/0000-0003-2403-1752"},"institutions":[{"id":"https://openalex.org/I192619145","display_name":"University of the Witwatersrand","ror":"https://ror.org/03rp50x72","country_code":"ZA","type":"education","lineage":["https://openalex.org/I192619145"]}],"countries":["ZA"],"is_corresponding":false,"raw_author_name":"Bruce Watson","raw_affiliation_strings":["School of Mathematics, University of the Witwatersrand, Johannesburg 2000, South Africa"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, University of the Witwatersrand, Johannesburg 2000, South Africa","institution_ids":["https://openalex.org/I192619145"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5021594797","display_name":"Marcus Waurick","orcid":"https://orcid.org/0000-0003-4498-3574"},"institutions":[{"id":"https://openalex.org/I61893789","display_name":"TU Bergakademie Freiberg","ror":"https://ror.org/031vc2293","country_code":"DE","type":"education","lineage":["https://openalex.org/I61893789"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Marcus Waurick","raw_affiliation_strings":["TU Bergakademie Freiberg, Freiberg 09599, Germany"],"affiliations":[{"raw_affiliation_string":"TU Bergakademie Freiberg, Freiberg 09599, Germany","institution_ids":["https://openalex.org/I61893789"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5026571229"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.9352,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.73092768,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"61","issue":"2","first_page":"511","last_page":"535"},"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":1.0,"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":1.0,"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9941999912261963,"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/T11416","display_name":"Numerical methods for differential equations","score":0.987500011920929,"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/mathematics","display_name":"Mathematics","score":0.8220584392547607},{"id":"https://openalex.org/keywords/hamiltonian","display_name":"Hamiltonian (control theory)","score":0.7230994701385498},{"id":"https://openalex.org/keywords/hamiltonian-system","display_name":"Hamiltonian system","score":0.6368274688720703},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.569952666759491},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5214663743972778},{"id":"https://openalex.org/keywords/congruence","display_name":"Congruence (geometry)","score":0.4420328736305237},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.41949954628944397},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.38684284687042236},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3849889039993286},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.12249767780303955},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.11250963807106018}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8220584392547607},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.7230994701385498},{"id":"https://openalex.org/C121770821","wikidata":"https://www.wikidata.org/wiki/Q2072471","display_name":"Hamiltonian system","level":2,"score":0.6368274688720703},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.569952666759491},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5214663743972778},{"id":"https://openalex.org/C132074034","wikidata":"https://www.wikidata.org/wiki/Q154210","display_name":"Congruence (geometry)","level":2,"score":0.4420328736305237},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.41949954628944397},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.38684284687042236},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3849889039993286},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.12249767780303955},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.11250963807106018},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/21m1441365","is_oa":false,"landing_page_url":"https://doi.org/10.1137/21m1441365","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W1489222793","https://openalex.org/W1504222318","https://openalex.org/W1534821193","https://openalex.org/W1732148871","https://openalex.org/W1967091580","https://openalex.org/W2008246602","https://openalex.org/W2036411735","https://openalex.org/W2064584027","https://openalex.org/W2087693687","https://openalex.org/W2103673400","https://openalex.org/W2110130933","https://openalex.org/W2169969507","https://openalex.org/W2736911325","https://openalex.org/W2750678961","https://openalex.org/W2896541996","https://openalex.org/W2923248979","https://openalex.org/W2962982417","https://openalex.org/W2971019949","https://openalex.org/W3021722416","https://openalex.org/W3033839861","https://openalex.org/W3104493540","https://openalex.org/W3106442958","https://openalex.org/W3183717998","https://openalex.org/W4210346761","https://openalex.org/W4249808547"],"related_works":["https://openalex.org/W2808944898","https://openalex.org/W3196207352","https://openalex.org/W2951724202","https://openalex.org/W3084261076","https://openalex.org/W1996614773","https://openalex.org/W4387820098","https://openalex.org/W2576399385","https://openalex.org/W2963408011","https://openalex.org/W4236324517","https://openalex.org/W1586813864"],"abstract_inverted_index":{".We":[0],"study":[1],"port-Hamiltonian":[2,20,39],"systems":[3],"on":[4,33,47],"a":[5,34,48,64],"family":[6],"of":[7,18,26,50,63,81],"intervals":[8,52],"and":[9,22],"characterize":[10],"all":[11],"boundary":[12],"conditions":[13],"leading":[14],"to":[15,24,44],"m-accretive":[16],"realizations":[17],"the":[19,38,45,60,82],"operator":[21,40],"thus":[23],"generators":[25],"contractive":[27],"semigroups.":[28],"The":[29],"proofs":[30],"are":[31],"based":[32],"structural":[35],"observation":[36],"that":[37],"can":[41],"be":[42],"transformed":[43],"derivative":[46],"familiy":[49],"reference":[51],"by":[53],"suitable":[54],"congruence":[55],"relations,":[56],"allowing":[57],"for":[58,72],"studying":[59],"simpler":[61],"case":[62],"transport":[65],"equation.":[66],"Moreover,":[67],"we":[68],"provide":[69],"well-posedness":[70],"results":[71],"associated":[73],"control":[74],"problems":[75],"without":[76],"assuming":[77],"any":[78],"additional":[79],"regularity":[80],"operators":[83],"involved.Keywordsport-Hamiltonian":[84],"systemsm-accretive":[85],"operatorscongruencesMSC":[86],"codes35F1546N2047B44":[87]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2}],"updated_date":"2026-03-09T08:58:05.943551","created_date":"2025-10-10T00:00:00"}
