{"id":"https://openalex.org/W4361213316","doi":"https://doi.org/10.3390/e25040577","title":"Geometric Modeling for Control of Thermodynamic Systems","display_name":"Geometric Modeling for Control of Thermodynamic Systems","publication_year":2023,"publication_date":"2023-03-27","ids":{"openalex":"https://openalex.org/W4361213316","doi":"https://doi.org/10.3390/e25040577","pmid":"https://pubmed.ncbi.nlm.nih.gov/37190364"},"language":"en","primary_location":{"id":"doi:10.3390/e25040577","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e25040577","pdf_url":"https://www.mdpi.com/1099-4300/25/4/577/pdf?version=1679998221","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1099-4300/25/4/577/pdf?version=1679998221","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5005018540","display_name":"Arjan van der Schaft","orcid":"https://orcid.org/0000-0002-2383-9234"},"institutions":[{"id":"https://openalex.org/I169381384","display_name":"University of Groningen","ror":"https://ror.org/012p63287","country_code":"NL","type":"education","lineage":["https://openalex.org/I169381384"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"Arjan van der Schaft","raw_affiliation_strings":["Bernoulli Institute for Mathematics, Computer Science and Artificial Intelligence, Jan C. Willems Center for Systems and Control, University of Groningen, 9747 AG Groningen, The Netherlands"],"raw_orcid":"https://orcid.org/0000-0002-2383-9234","affiliations":[{"raw_affiliation_string":"Bernoulli Institute for Mathematics, Computer Science and Artificial Intelligence, Jan C. Willems Center for Systems and Control, University of Groningen, 9747 AG Groningen, The Netherlands","institution_ids":["https://openalex.org/I169381384"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5005018540"],"corresponding_institution_ids":["https://openalex.org/I169381384"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2227},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2227},"fwci":0.4599,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.55310965,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":97},"biblio":{"volume":"25","issue":"4","first_page":"577","last_page":"577"},"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/T12763","display_name":"ATP Synthase and ATPases Research","score":0.977400004863739,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/thermodynamic-system","display_name":"Thermodynamic system","score":0.7419385313987732},{"id":"https://openalex.org/keywords/interconnection","display_name":"Interconnection","score":0.6510905623435974},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.5965981483459473},{"id":"https://openalex.org/keywords/entropy-production","display_name":"Entropy production","score":0.5955566167831421},{"id":"https://openalex.org/keywords/hamiltonian-system","display_name":"Hamiltonian system","score":0.48927590250968933},{"id":"https://openalex.org/keywords/factorization","display_name":"Factorization","score":0.4383968114852905},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.4162304401397705},{"id":"https://openalex.org/keywords/thermodynamic-process","display_name":"Thermodynamic process","score":0.41604018211364746},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39580199122428894},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3772200047969818},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.31777411699295044},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.26969605684280396},{"id":"https://openalex.org/keywords/material-properties","display_name":"Material properties","score":0.2694363594055176},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.14629769325256348},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.09175080060958862}],"concepts":[{"id":"https://openalex.org/C14380042","wikidata":"https://www.wikidata.org/wiki/Q503327","display_name":"Thermodynamic system","level":2,"score":0.7419385313987732},{"id":"https://openalex.org/C123745756","wikidata":"https://www.wikidata.org/wiki/Q1665949","display_name":"Interconnection","level":2,"score":0.6510905623435974},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.5965981483459473},{"id":"https://openalex.org/C207282930","wikidata":"https://www.wikidata.org/wiki/Q5380811","display_name":"Entropy production","level":2,"score":0.5955566167831421},{"id":"https://openalex.org/C121770821","wikidata":"https://www.wikidata.org/wiki/Q2072471","display_name":"Hamiltonian system","level":2,"score":0.48927590250968933},{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.4383968114852905},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4162304401397705},{"id":"https://openalex.org/C105236789","wikidata":"https://www.wikidata.org/wiki/Q213016","display_name":"Thermodynamic process","level":3,"score":0.41604018211364746},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39580199122428894},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3772200047969818},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.31777411699295044},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.26969605684280396},{"id":"https://openalex.org/C31555180","wikidata":"https://www.wikidata.org/wiki/Q3523867","display_name":"Material properties","level":2,"score":0.2694363594055176},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14629769325256348},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.09175080060958862},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0}],"mesh":[],"locations_count":7,"locations":[{"id":"doi:10.3390/e25040577","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e25040577","pdf_url":"https://www.mdpi.com/1099-4300/25/4/577/pdf?version=1679998221","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},{"id":"pmid:37190364","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/37190364","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy (Basel, Switzerland)","raw_type":null},{"id":"pmh:oai:pure.rug.nl:openaire/c61b2ebd-8b09-4a6a-b5bf-31ee80c16335","is_oa":true,"landing_page_url":"https://research.rug.nl/en/publications/c61b2ebd-8b09-4a6a-b5bf-31ee80c16335","pdf_url":null,"source":{"id":"https://openalex.org/S4306400420","display_name":"University of Groningen research database (University of Groningen / Centre for Information Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I169381384","host_organization_name":"University of Groningen","host_organization_lineage":["https://openalex.org/I169381384"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"van der Schaft, A 2023, 'Geometric Modeling for Control of Thermodynamic Systems', Entropy, vol. 25, no. 4, 577. https://doi.org/10.3390/e25040577","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:pubmedcentral.nih.gov:10137994","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/10137994","pdf_url":"https://pmc.ncbi.nlm.nih.gov/articles/PMC10137994/pdf/entropy-25-00577.pdf","source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy (Basel)","raw_type":"Text"},{"id":"pmh:oai:doaj.org/article:a03bfab9ae364555bb2c89d842b66e70","is_oa":true,"landing_page_url":"https://doaj.org/article/a03bfab9ae364555bb2c89d842b66e70","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy, Vol 25, Iss 4, p 577 (2023)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/1099-4300/25/4/577/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/e25040577","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy; Volume 25; Issue 4; Pages: 577","raw_type":"Text"},{"id":"pmh:oai:pure.rug.nl:publications/c61b2ebd-8b09-4a6a-b5bf-31ee80c16335","is_oa":true,"landing_page_url":"https://hdl.handle.net/11370/c61b2ebd-8b09-4a6a-b5bf-31ee80c16335","pdf_url":null,"source":{"id":"https://openalex.org/S4306400420","display_name":"University of Groningen research database (University of Groningen / Centre for Information Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I169381384","host_organization_name":"University of Groningen","host_organization_lineage":["https://openalex.org/I169381384"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"van der Schaft, A 2023, 'Geometric Modeling for Control of Thermodynamic Systems', Entropy, vol. 25, no. 4, 577. https://doi.org/10.3390/e25040577","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.3390/e25040577","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e25040577","pdf_url":"https://www.mdpi.com/1099-4300/25/4/577/pdf?version=1679998221","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy","score":0.8500000238418579}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4361213316.pdf"},"referenced_works_count":59,"referenced_works":["https://openalex.org/W1578706793","https://openalex.org/W1928035255","https://openalex.org/W1967140790","https://openalex.org/W1974571176","https://openalex.org/W2004214662","https://openalex.org/W2017570799","https://openalex.org/W2018152530","https://openalex.org/W2023757387","https://openalex.org/W2024177714","https://openalex.org/W2025569385","https://openalex.org/W2028710371","https://openalex.org/W2035188022","https://openalex.org/W2036546758","https://openalex.org/W2037027189","https://openalex.org/W2048253740","https://openalex.org/W2057455674","https://openalex.org/W2059206957","https://openalex.org/W2064854048","https://openalex.org/W2071140831","https://openalex.org/W2071449583","https://openalex.org/W2075878724","https://openalex.org/W2081837399","https://openalex.org/W2085058149","https://openalex.org/W2087793319","https://openalex.org/W2089121607","https://openalex.org/W2095477585","https://openalex.org/W2096876511","https://openalex.org/W2126066275","https://openalex.org/W2126479355","https://openalex.org/W2127665720","https://openalex.org/W2141445256","https://openalex.org/W2143151266","https://openalex.org/W2144355672","https://openalex.org/W2144939122","https://openalex.org/W2190908850","https://openalex.org/W2290094406","https://openalex.org/W2403920481","https://openalex.org/W2530863578","https://openalex.org/W2553290947","https://openalex.org/W2555254196","https://openalex.org/W2765911775","https://openalex.org/W2767027078","https://openalex.org/W2791312470","https://openalex.org/W2808859382","https://openalex.org/W2809648346","https://openalex.org/W2895857342","https://openalex.org/W2900145103","https://openalex.org/W2900230678","https://openalex.org/W2969594930","https://openalex.org/W3047008551","https://openalex.org/W3101826828","https://openalex.org/W3102395334","https://openalex.org/W3106527242","https://openalex.org/W3128528828","https://openalex.org/W3193513091","https://openalex.org/W3200915726","https://openalex.org/W3215121600","https://openalex.org/W4254358219","https://openalex.org/W4306651510"],"related_works":["https://openalex.org/W2005672880","https://openalex.org/W2359018386","https://openalex.org/W3217059208","https://openalex.org/W4235957844","https://openalex.org/W2041000005","https://openalex.org/W78286867","https://openalex.org/W2387091889","https://openalex.org/W4205537117","https://openalex.org/W1123163195","https://openalex.org/W4205569370"],"abstract_inverted_index":{"This":[0,77],"paper":[1],"discusses":[2],"the":[3,22,28,36,39,70],"way":[4],"that":[5],"energy":[6],"and":[7,24,47,65],"entropy":[8,41],"can":[9,50],"be":[10,51],"regarded":[11],"as":[12],"storage":[13],"functions":[14],"with":[15],"respect":[16],"to":[17,21,44,60,69],"supply":[18],"rates":[19],"corresponding":[20],"power":[23],"thermal":[25],"ports":[26],"of":[27,38,72,85],"thermodynamic":[29,86],"system.":[30],"Then,":[31],"this":[32,49,67],"research":[33],"demonstrates":[34],"how":[35,48,66],"factorization":[37],"irreversible":[40],"production":[42],"leads":[43,68],"quasi-Hamiltonian":[45],"formulations,":[46],"used":[52],"for":[53,81],"stability":[54],"analysis.":[55],"The":[56],"Liouville":[57],"geometry":[58,62],"approach":[59],"contact":[61],"is":[63,75,79],"summarized,":[64],"definition":[71],"port-thermodynamic":[73],"systems":[74],"discussed.":[76],"notion":[78],"utilized":[80],"control":[82],"by":[83],"interconnection":[84],"systems.":[87]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3}],"updated_date":"2026-08-01T09:00:35.917206","created_date":"2025-10-10T00:00:00"}