{"id":"https://openalex.org/W2316547356","doi":"https://doi.org/10.1515/amcs-2016-0002","title":"An integrodifferential approach to modeling, control, state estimation and optimization for heat transfer systems","display_name":"An integrodifferential approach to modeling, control, state estimation and optimization for heat transfer systems","publication_year":2016,"publication_date":"2016-03-01","ids":{"openalex":"https://openalex.org/W2316547356","doi":"https://doi.org/10.1515/amcs-2016-0002","mag":"2316547356"},"language":"en","primary_location":{"id":"doi:10.1515/amcs-2016-0002","is_oa":true,"landing_page_url":"https://doi.org/10.1515/amcs-2016-0002","pdf_url":"https://content.sciendo.com/downloadpdf/journals/amcs/26/1/article-p15.pdf","source":{"id":"https://openalex.org/S117679522","display_name":"International Journal of Applied Mathematics and Computer Science","issn_l":"1641-876X","issn":["1641-876X","2083-8492"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Applied Mathematics and Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://content.sciendo.com/downloadpdf/journals/amcs/26/1/article-p15.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5088498976","display_name":"Andreas Rauh","orcid":"https://orcid.org/0000-0002-1548-6547"},"institutions":[{"id":"https://openalex.org/I4665924","display_name":"University of Rostock","ror":"https://ror.org/03zdwsf69","country_code":"DE","type":"education","lineage":["https://openalex.org/I4665924"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Andreas Rauh","raw_affiliation_strings":["Chair of Mechatronics, University of Rostock, Justus-von-Liebig-Weg 6, D-18059 Rostock, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Chair of Mechatronics, University of Rostock, Justus-von-Liebig-Weg 6, D-18059 Rostock, Germany","institution_ids":["https://openalex.org/I4665924"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5041142568","display_name":"Luise Senkel","orcid":null},"institutions":[{"id":"https://openalex.org/I4665924","display_name":"University of Rostock","ror":"https://ror.org/03zdwsf69","country_code":"DE","type":"education","lineage":["https://openalex.org/I4665924"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Luise Senkel","raw_affiliation_strings":["Chair of Mechatronics, University of Rostock, Justus-von-Liebig-Weg 6, D-18059 Rostock, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Chair of Mechatronics, University of Rostock, Justus-von-Liebig-Weg 6, D-18059 Rostock, Germany","institution_ids":["https://openalex.org/I4665924"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061788743","display_name":"Harald Aschemann","orcid":"https://orcid.org/0000-0001-7789-5699"},"institutions":[{"id":"https://openalex.org/I4665924","display_name":"University of Rostock","ror":"https://ror.org/03zdwsf69","country_code":"DE","type":"education","lineage":["https://openalex.org/I4665924"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Harald Aschemann","raw_affiliation_strings":["Chair of Mechatronics, University of Rostock, Justus-von-Liebig-Weg 6, D-18059 Rostock, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Chair of Mechatronics, University of Rostock, Justus-von-Liebig-Weg 6, D-18059 Rostock, Germany","institution_ids":["https://openalex.org/I4665924"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073834272","display_name":"Vasily Saurin","orcid":"https://orcid.org/0000-0001-9349-6890"},"institutions":[{"id":"https://openalex.org/I4210092536","display_name":"Institute for Problems in Mechanics","ror":"https://ror.org/00nj22y86","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210092536","https://openalex.org/I4210164537"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Vasily V. Saurin","raw_affiliation_strings":["Institute for Problems in Mechanics, Russian Academy of Sciences, Pr. Vernadskogo 101-1, 119526, Moscow, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Problems in Mechanics, Russian Academy of Sciences, Pr. Vernadskogo 101-1, 119526, Moscow, Russia","institution_ids":["https://openalex.org/I4210092536"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5057988919","display_name":"Georgy Kostin","orcid":"https://orcid.org/0000-0001-6526-6246"},"institutions":[{"id":"https://openalex.org/I153845743","display_name":"Moscow Institute of Physics and Technology","ror":"https://ror.org/00v0z9322","country_code":"RU","type":"education","lineage":["https://openalex.org/I153845743"]},{"id":"https://openalex.org/I4210092536","display_name":"Institute for Problems in Mechanics","ror":"https://ror.org/00nj22y86","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210092536","https://openalex.org/I4210164537"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Georgy V. Kostin","raw_affiliation_strings":["Chair of Mechanics and Control Processes Moscow Institute of Physics and Technology, Moscow, Russia","Institute for Problems in Mechanics Russian Academy of Sciences, Pr. Vernadskogo 101-1, 119526, Moscow, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Chair of Mechanics and Control Processes Moscow Institute of Physics and Technology, Moscow, Russia","institution_ids":["https://openalex.org/I153845743"]},{"raw_affiliation_string":"Institute for Problems in Mechanics Russian Academy of Sciences, Pr. Vernadskogo 101-1, 119526, Moscow, Russia","institution_ids":["https://openalex.org/I4210092536"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5088498976"],"corresponding_institution_ids":["https://openalex.org/I4665924"],"apc_list":{"value":4080,"currency":"PLN","value_usd":1100},"apc_paid":{"value":4080,"currency":"PLN","value_usd":1100},"fwci":3.5093,"has_fulltext":true,"cited_by_count":32,"citation_normalized_percentile":{"value":0.92600155,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"26","issue":"1","first_page":"15","last_page":"30"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9927999973297119,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9927999973297119,"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/T10998","display_name":"Heat Transfer and Optimization","score":0.9882000088691711,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical 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/T13286","display_name":"Modeling and Simulation Systems","score":0.982200026512146,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/distributed-parameter-system","display_name":"Distributed parameter system","score":0.7996396422386169},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.6398604512214661},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5775305032730103},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.5765470862388611},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5299763679504395},{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.4797033667564392},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.46174484491348267},{"id":"https://openalex.org/keywords/heat-transfer","display_name":"Heat transfer","score":0.4609973430633545},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.4512750208377838},{"id":"https://openalex.org/keywords/state-space-representation","display_name":"State-space representation","score":0.41063740849494934},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4069588780403137},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2605336308479309},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2472602128982544},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.15675565600395203},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.15486252307891846}],"concepts":[{"id":"https://openalex.org/C112714845","wikidata":"https://www.wikidata.org/wiki/Q1482001","display_name":"Distributed parameter system","level":3,"score":0.7996396422386169},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.6398604512214661},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5775305032730103},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.5765470862388611},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5299763679504395},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.4797033667564392},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.46174484491348267},{"id":"https://openalex.org/C50517652","wikidata":"https://www.wikidata.org/wiki/Q179635","display_name":"Heat transfer","level":2,"score":0.4609973430633545},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.4512750208377838},{"id":"https://openalex.org/C52918065","wikidata":"https://www.wikidata.org/wiki/Q230945","display_name":"State-space representation","level":2,"score":0.41063740849494934},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4069588780403137},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2605336308479309},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2472602128982544},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.15675565600395203},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.15486252307891846},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.0},{"id":"https://openalex.org/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","level":1,"score":0.0},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1515/amcs-2016-0002","is_oa":true,"landing_page_url":"https://doi.org/10.1515/amcs-2016-0002","pdf_url":"https://content.sciendo.com/downloadpdf/journals/amcs/26/1/article-p15.pdf","source":{"id":"https://openalex.org/S117679522","display_name":"International Journal of Applied Mathematics and Computer Science","issn_l":"1641-876X","issn":["1641-876X","2083-8492"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Applied Mathematics and Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:ae169ca868b04fa18ef709cf499d3f4e","is_oa":false,"landing_page_url":"https://doaj.org/article/ae169ca868b04fa18ef709cf499d3f4e","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International Journal of Applied Mathematics and Computer Science, Vol 26, Iss 1, Pp 15-30 (2016)","raw_type":"article"},{"id":"pmh:oai:zbc.uz.zgora.pl:79112","is_oa":false,"landing_page_url":"https://zbc.uz.zgora.pl/dlibra/docmetadata?showContent=true&id=79112","pdf_url":null,"source":{"id":"https://openalex.org/S4306400400","display_name":"Digital library of Zielona Gora (University of Zielona G\u00f3ra)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I46305939","host_organization_name":"University of Zielona G\u00f3ra","host_organization_lineage":["https://openalex.org/I46305939"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://www.amcs.uz.zgora.pl/?action=papers&issue=64","raw_type":"artyku\u0142"}],"best_oa_location":{"id":"doi:10.1515/amcs-2016-0002","is_oa":true,"landing_page_url":"https://doi.org/10.1515/amcs-2016-0002","pdf_url":"https://content.sciendo.com/downloadpdf/journals/amcs/26/1/article-p15.pdf","source":{"id":"https://openalex.org/S117679522","display_name":"International Journal of Applied Mathematics and Computer Science","issn_l":"1641-876X","issn":["1641-876X","2083-8492"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Applied Mathematics and Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.5299999713897705,"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"},{"id":"https://openalex.org/F4320321079","display_name":"Russian Foundation for Basic Research","ror":"https://ror.org/02mh1ke95"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2316547356.pdf","grobid_xml":"https://content.openalex.org/works/W2316547356.grobid-xml"},"referenced_works_count":29,"referenced_works":["https://openalex.org/W34759953","https://openalex.org/W585700782","https://openalex.org/W648594167","https://openalex.org/W1508591224","https://openalex.org/W1536997931","https://openalex.org/W1585773866","https://openalex.org/W1586251222","https://openalex.org/W1973165488","https://openalex.org/W1986156576","https://openalex.org/W1991987282","https://openalex.org/W1994079890","https://openalex.org/W1997506076","https://openalex.org/W2003837134","https://openalex.org/W2003973212","https://openalex.org/W2004920473","https://openalex.org/W2005491168","https://openalex.org/W2016561863","https://openalex.org/W2022977680","https://openalex.org/W2039436968","https://openalex.org/W2047435826","https://openalex.org/W2060573871","https://openalex.org/W2064433758","https://openalex.org/W2068514322","https://openalex.org/W2068680342","https://openalex.org/W2110691857","https://openalex.org/W2126279632","https://openalex.org/W2137445465","https://openalex.org/W2146455945","https://openalex.org/W2548634669"],"related_works":["https://openalex.org/W2378211422","https://openalex.org/W4321353415","https://openalex.org/W2130974462","https://openalex.org/W972276598","https://openalex.org/W2086519370","https://openalex.org/W2028665553","https://openalex.org/W2087343574","https://openalex.org/W2275566567","https://openalex.org/W2057255033","https://openalex.org/W2632601492"],"abstract_inverted_index":{"Abstract":[0],"In":[1],"this":[2,21,140],"paper,":[3],"control-oriented":[4],"modeling":[5,38,75],"approaches":[6,46],"are":[7,16,23,118,158,201],"presented":[8,45],"for":[9,53,166],"distributed":[10,109,205,216],"parameter":[11,70,110],"systems.":[12],"These":[13,100],"systems,":[14],"which":[15,84,200],"in":[17],"the":[18,37,54,74,79,108,144,173,178],"focus":[19],"of":[20,39,56,81,93,107,139,175,180,186,197],"contribution,":[22],"assumed":[24],"to":[25,88,102,124],"be":[26,86],"described":[27],"by":[28,96],"suitable":[29],"partial":[30],"differential":[31],"equations.":[32],"They":[33],"arise":[34],"naturally":[35],"during":[36],"dynamic":[40],"heat":[41,169],"transfer":[42,170],"processes.":[43],"The":[44,137],"aim":[47],"at":[48,172,177],"developing":[49],"finite-dimensional":[50,91],"system":[51,171,184],"descriptions":[52],"design":[55],"various":[57],"open-loop,":[58],"closed-loop,":[59],"and":[60,69,160,164,211],"optimal":[61],"control":[62,156,206],"strategies":[63],"as":[64,66,147,149,204,214],"well":[65],"state,":[67],"disturbance,":[68],"estimation":[71],"techniques.":[72,99],"Here,":[73],"is":[76,142,191],"based":[77],"on":[78],"method":[80],"integrodifferential":[82],"relations,":[83],"can":[85],"employed":[87],"determine":[89],"accurate,":[90],"sets":[92],"state":[94],"equations":[95],"using":[97],"projection":[98],"lead":[101],"a":[103,167,187,194],"finite":[104,115,121,195],"element":[105,116],"representation":[106],"system.":[111],"Where":[112],"applicable,":[113],"these":[114,152],"models":[117],"combined":[119],"with":[120,193],"volume":[122],"representations":[123],"describe":[125],"storage":[126],"variables":[127],"that":[128,190],"are\u2014with":[129],"good":[130],"accuracy\u2014homogeneous":[131],"over":[132],"sufficiently":[133],"large":[134],"space":[135],"domains.":[136],"advantage":[138],"combination":[141],"keeping":[143],"computational":[145],"complexity":[146],"low":[148],"possible.":[150],"Under":[151],"prerequisites,":[153],"real-time":[154],"applicable":[155],"algorithms":[157],"derived":[159],"validated":[161],"via":[162],"simulation":[163],"experiment":[165],"laboratory-scale":[168],"Chair":[174],"Mechatronics":[176],"University":[179],"Rostock.":[181],"This":[182],"benchmark":[183],"consists":[185],"metallic":[188],"rod":[189],"equipped":[192],"number":[196],"Peltier":[198],"elements":[199],"used":[202],"either":[203],"inputs,":[207],"allowing":[208],"active":[209],"cooling":[210],"heating,":[212],"or":[213],"spatially":[215],"disturbance":[217],"inputs.":[218]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2016-06-24T00:00:00"}