{"id":"https://openalex.org/W2053120731","doi":"https://doi.org/10.1093/imamci/dni025","title":"New developments in the application of Pontryagin's Principle for the hydrothermal optimization","display_name":"New developments in the application of Pontryagin's Principle for the hydrothermal optimization","publication_year":2005,"publication_date":"2005-06-03","ids":{"openalex":"https://openalex.org/W2053120731","doi":"https://doi.org/10.1093/imamci/dni025","mag":"2053120731"},"language":"en","primary_location":{"id":"doi:10.1093/imamci/dni025","is_oa":false,"landing_page_url":"https://doi.org/10.1093/imamci/dni025","pdf_url":null,"source":{"id":"https://openalex.org/S162756791","display_name":"IMA Journal of Mathematical Control and Information","issn_l":"0265-0754","issn":["0265-0754","1471-6887"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IMA Journal of Mathematical Control and Information","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/A5046537826","display_name":"L. Bay\u00f3n","orcid":null},"institutions":[{"id":"https://openalex.org/I165339363","display_name":"Universidad de Oviedo","ror":"https://ror.org/006gksa02","country_code":"ES","type":"education","lineage":["https://openalex.org/I165339363"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"L. Bay\u00f3n","raw_affiliation_strings":["Department of Mathematics, E.U.I.T.I., Oviedo University, C./ Manuel Llaneza 75, 33208 Gij\u00f3n, Asturias, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, E.U.I.T.I., Oviedo University, C./ Manuel Llaneza 75, 33208 Gij\u00f3n, Asturias, Spain","institution_ids":["https://openalex.org/I165339363"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005658480","display_name":"J. M. Grau","orcid":"https://orcid.org/0000-0001-6652-0509"},"institutions":[{"id":"https://openalex.org/I165339363","display_name":"Universidad de Oviedo","ror":"https://ror.org/006gksa02","country_code":"ES","type":"education","lineage":["https://openalex.org/I165339363"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"J. M. Grau","raw_affiliation_strings":["Department of Mathematics, E.U.I.T.I., Oviedo University, C./ Manuel Llaneza 75, 33208 Gij\u00f3n, Asturias, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, E.U.I.T.I., Oviedo University, C./ Manuel Llaneza 75, 33208 Gij\u00f3n, Asturias, Spain","institution_ids":["https://openalex.org/I165339363"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102980879","display_name":"M. M. Ruiz","orcid":"https://orcid.org/0000-0001-9366-1956"},"institutions":[{"id":"https://openalex.org/I165339363","display_name":"Universidad de Oviedo","ror":"https://ror.org/006gksa02","country_code":"ES","type":"education","lineage":["https://openalex.org/I165339363"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"M. M. Ruiz","raw_affiliation_strings":["Department of Mathematics, E.U.I.T.I., Oviedo University, C./ Manuel Llaneza 75, 33208 Gij\u00f3n, Asturias, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, E.U.I.T.I., Oviedo University, C./ Manuel Llaneza 75, 33208 Gij\u00f3n, Asturias, Spain","institution_ids":["https://openalex.org/I165339363"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072145355","display_name":"P. M. Su\u00e1rez","orcid":"https://orcid.org/0000-0001-8968-8849"},"institutions":[{"id":"https://openalex.org/I165339363","display_name":"Universidad de Oviedo","ror":"https://ror.org/006gksa02","country_code":"ES","type":"education","lineage":["https://openalex.org/I165339363"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"P. M. Su\u00e1rez","raw_affiliation_strings":["Department of Mathematics, E.U.I.T.I., Oviedo University, C./ Manuel Llaneza 75, 33208 Gij\u00f3n, Asturias, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, E.U.I.T.I., Oviedo University, C./ Manuel Llaneza 75, 33208 Gij\u00f3n, Asturias, Spain","institution_ids":["https://openalex.org/I165339363"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5046537826"],"corresponding_institution_ids":["https://openalex.org/I165339363"],"apc_list":{"value":2582,"currency":"GBP","value_usd":3167},"apc_paid":null,"fwci":0.2473,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.56492212,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"22","issue":"4","first_page":"377","last_page":"393"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.9835000038146973,"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"}},"topics":[{"id":"https://openalex.org/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.9835000038146973,"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"}},{"id":"https://openalex.org/T10104","display_name":"Nanofluid Flow and Heat Transfer","score":0.9749000072479248,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical 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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9739999771118164,"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/pontryagins-minimum-principle","display_name":"Pontryagin's minimum principle","score":0.6399116516113281},{"id":"https://openalex.org/keywords/library-science","display_name":"Library science","score":0.4285932779312134},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4047946333885193},{"id":"https://openalex.org/keywords/humanities","display_name":"Humanities","score":0.3879144787788391},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3414621949195862},{"id":"https://openalex.org/keywords/art","display_name":"Art","score":0.22854551672935486},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.14935779571533203},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.07586082816123962}],"concepts":[{"id":"https://openalex.org/C141803461","wikidata":"https://www.wikidata.org/wiki/Q3491629","display_name":"Pontryagin's minimum principle","level":3,"score":0.6399116516113281},{"id":"https://openalex.org/C161191863","wikidata":"https://www.wikidata.org/wiki/Q199655","display_name":"Library science","level":1,"score":0.4285932779312134},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4047946333885193},{"id":"https://openalex.org/C15708023","wikidata":"https://www.wikidata.org/wiki/Q80083","display_name":"Humanities","level":1,"score":0.3879144787788391},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3414621949195862},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.22854551672935486},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.14935779571533203},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.07586082816123962}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1093/imamci/dni025","is_oa":false,"landing_page_url":"https://doi.org/10.1093/imamci/dni025","pdf_url":null,"source":{"id":"https://openalex.org/S162756791","display_name":"IMA Journal of Mathematical Control and Information","issn_l":"0265-0754","issn":["0265-0754","1471-6887"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IMA Journal of Mathematical Control and Information","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":0,"referenced_works":[],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W2155570364","https://openalex.org/W3034024529","https://openalex.org/W774019230","https://openalex.org/W2771042763","https://openalex.org/W4302321938","https://openalex.org/W2511035558","https://openalex.org/W1979597421","https://openalex.org/W4292923857","https://openalex.org/W2022461576"],"abstract_inverted_index":{"In":[0,29],"this":[1,55,128],"paper":[2],"we":[3,31,119],"have":[4,32],"developed":[5,126],"a":[6,34,102],"much":[7],"simpler":[8],"theory":[9],"than":[10],"previous":[11],"ones":[12],"that":[13,82],"resolves":[14],"the":[15,18,38,42,51,70,79,85,88,92,97,106,114,124,131],"problem":[16,24,60],"of":[17,20,41,63,87,91],"optimization":[19,80],"hydrothermal":[21,93],"systems.":[22],"The":[23],"involves":[25],"non-holonomic":[26],"inequality":[27],"constraints.":[28],"particular,":[30],"established":[33],"necessary":[35],"condition":[36],"for":[37,53,127],"stationary":[39],"functions":[40],"functional.":[43,72],"We":[44,95],"shall":[45],"use":[46],"Pontryagin's":[47],"Minimum":[48],"Principle":[49],"as":[50],"basis":[52],"proving":[54],"theorem,":[56],"setting":[57],"out":[58,111],"our":[59],"in":[61,66],"terms":[62],"optimal":[64,89],"control":[65],"continuous":[67],"time,":[68],"with":[69,105,130],"Lagrange-type":[71],"This":[73],"theorem":[74],"allows":[75],"us":[76],"to":[77,84,108],"elaborate":[78],"algorithm":[81,125],"leads":[83],"determination":[86],"solution":[90],"system.":[94],"generalize":[96],"problem,":[98],"taking":[99],"into":[100],"account":[101],"cost":[103],"associated":[104],"water,":[107],"then":[109],"set":[110],"and":[112],"solve":[113],"corresponding":[115],"Bolza's":[116],"problem.":[117],"Finally,":[118],"present":[120],"an":[121],"example":[122],"employing":[123],"purpose":[129],"\u2018Mathematica\u2019":[132],"package.":[133]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-06-16T07:32:37.131356","created_date":"2025-10-10T00:00:00"}