{"id":"https://openalex.org/W4210351391","doi":"https://doi.org/10.1109/cdc45484.2021.9683079","title":"Inferring the adjoint turnpike property from the primal turnpike property","display_name":"Inferring the adjoint turnpike property from the primal turnpike property","publication_year":2021,"publication_date":"2021-12-14","ids":{"openalex":"https://openalex.org/W4210351391","doi":"https://doi.org/10.1109/cdc45484.2021.9683079"},"language":"en","primary_location":{"id":"doi:10.1109/cdc45484.2021.9683079","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc45484.2021.9683079","pdf_url":null,"source":{"id":"https://openalex.org/S4363607724","display_name":"2021 60th IEEE Conference on Decision and Control (CDC)","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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 60th IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-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/A5054359566","display_name":"Timm Faulwasser","orcid":"https://orcid.org/0000-0002-6892-7406"},"institutions":[{"id":"https://openalex.org/I200332995","display_name":"TU Dortmund University","ror":"https://ror.org/01k97gp34","country_code":"DE","type":"education","lineage":["https://openalex.org/I200332995"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Timm Faulwasser","raw_affiliation_strings":["Institute of Energy Systems, Energy Efficiency and Energy Economics, TU Dortmund University, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Energy Systems, Energy Efficiency and Energy Economics, TU Dortmund University, Germany","institution_ids":["https://openalex.org/I200332995"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5054568856","display_name":"Lars Gr\u00fcne","orcid":"https://orcid.org/0000-0002-9331-4097"},"institutions":[{"id":"https://openalex.org/I200332995","display_name":"TU Dortmund University","ror":"https://ror.org/01k97gp34","country_code":"DE","type":"education","lineage":["https://openalex.org/I200332995"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Lars Grune","raw_affiliation_strings":["Institute of Energy Systems, Energy Efficiency and Energy Economics, TU Dortmund University, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Energy Systems, Energy Efficiency and Energy Economics, TU Dortmund University, Germany","institution_ids":["https://openalex.org/I200332995"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006418694","display_name":"Jukka-Pekka Humaloja","orcid":"https://orcid.org/0000-0002-6926-8756"},"institutions":[{"id":"https://openalex.org/I200332995","display_name":"TU Dortmund University","ror":"https://ror.org/01k97gp34","country_code":"DE","type":"education","lineage":["https://openalex.org/I200332995"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Jukka-Pekka Humaloja","raw_affiliation_strings":["Institute of Energy Systems, Energy Efficiency and Energy Economics, TU Dortmund University, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Energy Systems, Energy Efficiency and Energy Economics, TU Dortmund University, Germany","institution_ids":["https://openalex.org/I200332995"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002858094","display_name":"Manuel Schaller","orcid":"https://orcid.org/0000-0002-8081-5108"},"institutions":[{"id":"https://openalex.org/I200332995","display_name":"TU Dortmund University","ror":"https://ror.org/01k97gp34","country_code":"DE","type":"education","lineage":["https://openalex.org/I200332995"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Manuel Schaller","raw_affiliation_strings":["Institute of Energy Systems, Energy Efficiency and Energy Economics, TU Dortmund University, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Energy Systems, Energy Efficiency and Energy Economics, TU Dortmund University, Germany","institution_ids":["https://openalex.org/I200332995"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.4353,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.52844895,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"112","issue":null,"first_page":"2578","last_page":"2583"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","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/T11110","display_name":"Stability and Controllability of Differential Equations","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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9957000017166138,"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"}},{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9940999746322632,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/semigroup","display_name":"Semigroup","score":0.7292264699935913},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.7174516916275024},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.701410174369812},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6730895042419434},{"id":"https://openalex.org/keywords/generator","display_name":"Generator (circuit theory)","score":0.6156038641929626},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5479181408882141},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5256824493408203},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5230591893196106},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.4863436818122864},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.443270206451416},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3385331332683563},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.23968669772148132},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.12159496545791626},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.06210330128669739}],"concepts":[{"id":"https://openalex.org/C207405024","wikidata":"https://www.wikidata.org/wiki/Q207348","display_name":"Semigroup","level":2,"score":0.7292264699935913},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.7174516916275024},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.701410174369812},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6730895042419434},{"id":"https://openalex.org/C2780992000","wikidata":"https://www.wikidata.org/wiki/Q17016113","display_name":"Generator (circuit theory)","level":3,"score":0.6156038641929626},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5479181408882141},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5256824493408203},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5230591893196106},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.4863436818122864},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.443270206451416},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3385331332683563},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.23968669772148132},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.12159496545791626},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.06210330128669739},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/cdc45484.2021.9683079","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc45484.2021.9683079","pdf_url":null,"source":{"id":"https://openalex.org/S4363607724","display_name":"2021 60th IEEE Conference on Decision and Control (CDC)","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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 60th IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},{"id":"pmh:oai:eref.uni-bayreuth.de:68677","is_oa":false,"landing_page_url":"https://eref.uni-bayreuth.de/68677/","pdf_url":null,"source":{"id":"https://openalex.org/S4377196442","display_name":"ERef Bayreuth (University of Bayreuth)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I54009628","host_organization_name":"University of Bayreuth","host_organization_lineage":["https://openalex.org/I54009628"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Aufsatz in einem Buch"},{"id":"pmh:oai:tore.tuhh.de:11420/46189","is_oa":false,"landing_page_url":"https://hdl.handle.net/11420/46189","pdf_url":null,"source":{"id":"https://openalex.org/S4306401751","display_name":"tub.dok (Hamburg University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I884043246","host_organization_name":"Hamburg University of Technology","host_organization_lineage":["https://openalex.org/I884043246"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Conference Paper"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321108","display_name":"Academy of Finland","ror":"https://ror.org/05k73zm37"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W569093612","https://openalex.org/W1209334740","https://openalex.org/W1527296550","https://openalex.org/W1538686203","https://openalex.org/W1606157354","https://openalex.org/W1963883253","https://openalex.org/W1996088437","https://openalex.org/W2024891059","https://openalex.org/W2032816801","https://openalex.org/W2060088282","https://openalex.org/W2079261393","https://openalex.org/W2094143568","https://openalex.org/W2103284380","https://openalex.org/W2109168354","https://openalex.org/W2141354966","https://openalex.org/W2257848148","https://openalex.org/W2503933042","https://openalex.org/W2529725405","https://openalex.org/W2613633283","https://openalex.org/W2898464076","https://openalex.org/W2904139432","https://openalex.org/W2924132978","https://openalex.org/W2963337560","https://openalex.org/W2991649084","https://openalex.org/W3002094786","https://openalex.org/W3015131560","https://openalex.org/W3015724939","https://openalex.org/W3020729051","https://openalex.org/W3027053598","https://openalex.org/W3102997397","https://openalex.org/W4205410385","https://openalex.org/W4237860500","https://openalex.org/W6775347219","https://openalex.org/W6777554390"],"related_works":["https://openalex.org/W4280588605","https://openalex.org/W2949318565","https://openalex.org/W3166760307","https://openalex.org/W2062894808","https://openalex.org/W2954681826","https://openalex.org/W2100164385","https://openalex.org/W2626704466","https://openalex.org/W3199047147","https://openalex.org/W2388502123","https://openalex.org/W2001719168"],"abstract_inverted_index":{"This":[0],"paper":[1],"investigates":[2],"an":[3,22],"interval":[4,23],"turnpike":[5,24,53],"result":[6],"for":[7],"the":[8,19,51,59,76],"adjoints/costates":[9],"of":[10,21,37],"finite-":[11],"and":[12,27,49],"infinite-dimensional":[13],"nonlinear":[14],"optimal":[15],"control":[16],"problems":[17],"under":[18,55],"assumption":[20],"on":[25,58],"states":[26],"controls.":[28],"We":[29,63],"consider":[30],"stabilizable":[31],"dynamics":[32],"governed":[33],"by":[34],"a":[35,38,45,66,70],"generator":[36],"semigroup":[39],"with":[40,69],"finite-dimensional":[41],"unstable":[42],"part":[43],"satisfying":[44],"spectral":[46],"decomposition":[47],"condition":[48],"show":[50],"desired":[52],"property":[54],"continuity":[56],"assumptions":[57],"first-order":[60],"optimality":[61],"conditions.":[62],"further":[64],"provide":[65],"numerical":[67],"example":[68],"semilinear":[71],"heat":[72],"equation":[73],"to":[74],"illustrate":[75],"results.":[77]},"counts_by_year":[{"year":2023,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}