{"id":"https://openalex.org/W2899947987","doi":"https://doi.org/10.1137/18m1225811","title":"On the Turnpike Property and the Receding-Horizon Method for Linear-Quadratic Optimal Control Problems","display_name":"On the Turnpike Property and the Receding-Horizon Method for Linear-Quadratic Optimal Control Problems","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W2899947987","doi":"https://doi.org/10.1137/18m1225811","mag":"2899947987"},"language":"en","primary_location":{"id":"doi:10.1137/18m1225811","is_oa":false,"landing_page_url":"https://doi.org/10.1137/18m1225811","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":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1811.02421","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5008879804","display_name":"Tobias Breiten","orcid":"https://orcid.org/0000-0002-9815-4897"},"institutions":[{"id":"https://openalex.org/I15766117","display_name":"University of Graz","ror":"https://ror.org/01faaaf77","country_code":"AT","type":"education","lineage":["https://openalex.org/I15766117"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"Tobias Breiten","raw_affiliation_strings":["University of Graz"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Graz","institution_ids":["https://openalex.org/I15766117"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5089487313","display_name":"Laurent Pfeiffer","orcid":"https://orcid.org/0000-0001-6766-378X"},"institutions":[{"id":"https://openalex.org/I15766117","display_name":"University of Graz","ror":"https://ror.org/01faaaf77","country_code":"AT","type":"education","lineage":["https://openalex.org/I15766117"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Laurent Pfeiffer","raw_affiliation_strings":["University of Graz"],"raw_orcid":"https://orcid.org/0000-0001-6766-378X","affiliations":[{"raw_affiliation_string":"University of Graz","institution_ids":["https://openalex.org/I15766117"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5008879804"],"corresponding_institution_ids":["https://openalex.org/I15766117"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.00490879,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"58","issue":"2","first_page":"1077","last_page":"1102"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9983000159263611,"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":0.9983000159263611,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.9912999868392944,"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/T11082","display_name":"Spacecraft Dynamics and Control","score":0.9847000241279602,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.7160392999649048},{"id":"https://openalex.org/keywords/lagrange-multiplier","display_name":"Lagrange multiplier","score":0.6095972657203674},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.5808213949203491},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5749416351318359},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5680049061775208},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.520922839641571},{"id":"https://openalex.org/keywords/horizon","display_name":"Horizon","score":0.5207167267799377},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.4679953455924988},{"id":"https://openalex.org/keywords/trajectory","display_name":"Trajectory","score":0.4588012099266052},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4191358983516693},{"id":"https://openalex.org/keywords/linear-quadratic-regulator","display_name":"Linear-quadratic regulator","score":0.41080567240715027},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3943558633327484},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.34351614117622375},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2452438771724701}],"concepts":[{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.7160392999649048},{"id":"https://openalex.org/C73684929","wikidata":"https://www.wikidata.org/wiki/Q598870","display_name":"Lagrange multiplier","level":2,"score":0.6095972657203674},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.5808213949203491},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5749416351318359},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5680049061775208},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.520922839641571},{"id":"https://openalex.org/C159176650","wikidata":"https://www.wikidata.org/wiki/Q43261","display_name":"Horizon","level":2,"score":0.5207167267799377},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.4679953455924988},{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.4588012099266052},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4191358983516693},{"id":"https://openalex.org/C98779006","wikidata":"https://www.wikidata.org/wiki/Q2520550","display_name":"Linear-quadratic regulator","level":3,"score":0.41080567240715027},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3943558633327484},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.34351614117622375},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2452438771724701},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1137/18m1225811","is_oa":false,"landing_page_url":"https://doi.org/10.1137/18m1225811","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"},{"id":"pmh:oai:arXiv.org:1811.02421","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1811.02421","pdf_url":"https://arxiv.org/pdf/1811.02421","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"mag:2899947987","is_oa":true,"landing_page_url":"http://export.arxiv.org/pdf/1811.02421","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:HAL:hal-03113182v1","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-03113182","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Control and Optimization, 2020, 58 (2), pp.26. &#x27E8;10.1137/18M1225811&#x27E9;","raw_type":"Journal articles"},{"id":"doi:10.48550/arxiv.1811.02421","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1811.02421","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1811.02421","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1811.02421","pdf_url":"https://arxiv.org/pdf/1811.02421","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G8580170231","display_name":null,"funder_award_id":"668998","funder_id":"https://openalex.org/F4320332999","funder_display_name":"Horizon 2020 Framework Programme"}],"funders":[{"id":"https://openalex.org/F4320332999","display_name":"Horizon 2020 Framework Programme","ror":"https://ror.org/00k4n6c32"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W1527296550","https://openalex.org/W1631623342","https://openalex.org/W1974543079","https://openalex.org/W1978956894","https://openalex.org/W1994765701","https://openalex.org/W2016691039","https://openalex.org/W2024891059","https://openalex.org/W2060088282","https://openalex.org/W2060542320","https://openalex.org/W2062915697","https://openalex.org/W2079261393","https://openalex.org/W2165545652","https://openalex.org/W2168027532","https://openalex.org/W2416296264","https://openalex.org/W2529725405","https://openalex.org/W2556018921","https://openalex.org/W2604640182","https://openalex.org/W2766867245","https://openalex.org/W2793725483","https://openalex.org/W2891155270","https://openalex.org/W2898464076","https://openalex.org/W2900447085","https://openalex.org/W2962801599","https://openalex.org/W2964087020","https://openalex.org/W2982100749"],"related_works":["https://openalex.org/W3015724939","https://openalex.org/W2900447085","https://openalex.org/W2282793296","https://openalex.org/W1523352032","https://openalex.org/W2095257524","https://openalex.org/W2126024957","https://openalex.org/W2382675819","https://openalex.org/W1987702225","https://openalex.org/W2989925079","https://openalex.org/W2065251366","https://openalex.org/W1985132769","https://openalex.org/W172696638","https://openalex.org/W2182531940","https://openalex.org/W1979760373","https://openalex.org/W2062331218","https://openalex.org/W2968200900","https://openalex.org/W2500264503","https://openalex.org/W2126004484","https://openalex.org/W2136616597","https://openalex.org/W2054725857"],"abstract_inverted_index":{"Optimal":[0],"control":[1,27,54,78],"problems":[2,28,79,87],"with":[3,12,29,80,121],"a":[4,23,72],"very":[5,100],"large":[6],"time":[7,99],"horizon":[8],"can":[9],"be":[10],"tackled":[11],"the":[13,40,43,49,53,57,61,65,89,92,98,103,106,117,122,129,132],"Receding":[14],"Horizon":[15],"Control":[16],"(RHC)":[17],"method,":[18],"which":[19],"consists":[20],"in":[21,128],"solving":[22],"sequence":[24],"of":[25,36,42,52,64,74,97,131],"optimal":[26,77,93],"small":[30],"prediction":[31,50],"horizon.":[32],"The":[33,67],"main":[34],"result":[35,68],"this":[37],"article":[38],"is":[39,69],"proof":[41],"exponential":[44],"convergence":[45],"(with":[46],"respect":[47],"to":[48,102,105],"horizon)":[51],"generated":[55],"by":[56],"RHC":[58,133],"method":[59],"towards":[60],"exact":[62],"solution":[63,104],"problem.":[66,110],"established":[70],"for":[71],"class":[73],"infinite-dimensional":[75],"linear-quadratic":[76],"time-independent":[81],"dynamics":[82],"and":[83],"integral":[84],"cost.":[85],"Such":[86],"satisfy":[88],"turnpike":[90],"property:":[91],"trajectory":[94],"remains":[95],"most":[96],"close":[101],"associated":[107,120],"static":[108,123],"optimization":[109,124],"Specific":[111],"terminal":[112],"cost":[113],"functions,":[114],"derived":[115],"from":[116],"Lagrange":[118],"multiplier":[119],"problem,":[125],"are":[126],"employed":[127],"implementation":[130],"method.":[134]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}
