{"id":"https://openalex.org/W2924132978","doi":"https://doi.org/10.1109/cdc40024.2019.9028863","title":"The turnpike property in nonlinear optimal control \u2014 A geometric approach","display_name":"The turnpike property in nonlinear optimal control \u2014 A geometric approach","publication_year":2019,"publication_date":"2019-12-01","ids":{"openalex":"https://openalex.org/W2924132978","doi":"https://doi.org/10.1109/cdc40024.2019.9028863","mag":"2924132978"},"language":"en","primary_location":{"id":"doi:10.1109/cdc40024.2019.9028863","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc40024.2019.9028863","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 IEEE 58th 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":null,"display_name":"Noboru Sakamoto","orcid":null},"institutions":[{"id":"https://openalex.org/I119031078","display_name":"Nanzan University","ror":"https://ror.org/042b6j696","country_code":"JP","type":"education","lineage":["https://openalex.org/I119031078"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Noboru Sakamoto","raw_affiliation_strings":["Faculty of Science and Engineering, Nanzan University, Nagoya, Japan"],"affiliations":[{"raw_affiliation_string":"Faculty of Science and Engineering, Nanzan University, Nagoya, Japan","institution_ids":["https://openalex.org/I119031078"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Dario Pighin","orcid":null},"institutions":[{"id":"https://openalex.org/I136040515","display_name":"Universidad de Deusto","ror":"https://ror.org/00ne6sr39","country_code":"ES","type":"education","lineage":["https://openalex.org/I136040515"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Dario Pighin","raw_affiliation_strings":["Chair of Computational Mathematics, Fundaci\u00f3n Deusto, Bilbao, Basque, Spain"],"affiliations":[{"raw_affiliation_string":"Chair of Computational Mathematics, Fundaci\u00f3n Deusto, Bilbao, Basque, Spain","institution_ids":["https://openalex.org/I136040515"]}]},{"author_position":"last","author":{"id":null,"display_name":"Enrique Zuazua","orcid":null},"institutions":[{"id":"https://openalex.org/I136040515","display_name":"Universidad de Deusto","ror":"https://ror.org/00ne6sr39","country_code":"ES","type":"education","lineage":["https://openalex.org/I136040515"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Enrique Zuazua","raw_affiliation_strings":["Chair of Computational Mathematics, Fundaci\u00f3n Deusto, Bilbao, Basque, Spain"],"affiliations":[{"raw_affiliation_string":"Chair of Computational Mathematics, Fundaci\u00f3n Deusto, Bilbao, Basque, Spain","institution_ids":["https://openalex.org/I136040515"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I119031078"],"apc_list":null,"apc_paid":null,"fwci":1.5113,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.82468709,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"2422","last_page":"2427"},"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":0.9962999820709229,"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":0.9962999820709229,"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9923999905586243,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9789999723434448,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.6912999749183655},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.6438999772071838},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5916000008583069},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.5903000235557556},{"id":"https://openalex.org/keywords/dynamical-system","display_name":"Dynamical system (definition)","score":0.4401000142097473},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.41510000824928284},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.3727000057697296}],"concepts":[{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.6912999749183655},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.6438999772071838},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5916000008583069},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.5903000235557556},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5450000166893005},{"id":"https://openalex.org/C33962884","wikidata":"https://www.wikidata.org/wiki/Q378637","display_name":"Dynamical system (definition)","level":3,"score":0.4401000142097473},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.41510000824928284},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4056999981403351},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.40059998631477356},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.3727000057697296},{"id":"https://openalex.org/C2983030100","wikidata":"https://www.wikidata.org/wiki/Q638328","display_name":"Nonlinear dynamical systems","level":3,"score":0.3621000051498413},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.34929999709129333},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3027999997138977},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.30079999566078186},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.28349998593330383},{"id":"https://openalex.org/C91581856","wikidata":"https://www.wikidata.org/wiki/Q2707001","display_name":"Nonlinear control","level":3,"score":0.2768000066280365},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.2615000009536743}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc40024.2019.9028863","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc40024.2019.9028863","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 IEEE 58th Conference on Decision and Control (CDC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W1209334740","https://openalex.org/W1967965813","https://openalex.org/W1972079118","https://openalex.org/W2002357820","https://openalex.org/W2012507994","https://openalex.org/W2024891059","https://openalex.org/W2060088282","https://openalex.org/W2064854048","https://openalex.org/W2077730310","https://openalex.org/W2079261393","https://openalex.org/W2085148928","https://openalex.org/W2095477585","https://openalex.org/W2111857415","https://openalex.org/W2131407609","https://openalex.org/W2141354966","https://openalex.org/W2141568824","https://openalex.org/W2257848148","https://openalex.org/W2317108228","https://openalex.org/W2479760086","https://openalex.org/W2529725405","https://openalex.org/W2556018921","https://openalex.org/W2593095272","https://openalex.org/W2604640182","https://openalex.org/W2606449094","https://openalex.org/W2807083281","https://openalex.org/W2889596629","https://openalex.org/W4210605524","https://openalex.org/W6603036728"],"related_works":[],"abstract_inverted_index":{"This":[0],"paper":[1],"presents,":[2],"using":[3],"dynamical":[4,29],"system":[5],"theory,":[6],"a":[7,23],"framework":[8],"for":[9,46,58,70],"investigating":[10],"the":[11,47,59,74],"turnpike":[12,48,75],"property":[13,25],"in":[14,27],"nonlinear":[15],"optimal":[16,39],"control.":[17],"First,":[18],"it":[19,37],"is":[20,53],"shown":[21],"that":[22],"turnpike-like":[24],"appears":[26],"general":[28],"systems":[30],"with":[31],"hyperbolic":[32],"equilibrium":[33],"and":[34,55],"then,":[35],"apply":[36],"to":[38,42,66],"control":[40],"problems":[41],"obtain":[43],"sufficient":[44],"conditions":[45],"occurs.":[49],"The":[50],"approach":[51],"taken":[52],"geometric":[54],"gives":[56],"insights":[57],"behaviors":[60],"of":[61],"controlled":[62],"trajectories,":[63],"allowing":[64],"us":[65],"find":[67],"simpler":[68],"proofs":[69],"existing":[71],"results":[72],"on":[73],"properties.":[76]},"counts_by_year":[{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":2}],"updated_date":"2026-03-07T16:01:11.037858","created_date":"2019-04-01T00:00:00"}