{"id":"https://openalex.org/W2973079150","doi":"https://doi.org/10.1109/tac.2019.2941425","title":"Converse Optimality for Discrete-Time Systems","display_name":"Converse Optimality for Discrete-Time Systems","publication_year":2019,"publication_date":"2019-09-13","ids":{"openalex":"https://openalex.org/W2973079150","doi":"https://doi.org/10.1109/tac.2019.2941425","mag":"2973079150"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2019.2941425","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2019.2941425","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","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/A5073945061","display_name":"Thomas G\u00f6hrt","orcid":"https://orcid.org/0000-0002-9663-9903"},"institutions":[{"id":"https://openalex.org/I2610724","display_name":"Chemnitz University of Technology","ror":"https://ror.org/00a208s56","country_code":"DE","type":"education","lineage":["https://openalex.org/I2610724"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Thomas Gohrt","raw_affiliation_strings":["Automatic Control and System Dynamics Lab, Technische Universit\u00e4t Chemnitz, Chemnitz, Germany"],"raw_orcid":"https://orcid.org/0000-0002-9663-9903","affiliations":[{"raw_affiliation_string":"Automatic Control and System Dynamics Lab, Technische Universit\u00e4t Chemnitz, Chemnitz, Germany","institution_ids":["https://openalex.org/I2610724"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065280230","display_name":"Pavel Osinenko","orcid":"https://orcid.org/0000-0002-6184-3293"},"institutions":[{"id":"https://openalex.org/I2610724","display_name":"Chemnitz University of Technology","ror":"https://ror.org/00a208s56","country_code":"DE","type":"education","lineage":["https://openalex.org/I2610724"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Pavel Osinenko","raw_affiliation_strings":["Automatic Control and System Dynamics Lab, Technische Universit\u00e4t Chemnitz, Chemnitz, Germany"],"raw_orcid":"https://orcid.org/0000-0002-6184-3293","affiliations":[{"raw_affiliation_string":"Automatic Control and System Dynamics Lab, Technische Universit\u00e4t Chemnitz, Chemnitz, Germany","institution_ids":["https://openalex.org/I2610724"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5050202669","display_name":"Stefan Streif","orcid":"https://orcid.org/0000-0002-3398-1226"},"institutions":[{"id":"https://openalex.org/I2610724","display_name":"Chemnitz University of Technology","ror":"https://ror.org/00a208s56","country_code":"DE","type":"education","lineage":["https://openalex.org/I2610724"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Stefan Streif","raw_affiliation_strings":["Automatic Control and System Dynamics Lab, Technische Universit\u00e4t Chemnitz, Chemnitz, Germany"],"raw_orcid":"https://orcid.org/0000-0002-3398-1226","affiliations":[{"raw_affiliation_string":"Automatic Control and System Dynamics Lab, Technische Universit\u00e4t Chemnitz, Chemnitz, Germany","institution_ids":["https://openalex.org/I2610724"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I2610724"],"apc_list":null,"apc_paid":null,"fwci":0.5336,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.69340191,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"65","issue":"5","first_page":"2257","last_page":"2264"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12794","display_name":"Adaptive Dynamic Programming Control","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T12794","display_name":"Adaptive Dynamic Programming Control","score":0.9998999834060669,"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/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9937000274658203,"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":0.9933000206947327,"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/converse","display_name":"Converse","score":0.9282615184783936},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.8236175775527954},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.6581152081489563},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.640540361404419},{"id":"https://openalex.org/keywords/bellman-equation","display_name":"Bellman equation","score":0.6217505931854248},{"id":"https://openalex.org/keywords/time-horizon","display_name":"Time horizon","score":0.5481529235839844},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5354775190353394},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5168828964233398},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.48715540766716003},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4857623875141144},{"id":"https://openalex.org/keywords/discrete-system","display_name":"Discrete system","score":0.44940704107284546},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3411633372306824},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2545466423034668},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.11920499801635742}],"concepts":[{"id":"https://openalex.org/C2776809875","wikidata":"https://www.wikidata.org/wiki/Q1375963","display_name":"Converse","level":2,"score":0.9282615184783936},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.8236175775527954},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.6581152081489563},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.640540361404419},{"id":"https://openalex.org/C14646407","wikidata":"https://www.wikidata.org/wiki/Q1430750","display_name":"Bellman equation","level":2,"score":0.6217505931854248},{"id":"https://openalex.org/C28761237","wikidata":"https://www.wikidata.org/wiki/Q7805321","display_name":"Time horizon","level":2,"score":0.5481529235839844},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5354775190353394},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5168828964233398},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.48715540766716003},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4857623875141144},{"id":"https://openalex.org/C96314035","wikidata":"https://www.wikidata.org/wiki/Q5282062","display_name":"Discrete system","level":2,"score":0.44940704107284546},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3411633372306824},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2545466423034668},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.11920499801635742},{"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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tac.2019.2941425","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2019.2941425","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","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":18,"referenced_works":["https://openalex.org/W5108103","https://openalex.org/W1631623342","https://openalex.org/W1650553268","https://openalex.org/W1980801308","https://openalex.org/W1983523797","https://openalex.org/W1987657756","https://openalex.org/W2019338681","https://openalex.org/W2048687352","https://openalex.org/W2081514674","https://openalex.org/W2086975818","https://openalex.org/W2098432798","https://openalex.org/W2152161277","https://openalex.org/W2165726932","https://openalex.org/W2189990206","https://openalex.org/W2742470390","https://openalex.org/W2901005637","https://openalex.org/W3141151088","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2132623195","https://openalex.org/W2602009922","https://openalex.org/W2797141387","https://openalex.org/W2612725718","https://openalex.org/W4253327475","https://openalex.org/W106043964","https://openalex.org/W395171803","https://openalex.org/W1482793177","https://openalex.org/W2011679120","https://openalex.org/W2018611471"],"abstract_inverted_index":{"Given":[0],"an":[1],"optimal":[2,9,24],"value":[3,25],"function":[4],"for":[5],"a":[6,16],"discrete-time":[7,49,62],"infinite-horizon":[8],"control":[10],"problem,":[11],"how":[12],"does":[13],"one":[14],"derive":[15],"nonlinear":[17],"system":[18],"dynamics":[19],"model,":[20],"which":[21],"satisfies":[22],"this":[23,52,57],"function?":[26],"This":[27],"problem":[28],"is":[29,53,69],"called":[30],"converse":[31],"optimality":[32,67],"and":[33,51,71],"was":[34],"successfully":[35],"addressed":[36],"in":[37,47],"the":[38,48,54,65],"continuous-time":[39],"case.":[40],"There":[41],"is,":[42],"however,":[43],"no":[44],"similar":[45],"derivation":[46],"case,":[50],"purpose":[55],"of":[56,61],"paper.":[58],"A":[59],"class":[60],"systems":[63],"satisfying":[64],"given":[66],"condition":[68],"constructed,":[70],"its":[72],"properties":[73],"are":[74],"analyzed.":[75]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":2}],"updated_date":"2026-08-11T07:18:39.950985","created_date":"2025-10-10T00:00:00"}
