{"id":"https://openalex.org/W3031391912","doi":"https://doi.org/10.1109/tcyb.2020.2989419","title":"Adaptive Dynamic Programming for Model-Free Global Stabilization of Control Constrained Continuous-Time Systems","display_name":"Adaptive Dynamic Programming for Model-Free Global Stabilization of Control Constrained Continuous-Time Systems","publication_year":2020,"publication_date":"2020-05-28","ids":{"openalex":"https://openalex.org/W3031391912","doi":"https://doi.org/10.1109/tcyb.2020.2989419","mag":"3031391912","pmid":"https://pubmed.ncbi.nlm.nih.gov/32471805"},"language":"en","primary_location":{"id":"doi:10.1109/tcyb.2020.2989419","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2020.2989419","pdf_url":null,"source":{"id":"https://openalex.org/S4210191041","display_name":"IEEE Transactions on Cybernetics","issn_l":"2168-2267","issn":["2168-2267","2168-2275"],"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 Cybernetics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"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/A5023772121","display_name":"Syed Ali Asad Rizvi","orcid":"https://orcid.org/0000-0003-1412-8841"},"institutions":[{"id":"https://openalex.org/I51556381","display_name":"University of Virginia","ror":"https://ror.org/0153tk833","country_code":"US","type":"education","lineage":["https://openalex.org/I51556381"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Syed Ali Asad Rizvi","raw_affiliation_strings":["Charles L. Brown Department of Electrical and Computer Engineering, University of Virginia, Charlottesville, VA, USA"],"raw_orcid":"https://orcid.org/0000-0003-1412-8841","affiliations":[{"raw_affiliation_string":"Charles L. Brown Department of Electrical and Computer Engineering, University of Virginia, Charlottesville, VA, USA","institution_ids":["https://openalex.org/I51556381"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072774939","display_name":"Zongli Lin","orcid":"https://orcid.org/0000-0003-1589-1443"},"institutions":[{"id":"https://openalex.org/I51556381","display_name":"University of Virginia","ror":"https://ror.org/0153tk833","country_code":"US","type":"education","lineage":["https://openalex.org/I51556381"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Zongli Lin","raw_affiliation_strings":["Charles L. Brown Department of Electrical and Computer Engineering, University of Virginia, Charlottesville, VA, USA"],"raw_orcid":"https://orcid.org/0000-0003-1589-1443","affiliations":[{"raw_affiliation_string":"Charles L. Brown Department of Electrical and Computer Engineering, University of Virginia, Charlottesville, VA, USA","institution_ids":["https://openalex.org/I51556381"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I51556381"],"apc_list":null,"apc_paid":null,"fwci":2.072,"has_fulltext":false,"cited_by_count":39,"citation_normalized_percentile":{"value":0.89746377,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":100},"biblio":{"volume":"52","issue":"2","first_page":"1048","last_page":"1060"},"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/T10675","display_name":"Mechanical Circulatory Support Devices","score":0.9900000095367432,"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/T12277","display_name":"Frequency Control in Power Systems","score":0.9496999979019165,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/parameterized-complexity","display_name":"Parameterized complexity","score":0.8852579593658447},{"id":"https://openalex.org/keywords/dynamic-programming","display_name":"Dynamic programming","score":0.7265832424163818},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6906964182853699},{"id":"https://openalex.org/keywords/algebraic-riccati-equation","display_name":"Algebraic Riccati equation","score":0.5438258647918701},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5410217046737671},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5199845433235168},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5027198791503906},{"id":"https://openalex.org/keywords/linear-quadratic-regulator","display_name":"Linear-quadratic regulator","score":0.49562370777130127},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4817083477973938},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.4500827193260193},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.45007824897766113},{"id":"https://openalex.org/keywords/adaptive-control","display_name":"Adaptive control","score":0.41775691509246826},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.33689606189727783},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.3008913993835449},{"id":"https://openalex.org/keywords/riccati-equation","display_name":"Riccati equation","score":0.2986319661140442},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.15022632479667664},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.1019289493560791}],"concepts":[{"id":"https://openalex.org/C165464430","wikidata":"https://www.wikidata.org/wiki/Q1570441","display_name":"Parameterized complexity","level":2,"score":0.8852579593658447},{"id":"https://openalex.org/C37404715","wikidata":"https://www.wikidata.org/wiki/Q380679","display_name":"Dynamic programming","level":2,"score":0.7265832424163818},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6906964182853699},{"id":"https://openalex.org/C13847129","wikidata":"https://www.wikidata.org/wiki/Q4723989","display_name":"Algebraic Riccati equation","level":4,"score":0.5438258647918701},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5410217046737671},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5199845433235168},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5027198791503906},{"id":"https://openalex.org/C98779006","wikidata":"https://www.wikidata.org/wiki/Q2520550","display_name":"Linear-quadratic regulator","level":3,"score":0.49562370777130127},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4817083477973938},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.4500827193260193},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.45007824897766113},{"id":"https://openalex.org/C107464732","wikidata":"https://www.wikidata.org/wiki/Q235781","display_name":"Adaptive control","level":3,"score":0.41775691509246826},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.33689606189727783},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.3008913993835449},{"id":"https://openalex.org/C45473103","wikidata":"https://www.wikidata.org/wiki/Q851503","display_name":"Riccati equation","level":3,"score":0.2986319661140442},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.15022632479667664},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.1019289493560791},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tcyb.2020.2989419","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2020.2989419","pdf_url":null,"source":{"id":"https://openalex.org/S4210191041","display_name":"IEEE Transactions on Cybernetics","issn_l":"2168-2267","issn":["2168-2267","2168-2275"],"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 Cybernetics","raw_type":"journal-article"},{"id":"pmid:32471805","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/32471805","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on cybernetics","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W1979098741","https://openalex.org/W1980801308","https://openalex.org/W1999724422","https://openalex.org/W1999781429","https://openalex.org/W2033030672","https://openalex.org/W2035003264","https://openalex.org/W2042870712","https://openalex.org/W2050838777","https://openalex.org/W2093161061","https://openalex.org/W2098432798","https://openalex.org/W2108286682","https://openalex.org/W2125996212","https://openalex.org/W2148439597","https://openalex.org/W2152161277","https://openalex.org/W2177359919","https://openalex.org/W2189990206","https://openalex.org/W2333120204","https://openalex.org/W2339745223","https://openalex.org/W2345038028","https://openalex.org/W2467518411","https://openalex.org/W2508598219","https://openalex.org/W2509783950","https://openalex.org/W2570494446","https://openalex.org/W2727279496","https://openalex.org/W2802027610","https://openalex.org/W2802164917","https://openalex.org/W2885449752","https://openalex.org/W2907944110","https://openalex.org/W2913327043"],"related_works":["https://openalex.org/W2727200542","https://openalex.org/W2018296362","https://openalex.org/W2002357820","https://openalex.org/W2005019312","https://openalex.org/W2804494800","https://openalex.org/W2547959172","https://openalex.org/W2334216590","https://openalex.org/W1561579480","https://openalex.org/W1480556931","https://openalex.org/W3004271191"],"abstract_inverted_index":{"This":[0],"article":[1],"addresses":[2],"the":[3,48,63,66,71,74,92,98,116,119,122,126,135,138],"problem":[4],"of":[5,8,38,65,73,91,118,125,137],"global":[6,34],"stabilization":[7],"continuous-time":[9],"linear":[10],"systems":[11],"subject":[12],"to":[13,46,61,121],"control":[14,51],"constraints":[15],"using":[16],"a":[17,22],"model-free":[18],"approach.":[19],"We":[20,103],"propose":[21],"gain-scheduled":[23],"low-gain":[24,49,93],"feedback":[25,50,107,110],"scheme":[26],"that":[27,85],"prevents":[28],"saturation":[29],"from":[30],"occurring":[31],"and":[32,95,108,115],"achieves":[33],"stabilization.":[35],"The":[36,112,131],"framework":[37],"parameterized":[39,67,99,127],"algebraic":[40],"Riccati":[41],"equations":[42],"(AREs)":[43],"is":[44,59],"employed":[45],"design":[47],"laws.":[52],"An":[53],"adaptive":[54],"dynamic":[55],"programming":[56],"(ADP)":[57],"method":[58],"presented":[60],"find":[62],"solution":[64,124],"ARE":[68,128],"without":[69],"requiring":[70],"knowledge":[72],"system":[75],"dynamics.":[76],"In":[77],"particular,":[78],"we":[79],"present":[80,104],"an":[81,88],"iterative":[82],"ADP":[83,100],"algorithm":[84,120],"searches":[86],"for":[87],"appropriate":[89],"value":[90],"parameter":[94],"iteratively":[96],"solves":[97],"Bellman":[101],"equation.":[102],"both":[105],"state":[106],"output":[109],"algorithms.":[111],"closed-loop":[113],"stability":[114],"convergence":[117],"nominal":[123],"are":[129],"shown.":[130],"simulation":[132],"results":[133],"validate":[134],"effectiveness":[136],"proposed":[139],"scheme.":[140]},"counts_by_year":[{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":19},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}