{"id":"https://openalex.org/W4405440160","doi":"https://doi.org/10.1109/lcsys.2024.3519017","title":"From a Single Trajectory to Safety Controller Synthesis of Discrete-Time Nonlinear Polynomial Systems","display_name":"From a Single Trajectory to Safety Controller Synthesis of Discrete-Time Nonlinear Polynomial Systems","publication_year":2024,"publication_date":"2024-01-01","ids":{"openalex":"https://openalex.org/W4405440160","doi":"https://doi.org/10.1109/lcsys.2024.3519017"},"language":"en","primary_location":{"id":"doi:10.1109/lcsys.2024.3519017","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcsys.2024.3519017","pdf_url":null,"source":{"id":"https://openalex.org/S4306422535","display_name":"IEEE Control Systems Letters","issn_l":"2475-1456","issn":["2475-1456"],"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 Control Systems Letters","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/A5106677524","display_name":"Behrad Samari","orcid":null},"institutions":[{"id":"https://openalex.org/I84884186","display_name":"Newcastle University","ror":"https://ror.org/01kj2bm70","country_code":"GB","type":"education","lineage":["https://openalex.org/I84884186"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Behrad Samari","raw_affiliation_strings":["School of Computing, Newcastle University, Newcastle Upon Tyne, U.K","School of Computing, Newcastle University, United Kingdom"],"raw_orcid":"https://orcid.org/0009-0009-2026-2941","affiliations":[{"raw_affiliation_string":"School of Computing, Newcastle University, Newcastle Upon Tyne, U.K","institution_ids":["https://openalex.org/I84884186"]},{"raw_affiliation_string":"School of Computing, Newcastle University, United Kingdom","institution_ids":["https://openalex.org/I84884186"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5076465193","display_name":"Omid Akbarzadeh","orcid":"https://orcid.org/0000-0003-2161-7096"},"institutions":[{"id":"https://openalex.org/I84884186","display_name":"Newcastle University","ror":"https://ror.org/01kj2bm70","country_code":"GB","type":"education","lineage":["https://openalex.org/I84884186"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Omid Akbarzadeh","raw_affiliation_strings":["School of Computing, Newcastle University, Newcastle Upon Tyne, U.K","School of Computing, Newcastle University, United Kingdom"],"raw_orcid":"https://orcid.org/0000-0003-2161-7096","affiliations":[{"raw_affiliation_string":"School of Computing, Newcastle University, Newcastle Upon Tyne, U.K","institution_ids":["https://openalex.org/I84884186"]},{"raw_affiliation_string":"School of Computing, Newcastle University, United Kingdom","institution_ids":["https://openalex.org/I84884186"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5096199490","display_name":"Mahdieh Zaker","orcid":"https://orcid.org/0009-0009-0251-3380"},"institutions":[{"id":"https://openalex.org/I84884186","display_name":"Newcastle University","ror":"https://ror.org/01kj2bm70","country_code":"GB","type":"education","lineage":["https://openalex.org/I84884186"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Mahdieh Zaker","raw_affiliation_strings":["School of Computing, Newcastle University, Newcastle Upon Tyne, U.K","School of Computing, Newcastle University, United Kingdom"],"raw_orcid":"https://orcid.org/0009-0009-0251-3380","affiliations":[{"raw_affiliation_string":"School of Computing, Newcastle University, Newcastle Upon Tyne, U.K","institution_ids":["https://openalex.org/I84884186"]},{"raw_affiliation_string":"School of Computing, Newcastle University, United Kingdom","institution_ids":["https://openalex.org/I84884186"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5011080021","display_name":"Abolfazl Lavaei","orcid":"https://orcid.org/0000-0003-4993-3170"},"institutions":[{"id":"https://openalex.org/I84884186","display_name":"Newcastle University","ror":"https://ror.org/01kj2bm70","country_code":"GB","type":"education","lineage":["https://openalex.org/I84884186"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Abolfazl Lavaei","raw_affiliation_strings":["School of Computing, Newcastle University, Newcastle Upon Tyne, U.K","School of Computing, Newcastle University, United Kingdom"],"raw_orcid":"https://orcid.org/0000-0003-4993-3170","affiliations":[{"raw_affiliation_string":"School of Computing, Newcastle University, Newcastle Upon Tyne, U.K","institution_ids":["https://openalex.org/I84884186"]},{"raw_affiliation_string":"School of Computing, Newcastle University, United Kingdom","institution_ids":["https://openalex.org/I84884186"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I84884186"],"apc_list":null,"apc_paid":null,"fwci":1.4903,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.84535883,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"8","issue":null,"first_page":"3123","last_page":"3128"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9767000079154968,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9767000079154968,"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/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9426000118255615,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T14083","display_name":"Extremum Seeking Control Systems","score":0.9337999820709229,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/trajectory","display_name":"Trajectory","score":0.7207492589950562},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6556448340415955},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6331311464309692},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5675073862075806},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.4803113341331482},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.433902770280838},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4152630567550659},{"id":"https://openalex.org/keywords/control-engineering","display_name":"Control engineering","score":0.3708484172821045},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.25607478618621826},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.1984584629535675},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.11668333411216736},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08858886361122131},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0872545838356018}],"concepts":[{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.7207492589950562},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6556448340415955},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6331311464309692},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5675073862075806},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.4803113341331482},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.433902770280838},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4152630567550659},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.3708484172821045},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.25607478618621826},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.1984584629535675},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11668333411216736},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08858886361122131},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0872545838356018},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","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/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/lcsys.2024.3519017","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcsys.2024.3519017","pdf_url":null,"source":{"id":"https://openalex.org/S4306422535","display_name":"IEEE Control Systems Letters","issn_l":"2475-1456","issn":["2475-1456"],"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 Control Systems Letters","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7","score":0.7300000190734863}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W1607353007","https://openalex.org/W1967073510","https://openalex.org/W1988878180","https://openalex.org/W2033118636","https://openalex.org/W2040871222","https://openalex.org/W2111990577","https://openalex.org/W2167412190","https://openalex.org/W2234962923","https://openalex.org/W2546229283","https://openalex.org/W2944522148","https://openalex.org/W2945338219","https://openalex.org/W2968945909","https://openalex.org/W2972609400","https://openalex.org/W2979207987","https://openalex.org/W2991198292","https://openalex.org/W2995764727","https://openalex.org/W3045038673","https://openalex.org/W3084915321","https://openalex.org/W3119438804","https://openalex.org/W3137642493","https://openalex.org/W3139041328","https://openalex.org/W3163376802","https://openalex.org/W3202264307","https://openalex.org/W4250913065","https://openalex.org/W4323914099","https://openalex.org/W4388011652","https://openalex.org/W4388339703","https://openalex.org/W4388479641","https://openalex.org/W4405440160"],"related_works":["https://openalex.org/W4323768008","https://openalex.org/W1941703695","https://openalex.org/W3131574667","https://openalex.org/W4360995134","https://openalex.org/W4248382324","https://openalex.org/W3023605104","https://openalex.org/W2018658498","https://openalex.org/W2147052742","https://openalex.org/W2998030147","https://openalex.org/W2000675896"],"abstract_inverted_index":{"This":[0,103],"letter":[1],"is":[2,74,104],"concerned":[3],"with":[4,24,27],"developing":[5],"a":[6,54,59,65,83,108,133,137],"data-driven":[7,125],"approach":[8,42,126],"for":[9,19],"learning":[10],"control":[11],"barrier":[12],"certificates":[13],"(CBCs)":[14],"and":[15,85,118,136],"associated":[16],"safety":[17,34,88,120],"controllers":[18],"discrete-time":[20],"input-affine":[21],"nonlinear":[22],"systems":[23],"polynomial":[25],"dynamics":[26],"(partially)":[28],"unknown":[29,72,100],"mathematical":[30],"models,":[31],"guaranteeing":[32],"system":[33,73],"over":[35,58,127],"an":[36,48],"infinite":[37],"time":[38,61],"horizon.":[39,62],"The":[40],"proposed":[41,145],"leverages":[43],"measured":[44],"data":[45],"acquired":[46],"through":[47,106],"input-state":[49],"observation,":[50],"referred":[51],"to":[52,114],"as":[53],"single":[55],"trajectory,":[56],"collected":[57,79],"specified":[60],"By":[63],"fulfilling":[64],"certain":[66],"rank":[67],"condition,":[68],"which":[69],"ensures":[70],"the":[71,78,92,99,141],"persistently":[75],"excited":[76],"by":[77],"data,":[80,95],"we":[81],"design":[82,116],"CBC":[84],"its":[86],"corresponding":[87],"controller":[89],"directly":[90],"from":[91],"finite-length":[93],"observed":[94],"without":[96],"explicitly":[97],"identifying":[98],"dynamical":[101],"system.":[102],"achieved":[105],"proposing":[107],"data-based":[109],"sum-of-squares":[110],"optimization":[111],"(SOS)":[112],"program":[113],"systematically":[115],"CBCs":[117],"their":[119],"controllers.":[121],"We":[122],"validate":[123],"our":[124,144],"two":[128],"physical":[129],"case":[130],"studies":[131],"including":[132],"jet":[134],"engine":[135],"Lorenz":[138],"system,":[139],"demonstrating":[140],"efficacy":[142],"of":[143],"method.":[146]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1}],"updated_date":"2026-08-11T07:18:39.950985","created_date":"2025-10-10T00:00:00"}