{"id":"https://openalex.org/W4226322772","doi":"https://doi.org/10.23919/ascc56756.2022.9828315","title":"Sum-of-Squares Program and Safe Learning On Maximizing the Region of Attraction of Partially Unknown Systems","display_name":"Sum-of-Squares Program and Safe Learning On Maximizing the Region of Attraction of Partially Unknown Systems","publication_year":2022,"publication_date":"2022-05-04","ids":{"openalex":"https://openalex.org/W4226322772","doi":"https://doi.org/10.23919/ascc56756.2022.9828315"},"language":"en","primary_location":{"id":"doi:10.23919/ascc56756.2022.9828315","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ascc56756.2022.9828315","pdf_url":null,"source":{"id":"https://openalex.org/S4363607827","display_name":"2022 13th Asian Control Conference (ASCC)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 13th Asian Control Conference (ASCC)","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":"https://openalex.org/A5101852463","display_name":"Dongkun Han","orcid":"https://orcid.org/0000-0003-0336-9818"},"institutions":[{"id":"https://openalex.org/I177725633","display_name":"Chinese University of Hong Kong","ror":"https://ror.org/00t33hh48","country_code":"CN","type":"education","lineage":["https://openalex.org/I177725633"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Dongkun Han","raw_affiliation_strings":["The Chinese University of Hong Kong,Department of Mechanical and Automation Engineering,China","Department of Mechanical and Automation Engineering, The Chinese University of Hong Kong, China"],"affiliations":[{"raw_affiliation_string":"The Chinese University of Hong Kong,Department of Mechanical and Automation Engineering,China","institution_ids":["https://openalex.org/I177725633"]},{"raw_affiliation_string":"Department of Mechanical and Automation Engineering, The Chinese University of Hong Kong, China","institution_ids":["https://openalex.org/I177725633"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5047028705","display_name":"Hejun Huang","orcid":"https://orcid.org/0000-0001-7280-9341"},"institutions":[{"id":"https://openalex.org/I177725633","display_name":"Chinese University of Hong Kong","ror":"https://ror.org/00t33hh48","country_code":"CN","type":"education","lineage":["https://openalex.org/I177725633"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hejun Huang","raw_affiliation_strings":["The Chinese University of Hong Kong,Department of Mechanical and Automation Engineering,China","Department of Mechanical and Automation Engineering, The Chinese University of Hong Kong, China"],"affiliations":[{"raw_affiliation_string":"The Chinese University of Hong Kong,Department of Mechanical and Automation Engineering,China","institution_ids":["https://openalex.org/I177725633"]},{"raw_affiliation_string":"Department of Mechanical and Automation Engineering, The Chinese University of Hong Kong, China","institution_ids":["https://openalex.org/I177725633"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5101852463"],"corresponding_institution_ids":["https://openalex.org/I177725633"],"apc_list":null,"apc_paid":null,"fwci":0.7075,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.57087968,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"875","last_page":"881"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10876","display_name":"Fault Detection and Control Systems","score":0.9994999766349792,"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/T10876","display_name":"Fault Detection and Control Systems","score":0.9994999766349792,"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/T11236","display_name":"Control Systems and Identification","score":0.9993000030517578,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9976999759674072,"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/extrapolation","display_name":"Extrapolation","score":0.6183304190635681},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.6139485836029053},{"id":"https://openalex.org/keywords/chebyshev-filter","display_name":"Chebyshev filter","score":0.5541424751281738},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5530102849006653},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5512337684631348},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5398823618888855},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5256814956665039},{"id":"https://openalex.org/keywords/attraction","display_name":"Attraction","score":0.505713939666748},{"id":"https://openalex.org/keywords/least-squares-function-approximation","display_name":"Least-squares function approximation","score":0.4631684720516205},{"id":"https://openalex.org/keywords/state-space","display_name":"State space","score":0.4553126096725464},{"id":"https://openalex.org/keywords/explained-sum-of-squares","display_name":"Explained sum of squares","score":0.4490349292755127},{"id":"https://openalex.org/keywords/reinforcement-learning","display_name":"Reinforcement learning","score":0.4180601239204407},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.41387200355529785},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3871493935585022},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.332389771938324},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.26803112030029297},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2138170599937439},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.14194437861442566}],"concepts":[{"id":"https://openalex.org/C132459708","wikidata":"https://www.wikidata.org/wiki/Q744069","display_name":"Extrapolation","level":2,"score":0.6183304190635681},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.6139485836029053},{"id":"https://openalex.org/C21424316","wikidata":"https://www.wikidata.org/wiki/Q718621","display_name":"Chebyshev filter","level":2,"score":0.5541424751281738},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5530102849006653},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5512337684631348},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5398823618888855},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5256814956665039},{"id":"https://openalex.org/C2778364177","wikidata":"https://www.wikidata.org/wiki/Q2247133","display_name":"Attraction","level":2,"score":0.505713939666748},{"id":"https://openalex.org/C9936470","wikidata":"https://www.wikidata.org/wiki/Q6510405","display_name":"Least-squares function approximation","level":3,"score":0.4631684720516205},{"id":"https://openalex.org/C72434380","wikidata":"https://www.wikidata.org/wiki/Q230930","display_name":"State space","level":2,"score":0.4553126096725464},{"id":"https://openalex.org/C49847556","wikidata":"https://www.wikidata.org/wiki/Q3964631","display_name":"Explained sum of squares","level":2,"score":0.4490349292755127},{"id":"https://openalex.org/C97541855","wikidata":"https://www.wikidata.org/wiki/Q830687","display_name":"Reinforcement learning","level":2,"score":0.4180601239204407},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.41387200355529785},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3871493935585022},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.332389771938324},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.26803112030029297},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2138170599937439},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.14194437861442566},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"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/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.23919/ascc56756.2022.9828315","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ascc56756.2022.9828315","pdf_url":null,"source":{"id":"https://openalex.org/S4363607827","display_name":"2022 13th Asian Control Conference (ASCC)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 13th Asian Control Conference (ASCC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W1976005200","https://openalex.org/W2008515416","https://openalex.org/W2012180018","https://openalex.org/W2108001913","https://openalex.org/W2148247550","https://openalex.org/W2298163601","https://openalex.org/W2312849699","https://openalex.org/W2491336180","https://openalex.org/W2570635453","https://openalex.org/W2735248836","https://openalex.org/W2884604194","https://openalex.org/W2913433017","https://openalex.org/W2914316834","https://openalex.org/W2963148914","https://openalex.org/W2963995490","https://openalex.org/W2966735560","https://openalex.org/W2968945909","https://openalex.org/W2973186928","https://openalex.org/W2990320948","https://openalex.org/W2992833799","https://openalex.org/W3048750752","https://openalex.org/W3080914972","https://openalex.org/W3098713169","https://openalex.org/W3119552849","https://openalex.org/W4234844164","https://openalex.org/W4255442211","https://openalex.org/W4286901876","https://openalex.org/W4294555834","https://openalex.org/W6738483526","https://openalex.org/W6781798101","https://openalex.org/W6801904902"],"related_works":["https://openalex.org/W3010831251","https://openalex.org/W2058869626","https://openalex.org/W2106850246","https://openalex.org/W4388252235","https://openalex.org/W2378144170","https://openalex.org/W1991217434","https://openalex.org/W2753003631","https://openalex.org/W2146767785","https://openalex.org/W2332903261","https://openalex.org/W1780286370"],"abstract_inverted_index":{"Recent":[0],"advances":[1],"in":[2,17],"learning":[3],"techniques":[4],"have":[5],"enabled":[6],"the":[7,40,82,102,106],"modelling":[8],"of":[9,25,85,87,117],"unknown":[10,42,89],"dynamical":[11],"systems":[12,44],"directly":[13],"from":[14],"data.":[15],"However,":[16],"many":[18],"contexts,":[19],"these":[20],"learning-based":[21],"methods":[22],"are":[23],"short":[24],"safety":[26,95],"guarantee":[27],"and":[28,54,96],"strict":[29],"stability":[30],"verification.":[31],"To":[32],"address":[33],"this":[34,36,78],"issue,":[35],"paper":[37],"first":[38],"approximates":[39],"partially":[41,88],"nonlinear":[43,90],"by":[45,69],"using":[46],"a":[47,67,112],"learned":[48],"state":[49],"space":[50],"with":[51],"Gaussian":[52],"Processes":[53],"Chebyshev":[55],"interpolants.":[56],"A":[57],"Sum-of-Squares":[58],"Programming":[59],"based":[60],"approach":[61],"is":[62,99],"then":[63],"proposed":[64,103],"to":[65],"synthesize":[66],"controller":[68],"searching":[70],"an":[71],"optimal":[72],"control":[73],"Lyapunov":[74],"barrier":[75],"function.":[76],"In":[77],"way,":[79],"we":[80],"maximize":[81],"estimated":[83,115],"region":[84,116],"attraction":[86],"systems,":[91],"while":[92],"guaranteeing":[93],"both":[94],"stability.":[97],"It":[98],"shown":[100],"that":[101],"method":[104],"escalates":[105],"extrapolation":[107],"performance,":[108],"meanwhile":[109],"it":[110],"generates":[111],"significantly":[113],"larger":[114],"attraction.":[118]},"counts_by_year":[{"year":2022,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
