{"id":"https://openalex.org/W2978737798","doi":"https://doi.org/10.1109/cdc42340.2020.9304326","title":"Guaranteed Reachability for Systems with Unknown Dynamics","display_name":"Guaranteed Reachability for Systems with Unknown Dynamics","publication_year":2020,"publication_date":"2020-12-14","ids":{"openalex":"https://openalex.org/W2978737798","doi":"https://doi.org/10.1109/cdc42340.2020.9304326","mag":"2978737798","pmid":"https://pubmed.ncbi.nlm.nih.gov/33612963"},"language":"en","primary_location":{"id":"doi:10.1109/cdc42340.2020.9304326","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc42340.2020.9304326","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2020 59th IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite","pubmed"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1910.00803","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5070897457","display_name":"Melkior Ornik","orcid":"https://orcid.org/0000-0002-8510-8787"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Melkior Ornik","raw_affiliation_strings":["Department of Aerospace Engineering and the Coordinated Science Laboratory, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA","***University of Illinois at Urbana-Champaign"],"affiliations":[{"raw_affiliation_string":"Department of Aerospace Engineering and the Coordinated Science Laboratory, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"***University of Illinois at Urbana-Champaign","institution_ids":["https://openalex.org/I157725225"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5070897457"],"corresponding_institution_ids":["https://openalex.org/I157725225"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0074138,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"19","issue":null,"first_page":"2756","last_page":"2761"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","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"}},"topics":[{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","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/T10876","display_name":"Fault Detection and Control Systems","score":0.991100013256073,"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/T11689","display_name":"Adversarial Robustness in Machine Learning","score":0.9830999970436096,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/reachability","display_name":"Reachability","score":0.9530066251754761},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.6670393943786621},{"id":"https://openalex.org/keywords/system-dynamics","display_name":"System dynamics","score":0.6229956746101379},{"id":"https://openalex.org/keywords/state-space","display_name":"State space","score":0.6016550064086914},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5758028030395508},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.48311781883239746},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.45489591360092163},{"id":"https://openalex.org/keywords/reachability-problem","display_name":"Reachability problem","score":0.45313188433647156},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.4503619968891144},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4498233199119568},{"id":"https://openalex.org/keywords/dynamical-system","display_name":"Dynamical system (definition)","score":0.4303322732448578},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.41345033049583435},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.37499117851257324},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3609907031059265},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3570196032524109},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.2735905349254608},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.16808074712753296},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10680457949638367}],"concepts":[{"id":"https://openalex.org/C136643341","wikidata":"https://www.wikidata.org/wiki/Q1361526","display_name":"Reachability","level":2,"score":0.9530066251754761},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.6670393943786621},{"id":"https://openalex.org/C77405623","wikidata":"https://www.wikidata.org/wiki/Q598451","display_name":"System dynamics","level":2,"score":0.6229956746101379},{"id":"https://openalex.org/C72434380","wikidata":"https://www.wikidata.org/wiki/Q230930","display_name":"State space","level":2,"score":0.6016550064086914},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5758028030395508},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.48311781883239746},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.45489591360092163},{"id":"https://openalex.org/C2777669093","wikidata":"https://www.wikidata.org/wiki/Q17141570","display_name":"Reachability problem","level":3,"score":0.45313188433647156},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.4503619968891144},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4498233199119568},{"id":"https://openalex.org/C33962884","wikidata":"https://www.wikidata.org/wiki/Q378637","display_name":"Dynamical system (definition)","level":3,"score":0.4303322732448578},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.41345033049583435},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.37499117851257324},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3609907031059265},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3570196032524109},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.2735905349254608},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.16808074712753296},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10680457949638367},{"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/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1109/cdc42340.2020.9304326","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc42340.2020.9304326","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2020 59th IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},{"id":"pmid:33612963","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/33612963","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":"Proceedings of the ... IEEE Conference on Decision & Control. IEEE Conference on Decision & Control","raw_type":null},{"id":"pmh:oai:arXiv.org:1910.00803","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1910.00803","pdf_url":"https://arxiv.org/pdf/1910.00803","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"mag:2978737798","is_oa":true,"landing_page_url":"http://export.arxiv.org/pdf/1910.00803","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:pubmedcentral.nih.gov:7894411","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/7894411","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Proc IEEE Conf Decis Control","raw_type":"Text"},{"id":"doi:10.48550/arxiv.1910.00803","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1910.00803","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1910.00803","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1910.00803","pdf_url":"https://arxiv.org/pdf/1910.00803","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W315739085","https://openalex.org/W596522316","https://openalex.org/W637574335","https://openalex.org/W1501687287","https://openalex.org/W1503019334","https://openalex.org/W1551360398","https://openalex.org/W1557986553","https://openalex.org/W1726255445","https://openalex.org/W1887006513","https://openalex.org/W1975766650","https://openalex.org/W1976199940","https://openalex.org/W1983540877","https://openalex.org/W1991470911","https://openalex.org/W2055576996","https://openalex.org/W2071865586","https://openalex.org/W2077242588","https://openalex.org/W2089883247","https://openalex.org/W2093908927","https://openalex.org/W2095981630","https://openalex.org/W2116364955","https://openalex.org/W2143588377","https://openalex.org/W2155973751","https://openalex.org/W2158451642","https://openalex.org/W2166635235","https://openalex.org/W2233545183","https://openalex.org/W2239232218","https://openalex.org/W2492236033","https://openalex.org/W2492791808","https://openalex.org/W2528271650","https://openalex.org/W2606891832","https://openalex.org/W2613776209","https://openalex.org/W2755686688","https://openalex.org/W2799935950","https://openalex.org/W2914841292","https://openalex.org/W2973058853","https://openalex.org/W3122050731","https://openalex.org/W3207782042","https://openalex.org/W4235381922","https://openalex.org/W4239369248","https://openalex.org/W6689421221","https://openalex.org/W6744188551","https://openalex.org/W6750398332","https://openalex.org/W6768772157","https://openalex.org/W7037555207"],"related_works":["https://openalex.org/W3118891938","https://openalex.org/W1980706775","https://openalex.org/W134232946","https://openalex.org/W2784152480","https://openalex.org/W2319976174","https://openalex.org/W320369325","https://openalex.org/W95699790","https://openalex.org/W3015494570","https://openalex.org/W1590535836","https://openalex.org/W126455403","https://openalex.org/W1975236902","https://openalex.org/W1168160687","https://openalex.org/W3199518463","https://openalex.org/W2889209659","https://openalex.org/W2577757416","https://openalex.org/W2604445226","https://openalex.org/W3120884668","https://openalex.org/W1966816616","https://openalex.org/W42408160","https://openalex.org/W2076034203"],"abstract_inverted_index":{"The":[0],"problem":[1,55],"of":[2,42,56,60,70,88,123],"computing":[3],"the":[4,33,54,58,71,100,112,116],"reachable":[5,68,86],"set":[6,59,80,87],"for":[7],"a":[8,12,45,79,85,89,120],"given":[9],"system":[10,38,92],"is":[11,40,134],"quintessential":[13],"question":[14],"in":[15,106,126,136],"nonlinear":[16],"control":[17,108],"theory.":[18],"Motivated":[19],"by":[20,84],"prior":[21],"work":[22],"on":[23,99],"safety-critical":[24],"online":[25],"planning,":[26],"this":[27],"paper":[28],"considers":[29],"an":[30,124,132],"environment":[31],"where":[32],"only":[34],"available":[35,105],"information":[36],"about":[37],"dynamics":[39,43,94],"that":[41,63,77,103,130],"at":[44,95],"single":[46],"point.":[47],"Limited":[48],"to":[49,66,128],"such":[50,78,131],"knowledge,":[51],"we":[52,118],"study":[53],"describing":[57],"all":[61,107],"states":[62],"are":[64,104],"guaranteed":[65],"be":[67,82],"regardless":[69],"unknown":[72],"true":[73],"dynamics.":[74],"We":[75],"show":[76],"can":[81],"underapproximated":[83],"related":[90],"known":[91],"whose":[93],"every":[96],"state":[97],"depend":[98],"velocity":[101],"vectors":[102],"systems":[109],"consistent":[110],"with":[111],"assumed":[113],"knowledge.":[114],"Complementing":[115],"theory,":[117],"discuss":[119],"simple":[121],"model":[122],"aircraft":[125],"distress":[127],"verify":[129],"underapproximation":[133],"meaningful":[135],"practice.":[137]},"counts_by_year":[],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2025-10-10T00:00:00"}
