{"id":"https://openalex.org/W2033800064","doi":"https://doi.org/10.1016/s0005-1098(96)00227-0","title":"A non-parametric Monte Carlo technique for controller verification","display_name":"A non-parametric Monte Carlo technique for controller verification","publication_year":1997,"publication_date":"1997-05-01","ids":{"openalex":"https://openalex.org/W2033800064","doi":"https://doi.org/10.1016/s0005-1098(96)00227-0","mag":"2033800064"},"language":"en","primary_location":{"id":"doi:10.1016/s0005-1098(96)00227-0","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s0005-1098(96)00227-0","pdf_url":null,"source":{"id":"https://openalex.org/S51360982","display_name":"Automatica","issn_l":"0005-1098","issn":["0005-1098","1873-2836"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Automatica","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1016/s0005-1098(96)00227-0","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5070671270","display_name":"Evangelia Gazi","orcid":null},"institutions":[{"id":"https://openalex.org/I79576946","display_name":"University of Pennsylvania","ror":"https://ror.org/00b30xv10","country_code":"US","type":"education","lineage":["https://openalex.org/I79576946"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Evangelia Gazi","raw_affiliation_strings":["Department of Chemical Engineering, University of Pennsylvania, Philadelphia, PA 19104/6393, U.S.A","Department of Chemical Engineering, University of Pennsylvania, Philadelphia, PA 19104-6393 U.S.A"],"affiliations":[{"raw_affiliation_string":"Department of Chemical Engineering, University of Pennsylvania, Philadelphia, PA 19104/6393, U.S.A","institution_ids":["https://openalex.org/I79576946"]},{"raw_affiliation_string":"Department of Chemical Engineering, University of Pennsylvania, Philadelphia, PA 19104-6393 U.S.A","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053380932","display_name":"Warren D. Seider","orcid":"https://orcid.org/0000-0002-4217-8670"},"institutions":[{"id":"https://openalex.org/I79576946","display_name":"University of Pennsylvania","ror":"https://ror.org/00b30xv10","country_code":"US","type":"education","lineage":["https://openalex.org/I79576946"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Warren D. Seider","raw_affiliation_strings":["Department of Chemical Engineering, University of Pennsylvania, Philadelphia, PA 19104/6393, U.S.A","Department of Chemical Engineering, University of Pennsylvania, Philadelphia, PA 19104-6393 U.S.A"],"affiliations":[{"raw_affiliation_string":"Department of Chemical Engineering, University of Pennsylvania, Philadelphia, PA 19104/6393, U.S.A","institution_ids":["https://openalex.org/I79576946"]},{"raw_affiliation_string":"Department of Chemical Engineering, University of Pennsylvania, Philadelphia, PA 19104-6393 U.S.A","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5044944954","display_name":"Lyle Ungar","orcid":"https://orcid.org/0000-0003-2047-1443"},"institutions":[{"id":"https://openalex.org/I79576946","display_name":"University of Pennsylvania","ror":"https://ror.org/00b30xv10","country_code":"US","type":"education","lineage":["https://openalex.org/I79576946"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Lyle H. Ungar","raw_affiliation_strings":["Department of Chemical Engineering, University of Pennsylvania, Philadelphia, PA 19104/6393, U.S.A","Department of Chemical Engineering, University of Pennsylvania, Philadelphia, PA 19104-6393 U.S.A"],"affiliations":[{"raw_affiliation_string":"Department of Chemical Engineering, University of Pennsylvania, Philadelphia, PA 19104/6393, U.S.A","institution_ids":["https://openalex.org/I79576946"]},{"raw_affiliation_string":"Department of Chemical Engineering, University of Pennsylvania, Philadelphia, PA 19104-6393 U.S.A","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5053380932"],"corresponding_institution_ids":["https://openalex.org/I79576946"],"apc_list":{"value":3500,"currency":"USD","value_usd":3500},"apc_paid":{"value":3500,"currency":"USD","value_usd":3500},"fwci":0.0,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.17003106,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"33","issue":"5","first_page":"901","last_page":"906"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10876","display_name":"Fault Detection and Control Systems","score":0.9991000294685364,"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":0.9991000294685364,"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":0.9980000257492065,"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/T10906","display_name":"AI-based Problem Solving and Planning","score":0.996399998664856,"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/monte-carlo-method","display_name":"Monte Carlo method","score":0.7418819069862366},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.671270489692688},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.5909057855606079},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.587726354598999},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5412707924842834},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5340797901153564},{"id":"https://openalex.org/keywords/state-space","display_name":"State space","score":0.5144022107124329},{"id":"https://openalex.org/keywords/ode","display_name":"Ode","score":0.5115362405776978},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5090801119804382},{"id":"https://openalex.org/keywords/state-variable","display_name":"State variable","score":0.48754116892814636},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.47683849930763245},{"id":"https://openalex.org/keywords/subdivision","display_name":"Subdivision","score":0.45928430557250977},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3899335265159607},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.37093210220336914},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.29432231187820435},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1540345549583435},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.13617396354675293},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.11009779572486877}],"concepts":[{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.7418819069862366},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.671270489692688},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.5909057855606079},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.587726354598999},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5412707924842834},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5340797901153564},{"id":"https://openalex.org/C72434380","wikidata":"https://www.wikidata.org/wiki/Q230930","display_name":"State space","level":2,"score":0.5144022107124329},{"id":"https://openalex.org/C34862557","wikidata":"https://www.wikidata.org/wiki/Q178985","display_name":"Ode","level":2,"score":0.5115362405776978},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5090801119804382},{"id":"https://openalex.org/C129537906","wikidata":"https://www.wikidata.org/wiki/Q7603913","display_name":"State variable","level":2,"score":0.48754116892814636},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.47683849930763245},{"id":"https://openalex.org/C143392562","wikidata":"https://www.wikidata.org/wiki/Q449111","display_name":"Subdivision","level":2,"score":0.45928430557250977},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3899335265159607},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.37093210220336914},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.29432231187820435},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1540345549583435},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.13617396354675293},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.11009779572486877},{"id":"https://openalex.org/C166957645","wikidata":"https://www.wikidata.org/wiki/Q23498","display_name":"Archaeology","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","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/C95457728","wikidata":"https://www.wikidata.org/wiki/Q309","display_name":"History","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},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0005-1098(96)00227-0","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s0005-1098(96)00227-0","pdf_url":null,"source":{"id":"https://openalex.org/S51360982","display_name":"Automatica","issn_l":"0005-1098","issn":["0005-1098","1873-2836"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Automatica","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1016/s0005-1098(96)00227-0","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s0005-1098(96)00227-0","pdf_url":null,"source":{"id":"https://openalex.org/S51360982","display_name":"Automatica","issn_l":"0005-1098","issn":["0005-1098","1873-2836"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Automatica","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W101657356","https://openalex.org/W169774517","https://openalex.org/W1604822211","https://openalex.org/W2000999576","https://openalex.org/W2016787741","https://openalex.org/W2028061029","https://openalex.org/W2032355723","https://openalex.org/W2032804086","https://openalex.org/W2050123972","https://openalex.org/W2053190303","https://openalex.org/W2069037813","https://openalex.org/W2081672625","https://openalex.org/W2094238924","https://openalex.org/W2912848477","https://openalex.org/W4251843020","https://openalex.org/W4285719527","https://openalex.org/W6604032660","https://openalex.org/W6606913846"],"related_works":["https://openalex.org/W3013517953","https://openalex.org/W4300198904","https://openalex.org/W2565854637","https://openalex.org/W2350975419","https://openalex.org/W2182092373","https://openalex.org/W637044931","https://openalex.org/W3040382978","https://openalex.org/W1899342072","https://openalex.org/W106726977","https://openalex.org/W4233397316"],"abstract_inverted_index":{"This":[0],"paper":[1],"extends":[2],"the":[3,15,18,34,38,48,52,61,70,83,87,106],"Monte":[4],"Carlo":[5],"technique":[6,101],"to":[7,57,97,104],"systems":[8],"that":[9,36,50],"exhibit":[10],"non-parametric":[11],"uncertainty":[12],"i.e.":[13],"when":[14],"form":[16],"of":[17,27,60,69,72,82,108],"equations":[19],"is":[20,45,78,102],"not":[21],"known":[22,40],"exactly.":[23],"A":[24],"large":[25],"number":[26],"monotonie":[28,73],"curves":[29],"are":[30,55],"generated":[31,43],"randomly":[32,90],"within":[33],"envelopes":[35],"bound":[37],"incompletely":[39],"functions.":[41],"Each":[42],"curve":[44],"substituted":[46],"into":[47],"ODEs":[49],"describe":[51],"system,":[53],"which":[54],"integrated":[56],"determine":[58],"trajectories":[59],"state":[62],"variables.":[63],"To":[64],"ensure":[65],"a":[66,75],"satisfactory":[67],"coverage":[68],"space":[71],"functions,":[74],"recursive-subdivision":[76],"algorithm":[77],"introduced":[79],"for":[80],"discretization":[81],"independent":[84],"variables,":[85],"with":[86,117],"dependent":[88],"variable":[89],"selected":[91],"at":[92],"each":[93],"grid":[94],"point,":[95],"according":[96],"suggested":[98],"distributions.":[99],"The":[100],"applied":[103],"verify":[105],"stability":[107],"closed-loop":[109],"nonlinear":[110],"systems,":[111],"as":[112],"arise":[113],"in":[114],"chemical":[115],"plants":[116],"process":[118],"controllers.":[119]},"counts_by_year":[{"year":2016,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}