{"id":"https://openalex.org/W4226081842","doi":"https://doi.org/10.1109/cdc45484.2021.9683349","title":"Safety-Critical Control of Stochastic Systems using Stochastic Control Barrier Functions","display_name":"Safety-Critical Control of Stochastic Systems using Stochastic Control Barrier Functions","publication_year":2021,"publication_date":"2021-12-14","ids":{"openalex":"https://openalex.org/W4226081842","doi":"https://doi.org/10.1109/cdc45484.2021.9683349"},"language":"en","primary_location":{"id":"doi:10.1109/cdc45484.2021.9683349","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc45484.2021.9683349","pdf_url":null,"source":{"id":"https://openalex.org/S4363607724","display_name":"2021 60th IEEE Conference on Decision and Control (CDC)","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":"2021 60th IEEE Conference on Decision and Control (CDC)","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/A5033700470","display_name":"Chuanzheng Wang","orcid":null},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Chuanzheng Wang","raw_affiliation_strings":["University of Waterloo,Department of Applied Mathematics,Waterloo,Ontario,Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Waterloo,Department of Applied Mathematics,Waterloo,Ontario,Canada","institution_ids":["https://openalex.org/I151746483"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024005879","display_name":"Yiming Meng","orcid":"https://orcid.org/0000-0002-2923-7154"},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Yiming Meng","raw_affiliation_strings":["University of Waterloo,Department of Applied Mathematics,Waterloo,Ontario,Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Waterloo,Department of Applied Mathematics,Waterloo,Ontario,Canada","institution_ids":["https://openalex.org/I151746483"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103134580","display_name":"Stephen L. Smith","orcid":"https://orcid.org/0000-0002-8636-407X"},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Stephen L. Smith","raw_affiliation_strings":["University of Waterloo,Department of Electrical and Computer Engineering,Waterloo,Ontario,Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Waterloo,Department of Electrical and Computer Engineering,Waterloo,Ontario,Canada","institution_ids":["https://openalex.org/I151746483"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100678225","display_name":"Jun Liu","orcid":"https://orcid.org/0000-0001-8762-2299"},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Jun Liu","raw_affiliation_strings":["University of Waterloo,Department of Applied Mathematics,Waterloo,Ontario,Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Waterloo,Department of Applied Mathematics,Waterloo,Ontario,Canada","institution_ids":["https://openalex.org/I151746483"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":6.5301,"has_fulltext":false,"cited_by_count":22,"citation_normalized_percentile":{"value":0.98721746,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"5924","last_page":"5931"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9905999898910522,"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":0.9905999898910522,"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/T11413","display_name":"Risk and Portfolio Optimization","score":0.9894999861717224,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T12423","display_name":"Software Reliability and Analysis Research","score":0.9860000014305115,"subfield":{"id":"https://openalex.org/subfields/1712","display_name":"Software"},"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/stochastic-differential-equation","display_name":"Stochastic differential equation","score":0.6829988360404968},{"id":"https://openalex.org/keywords/stochastic-control","display_name":"Stochastic control","score":0.6340333819389343},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.5471058487892151},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.5319733023643494},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5201904773712158},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5158911943435669},{"id":"https://openalex.org/keywords/linear-quadratic-gaussian-control","display_name":"Linear-quadratic-Gaussian control","score":0.4954286813735962},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4925321042537689},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.49211376905441284},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.46834298968315125},{"id":"https://openalex.org/keywords/brownian-noise","display_name":"Brownian noise","score":0.4612196385860443},{"id":"https://openalex.org/keywords/stochastic-process","display_name":"Stochastic process","score":0.42970162630081177},{"id":"https://openalex.org/keywords/gaussian-noise","display_name":"Gaussian noise","score":0.4128410518169403},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3723365068435669},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3351247310638428},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.30538004636764526},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.18036603927612305},{"id":"https://openalex.org/keywords/white-noise","display_name":"White noise","score":0.07928836345672607},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.07374325394630432}],"concepts":[{"id":"https://openalex.org/C51955184","wikidata":"https://www.wikidata.org/wiki/Q1545585","display_name":"Stochastic differential equation","level":2,"score":0.6829988360404968},{"id":"https://openalex.org/C170131372","wikidata":"https://www.wikidata.org/wiki/Q7617811","display_name":"Stochastic control","level":3,"score":0.6340333819389343},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.5471058487892151},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.5319733023643494},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5201904773712158},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5158911943435669},{"id":"https://openalex.org/C204495892","wikidata":"https://www.wikidata.org/wiki/Q1798304","display_name":"Linear-quadratic-Gaussian control","level":3,"score":0.4954286813735962},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4925321042537689},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.49211376905441284},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.46834298968315125},{"id":"https://openalex.org/C50755983","wikidata":"https://www.wikidata.org/wiki/Q1437483","display_name":"Brownian noise","level":3,"score":0.4612196385860443},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.42970162630081177},{"id":"https://openalex.org/C4199805","wikidata":"https://www.wikidata.org/wiki/Q2725903","display_name":"Gaussian noise","level":2,"score":0.4128410518169403},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3723365068435669},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3351247310638428},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.30538004636764526},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.18036603927612305},{"id":"https://openalex.org/C112633086","wikidata":"https://www.wikidata.org/wiki/Q381287","display_name":"White noise","level":2,"score":0.07928836345672607},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.07374325394630432},{"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/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc45484.2021.9683349","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc45484.2021.9683349","pdf_url":null,"source":{"id":"https://openalex.org/S4363607724","display_name":"2021 60th IEEE Conference on Decision and Control (CDC)","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":"2021 60th IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W1424654272","https://openalex.org/W1489872560","https://openalex.org/W1532859487","https://openalex.org/W1845972764","https://openalex.org/W1891170951","https://openalex.org/W1891592265","https://openalex.org/W1980569135","https://openalex.org/W1999629321","https://openalex.org/W2033118636","https://openalex.org/W2132334337","https://openalex.org/W2489231587","https://openalex.org/W2560504659","https://openalex.org/W2563129138","https://openalex.org/W2589869525","https://openalex.org/W2914206182","https://openalex.org/W2968945909","https://openalex.org/W2972429904","https://openalex.org/W2996196387","https://openalex.org/W3011888914","https://openalex.org/W3015605964","https://openalex.org/W3119047266","https://openalex.org/W4285446010","https://openalex.org/W6639175102","https://openalex.org/W6772100842","https://openalex.org/W6775754504"],"related_works":["https://openalex.org/W2097411338","https://openalex.org/W4256064714","https://openalex.org/W2071842300","https://openalex.org/W2011031901","https://openalex.org/W2963859747","https://openalex.org/W2142934230","https://openalex.org/W3112430022","https://openalex.org/W2963640567","https://openalex.org/W2046579740","https://openalex.org/W2580841121"],"abstract_inverted_index":{"Control":[0],"barrier":[1,55,79,96],"functions":[2,56,80,97],"have":[3],"been":[4],"widely":[5],"used":[6],"for":[7,106],"synthesizing":[8],"safety-critical":[9],"controls,":[10],"often":[11],"via":[12],"solving":[13],"quadratic":[14],"programs.":[15],"However,":[16],"the":[17,65,70,107,115,130],"existence":[18],"of":[19,52,72,88,110,136],"Gaussian-type":[20],"noise":[21],"may":[22],"lead":[23],"to":[24,75,92,117],"unsafe":[25],"actions":[26],"and":[27,58,82,138,145],"result":[28],"in":[29,69],"severe":[30],"consequences.":[31],"In":[32],"this":[33,101],"paper,":[34],"we":[35,112],"study":[36],"systems":[37],"modeled":[38],"by":[39,45],"stochastic":[40,53,76,93],"differential":[41],"equations":[42],"(SDEs)":[43],"driven":[44],"Brownian":[46],"motions.":[47],"We":[48,127],"propose":[49],"a":[50,84],"notion":[51,109],"control":[54,66,78,95,139],"(SCBFs)":[57],"show":[59],"that":[60,129],"SCBFs":[61,132],"can":[62],"significantly":[63],"reduce":[64],"efforts,":[67,140],"especially":[68],"presence":[71],"noise,":[73],"compared":[74,91],"reciprocal":[77],"(SRCBFs),":[81],"offer":[83],"less":[85,102],"conservative":[86,103],"estimation":[87,105],"safety":[89,122],"probability,":[90],"zeroing":[94],"(SZCBFs).":[98],"Based":[99],"on":[100],"probabilistic":[104],"proposed":[108,131],"SCBFs,":[111],"further":[113],"extend":[114],"results":[116],"handle":[118],"high":[119],"relative":[120],"degree":[121],"constraints":[123],"using":[124],"high-order":[125],"SCBFs.":[126],"demonstrate":[128],"achieve":[133],"good":[134],"trade-offs":[135],"performance":[137],"both":[141],"through":[142],"theoretical":[143],"analysis":[144],"numerical":[146],"simulations.":[147]},"counts_by_year":[{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":4}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}