{"id":"https://openalex.org/W4382935990","doi":"https://doi.org/10.23919/acc55779.2023.10155843","title":"Barrier Functions for Robust Safety in Differential Inclusions, Part III: Inner and Outer Perturbations","display_name":"Barrier Functions for Robust Safety in Differential Inclusions, Part III: Inner and Outer Perturbations","publication_year":2023,"publication_date":"2023-05-31","ids":{"openalex":"https://openalex.org/W4382935990","doi":"https://doi.org/10.23919/acc55779.2023.10155843"},"language":"en","primary_location":{"id":"doi:10.23919/acc55779.2023.10155843","is_oa":false,"landing_page_url":"http://dx.doi.org/10.23919/acc55779.2023.10155843","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 American Control Conference (ACC)","raw_type":"proceedings-article"},"type":"preprint","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/A5089823607","display_name":"Diana Karaki","orcid":"https://orcid.org/0009-0003-5202-3845"},"institutions":[{"id":"https://openalex.org/I106785703","display_name":"Institut polytechnique de Grenoble","ror":"https://ror.org/05sbt2524","country_code":"FR","type":"education","lineage":["https://openalex.org/I106785703","https://openalex.org/I899635006"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I899635006","display_name":"Universit\u00e9 Grenoble Alpes","ror":"https://ror.org/02rx3b187","country_code":"FR","type":"education","lineage":["https://openalex.org/I899635006"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Diana Karaki","raw_affiliation_strings":["University of Grenoble Alpes, CNRS,Grenoble INP,France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Grenoble Alpes, CNRS,Grenoble INP,France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I899635006","https://openalex.org/I106785703"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5010463609","display_name":"Mohamed Maghenem","orcid":"https://orcid.org/0000-0002-8746-9375"},"institutions":[{"id":"https://openalex.org/I106785703","display_name":"Institut polytechnique de Grenoble","ror":"https://ror.org/05sbt2524","country_code":"FR","type":"education","lineage":["https://openalex.org/I106785703","https://openalex.org/I899635006"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I899635006","display_name":"Universit\u00e9 Grenoble Alpes","ror":"https://ror.org/02rx3b187","country_code":"FR","type":"education","lineage":["https://openalex.org/I899635006"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Mohamed Maghenem","raw_affiliation_strings":["University of Grenoble Alpes, CNRS,Grenoble INP,France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Grenoble Alpes, CNRS,Grenoble INP,France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I899635006","https://openalex.org/I106785703"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0687378,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"4124","last_page":"4129"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10805","display_name":"Vehicle Dynamics and Control Systems","score":0.9176999926567078,"subfield":{"id":"https://openalex.org/subfields/2203","display_name":"Automotive 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/T10805","display_name":"Vehicle Dynamics and Control Systems","score":0.9176999926567078,"subfield":{"id":"https://openalex.org/subfields/2203","display_name":"Automotive 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/T10524","display_name":"Traffic control and management","score":0.9160000085830688,"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/T10142","display_name":"Formal Methods in Verification","score":0.9122999906539917,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/differential-inclusion","display_name":"Differential inclusion","score":0.8062307834625244},{"id":"https://openalex.org/keywords/perturbation","display_name":"Perturbation (astronomy)","score":0.6509101390838623},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.6484333276748657},{"id":"https://openalex.org/keywords/certificate","display_name":"Certificate","score":0.5566417574882507},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.49530377984046936},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4347800016403198},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.42209863662719727},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3831906318664551},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.30426090955734253},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2935599088668823},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.2581462264060974},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2309761643409729},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.13425374031066895}],"concepts":[{"id":"https://openalex.org/C70834904","wikidata":"https://www.wikidata.org/wiki/Q1054638","display_name":"Differential inclusion","level":2,"score":0.8062307834625244},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.6509101390838623},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.6484333276748657},{"id":"https://openalex.org/C96865113","wikidata":"https://www.wikidata.org/wiki/Q2946816","display_name":"Certificate","level":2,"score":0.5566417574882507},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.49530377984046936},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4347800016403198},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.42209863662719727},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3831906318664551},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.30426090955734253},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2935599088668823},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2581462264060974},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2309761643409729},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13425374031066895},{"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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.23919/acc55779.2023.10155843","is_oa":false,"landing_page_url":"http://dx.doi.org/10.23919/acc55779.2023.10155843","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 American Control Conference (ACC)","raw_type":"proceedings-article"},{"id":"pmh:oai:HAL:hal-04302955v1","is_oa":false,"landing_page_url":"https://hal.science/hal-04302955","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://acc2023.a2c2.org/","raw_type":"Conference papers"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.49000000953674316,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W1514218977","https://openalex.org/W1569239057","https://openalex.org/W1607353007","https://openalex.org/W1627251346","https://openalex.org/W1960239420","https://openalex.org/W2033118636","https://openalex.org/W2077367989","https://openalex.org/W2129729773","https://openalex.org/W2306779804","https://openalex.org/W2322654430","https://openalex.org/W2963249498","https://openalex.org/W3014476692","https://openalex.org/W3035859317","https://openalex.org/W3094402048","https://openalex.org/W3119862069","https://openalex.org/W3173005002","https://openalex.org/W3200805077","https://openalex.org/W4210735332","https://openalex.org/W4226340698","https://openalex.org/W4226496810","https://openalex.org/W4240329752","https://openalex.org/W4251507077","https://openalex.org/W4285193215","https://openalex.org/W4293253049","https://openalex.org/W4293567677","https://openalex.org/W4309339995","https://openalex.org/W6698064850","https://openalex.org/W6779797355","https://openalex.org/W6808070983","https://openalex.org/W6842489977","https://openalex.org/W6842638504","https://openalex.org/W6842696911"],"related_works":["https://openalex.org/W2152564765","https://openalex.org/W2052660238","https://openalex.org/W2090389138","https://openalex.org/W2020719402","https://openalex.org/W2606062883","https://openalex.org/W4249020370","https://openalex.org/W2889254641","https://openalex.org/W2367351424","https://openalex.org/W4288351327","https://openalex.org/W2493990857"],"abstract_inverted_index":{"This":[0],"paper":[1,80],"introduces":[2],"a":[3,29,93,146],"new":[4],"robust-safety":[5],"notion":[6,76],"for":[7,107],"differential":[8],"inclusions.":[9],"That":[10],"is,":[11],"we":[12,98,134],"say":[13],"that":[14,100,124],"the":[15,26,40,43,54,62,69,72,75,89,103,128,136,143],"system":[16],"is":[17,65,81,92],"strongly":[18],"robustly":[19],"safe":[20,24],"if":[21],"it":[22],"remains":[23],"in":[25,50,78,110],"presence":[27],"of":[28,45,71,102,112,145],"continuous":[30],"and":[31,42,59,142],"positive":[32],"perturbation,":[33],"named":[34],"robustness":[35],"margin,":[36],"added":[37,66],"to":[38,68,83,118],"both":[39],"argument":[41],"image":[44,70],"its":[46],"right-hand":[47,73,90,129],"side.":[48],"While":[49],"existing":[51,104],"literature,":[52],"including":[53],"preceding":[55],"Parts":[56],"I":[57],"[1]":[58],"II":[60],"[2],":[61],"perturbation":[63],"term":[64,111],"only":[67],"side,":[74],"proposed":[77],"this":[79],"shown":[82],"be":[84],"relatively":[85],"stronger,":[86],"especially":[87],"when":[88],"side":[91,130],"general":[94],"set-valued":[95],"map.":[96],"Furthermore,":[97],"show":[99],"some":[101],"sufficient":[105],"conditions":[106],"robust":[108,121,140],"safety,":[109,122],"barrier":[113,148],"functions,":[114],"are":[115],"strong":[116,120,139],"enough":[117],"guarantee":[119],"provided":[123],"mild":[125],"assumptions":[126],"on":[127],"hold.":[131],"Following":[132],"that,":[133],"establish":[135],"equivalence":[137],"between":[138],"safety":[141],"existence":[144],"smooth":[147],"certificate.":[149]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}