{"id":"https://openalex.org/W2912352293","doi":"https://doi.org/10.1109/cdc.2018.8618998","title":"Barrier Function Certificates for Forward Invariance in Hybrid Inclusions","display_name":"Barrier Function Certificates for Forward Invariance in Hybrid Inclusions","publication_year":2018,"publication_date":"2018-12-01","ids":{"openalex":"https://openalex.org/W2912352293","doi":"https://doi.org/10.1109/cdc.2018.8618998","mag":"2912352293"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2018.8618998","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2018.8618998","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://escholarship.org/content/qt82p8f3pp/qt82p8f3pp.pdf?t=q585qn","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5010463609","display_name":"Mohamed Maghenem","orcid":"https://orcid.org/0000-0002-8746-9375"},"institutions":[{"id":"https://openalex.org/I185103710","display_name":"University of California, Santa Cruz","ror":"https://ror.org/03s65by71","country_code":"US","type":"education","lineage":["https://openalex.org/I185103710"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Mohamed Maghenem","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of California, Santa Cruz"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of California, Santa Cruz","institution_ids":["https://openalex.org/I185103710"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5028224738","display_name":"Ricardo G. Sanfelice","orcid":"https://orcid.org/0000-0002-6671-5362"},"institutions":[{"id":"https://openalex.org/I185103710","display_name":"University of California, Santa Cruz","ror":"https://ror.org/03s65by71","country_code":"US","type":"education","lineage":["https://openalex.org/I185103710"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ricardo G. Sanfelice","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of California, Santa Cruz"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of California, Santa Cruz","institution_ids":["https://openalex.org/I185103710"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5010463609"],"corresponding_institution_ids":["https://openalex.org/I185103710"],"apc_list":null,"apc_paid":null,"fwci":2.2469,"has_fulltext":true,"cited_by_count":13,"citation_normalized_percentile":{"value":0.88992857,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"759","last_page":"764"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9994000196456909,"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":0.9994000196456909,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9973999857902527,"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":0.9908999800682068,"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/zenos-paradoxes","display_name":"Zeno's paradoxes","score":0.7627317309379578},{"id":"https://openalex.org/keywords/infinitesimal","display_name":"Infinitesimal","score":0.7205443382263184},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.48985764384269714},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.480033278465271},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.44892993569374084},{"id":"https://openalex.org/keywords/minkowski-space","display_name":"Minkowski space","score":0.44725799560546875},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.43612197041511536},{"id":"https://openalex.org/keywords/hybrid-system","display_name":"Hybrid system","score":0.4243486225605011},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.35735374689102173},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.31323182582855225},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.0885065495967865}],"concepts":[{"id":"https://openalex.org/C7707877","wikidata":"https://www.wikidata.org/wiki/Q33378","display_name":"Zeno's paradoxes","level":2,"score":0.7627317309379578},{"id":"https://openalex.org/C91229774","wikidata":"https://www.wikidata.org/wiki/Q193885","display_name":"Infinitesimal","level":2,"score":0.7205443382263184},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.48985764384269714},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.480033278465271},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.44892993569374084},{"id":"https://openalex.org/C79464548","wikidata":"https://www.wikidata.org/wiki/Q464794","display_name":"Minkowski space","level":2,"score":0.44725799560546875},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.43612197041511536},{"id":"https://openalex.org/C50897621","wikidata":"https://www.wikidata.org/wiki/Q2665508","display_name":"Hybrid system","level":2,"score":0.4243486225605011},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35735374689102173},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.31323182582855225},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0885065495967865},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/cdc.2018.8618998","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2018.8618998","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},{"id":"pmh:oai:escholarship.org:ark:/13030/qt82p8f3pp","is_oa":true,"landing_page_url":"https://escholarship.org/uc/item/82p8f3pp","pdf_url":"https://escholarship.org/content/qt82p8f3pp/qt82p8f3pp.pdf?t=q585qn","source":{"id":"https://openalex.org/S4306400115","display_name":"eScholarship (California Digital Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2801248553","host_organization_name":"California Digital Library","host_organization_lineage":["https://openalex.org/I2801248553"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:escholarship.org:ark:/13030/qt82p8f3pp","is_oa":true,"landing_page_url":"https://escholarship.org/uc/item/82p8f3pp","pdf_url":"https://escholarship.org/content/qt82p8f3pp/qt82p8f3pp.pdf?t=q585qn","source":{"id":"https://openalex.org/S4306400115","display_name":"eScholarship (California Digital Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2801248553","host_organization_name":"California Digital Library","host_organization_lineage":["https://openalex.org/I2801248553"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.7599999904632568}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2912352293.pdf","grobid_xml":"https://content.openalex.org/works/W2912352293.grobid-xml"},"referenced_works_count":21,"referenced_works":["https://openalex.org/W1551360398","https://openalex.org/W1615359958","https://openalex.org/W1749724378","https://openalex.org/W1960239420","https://openalex.org/W1972149633","https://openalex.org/W1988538197","https://openalex.org/W2033118636","https://openalex.org/W2077367989","https://openalex.org/W2099308299","https://openalex.org/W2112248103","https://openalex.org/W2115595609","https://openalex.org/W2142283990","https://openalex.org/W2171505650","https://openalex.org/W2238345790","https://openalex.org/W2290638732","https://openalex.org/W2325101949","https://openalex.org/W2560504659","https://openalex.org/W2612952478","https://openalex.org/W2885835093","https://openalex.org/W3098925401","https://openalex.org/W4240329752"],"related_works":["https://openalex.org/W4388287607","https://openalex.org/W2383752020","https://openalex.org/W2475803354","https://openalex.org/W2353128426","https://openalex.org/W101151480","https://openalex.org/W2156018532","https://openalex.org/W2146826400","https://openalex.org/W2134213155","https://openalex.org/W2118115577","https://openalex.org/W2189251696"],"abstract_inverted_index":{"This":[0],"paper":[1],"proposes":[2],"barrier":[3,25,59],"functions":[4],"for":[5,39],"the":[6,58,66],"study":[7],"of":[8,23,36,44],"forward":[9,33],"invariance":[10,34],"in":[11],"hybrid":[12,16,40],"systems":[13,41],"modeled":[14],"by":[15],"inclusions.":[17],"After":[18],"introducing":[19],"an":[20],"appropriate":[21],"notion":[22],"a":[24,37],"function,":[26],"we":[27],"propose":[28],"sufficient":[29],"conditions":[30,53,56],"to":[31],"guarantee":[32],"properties":[35],"set":[38],"with":[42],"nonuniqueness":[43],"solutions,":[45],"solutions":[46],"terminating":[47],"prematurely,":[48],"and":[49,61],"Zeno":[50],"solutions.":[51],"Our":[52],"involve":[54],"infinitesimal":[55],"on":[57],"certificate":[60],"Minkowski":[62],"functionals.":[63],"Examples":[64],"illustrate":[65],"results.":[67]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}