{"id":"https://openalex.org/W2567844143","doi":"https://doi.org/10.1109/cdc.2016.7799248","title":"Safety and invariance for constrained switching systems","display_name":"Safety and invariance for constrained switching systems","publication_year":2016,"publication_date":"2016-12-01","ids":{"openalex":"https://openalex.org/W2567844143","doi":"https://doi.org/10.1109/cdc.2016.7799248","mag":"2567844143"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2016.7799248","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2016.7799248","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 IEEE 55th Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://pureadmin.qub.ac.uk/ws/files/138053244/CDC2016.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101980175","display_name":"\u039d\u03b9\u03ba\u03cc\u03bb\u03b1\u03bf\u03c2 \u0391\u03b8\u03b1\u03bd\u03b1\u03c3\u03cc\u03c0\u03bf\u03c5\u03bb\u03bf\u03c2","orcid":"https://orcid.org/0000-0002-0845-6163"},"institutions":[{"id":"https://openalex.org/I95674353","display_name":"UCLouvain","ror":"https://ror.org/02495e989","country_code":"BE","type":"education","lineage":["https://openalex.org/I95674353"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Nikolaos Athanasopoulos","raw_affiliation_strings":["ICTEAM, Universit\u00e9 Catholique de Louvain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ICTEAM, Universit\u00e9 Catholique de Louvain","institution_ids":["https://openalex.org/I95674353"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032512506","display_name":"Konstantinos Smpoukis","orcid":"https://orcid.org/0000-0001-8188-6146"},"institutions":[{"id":"https://openalex.org/I174878644","display_name":"University of Patras","ror":"https://ror.org/017wvtq80","country_code":"GR","type":"education","lineage":["https://openalex.org/I174878644"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"Konstantinos Smpoukis","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Patras, Greece"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Patras, Greece","institution_ids":["https://openalex.org/I174878644"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5056625594","display_name":"Rapha\u00ebl M. Jungers","orcid":"https://orcid.org/0000-0002-7789-0940"},"institutions":[{"id":"https://openalex.org/I95674353","display_name":"UCLouvain","ror":"https://ror.org/02495e989","country_code":"BE","type":"education","lineage":["https://openalex.org/I95674353"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Raphael M. Jungers","raw_affiliation_strings":["ICTEAM, Universit\u00e9 Catholique de Louvain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ICTEAM, Universit\u00e9 Catholique de Louvain","institution_ids":["https://openalex.org/I95674353"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":9,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"6362","last_page":"6367"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9994999766349792,"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":0.9994999766349792,"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":0.9911999702453613,"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":0.9828000068664551,"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/invariant","display_name":"Invariant (physics)","score":0.7697343826293945},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6449958682060242},{"id":"https://openalex.org/keywords/automaton","display_name":"Automaton","score":0.6292964220046997},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.49151548743247986},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4494556486606598},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4415634274482727},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.4410214424133301},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4401085078716278},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.4287137985229492},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.38829314708709717},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3766602873802185},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.32344645261764526},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09047794342041016}],"concepts":[{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.7697343826293945},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6449958682060242},{"id":"https://openalex.org/C112505250","wikidata":"https://www.wikidata.org/wiki/Q787116","display_name":"Automaton","level":2,"score":0.6292964220046997},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.49151548743247986},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4494556486606598},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4415634274482727},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.4410214424133301},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4401085078716278},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.4287137985229492},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.38829314708709717},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3766602873802185},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.32344645261764526},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09047794342041016},{"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/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/cdc.2016.7799248","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2016.7799248","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 IEEE 55th Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},{"id":"pmh:oai:pure.qub.ac.uk/portal:openaire/7793dce5-8379-4505-bddc-ee72e032a6fa","is_oa":true,"landing_page_url":"https://pure.qub.ac.uk/en/publications/7793dce5-8379-4505-bddc-ee72e032a6fa","pdf_url":"https://pureadmin.qub.ac.uk/ws/files/138053244/CDC2016.pdf","source":{"id":"https://openalex.org/S4306402319","display_name":"Research Portal (Queen's University Belfast)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I126231945","host_organization_name":"Queen's University Belfast","host_organization_lineage":["https://openalex.org/I126231945"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Athanasopoulos, N, Smpoukis, K & Jungers, R M 2016, Safety and invariance for constrained switching systems. in 55th Conference on Decision and Control (CDC), 2016 IEEE: Proceedings. Institute of Electrical and Electronics Engineers Inc., pp. 6362-6367. https://doi.org/10.1109/CDC.2016.7799248","raw_type":"info:eu-repo/semantics/conferenceObject"},{"id":"pmh:oai:dial.uclouvain.be:boreal:180287","is_oa":false,"landing_page_url":"http://hdl.handle.net/2078.1/180287","pdf_url":null,"source":{"id":"https://openalex.org/S4306401974","display_name":"DIAL (Catholic University of Leuven)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I99464096","host_organization_name":"KU Leuven","host_organization_lineage":["https://openalex.org/I99464096"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Decision and Control (CDC),","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":{"id":"pmh:oai:pure.qub.ac.uk/portal:openaire/7793dce5-8379-4505-bddc-ee72e032a6fa","is_oa":true,"landing_page_url":"https://pure.qub.ac.uk/en/publications/7793dce5-8379-4505-bddc-ee72e032a6fa","pdf_url":"https://pureadmin.qub.ac.uk/ws/files/138053244/CDC2016.pdf","source":{"id":"https://openalex.org/S4306402319","display_name":"Research Portal (Queen's University Belfast)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I126231945","host_organization_name":"Queen's University Belfast","host_organization_lineage":["https://openalex.org/I126231945"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Athanasopoulos, N, Smpoukis, K & Jungers, R M 2016, Safety and invariance for constrained switching systems. in 55th Conference on Decision and Control (CDC), 2016 IEEE: Proceedings. Institute of Electrical and Electronics Engineers Inc., pp. 6362-6367. https://doi.org/10.1109/CDC.2016.7799248","raw_type":"info:eu-repo/semantics/conferenceObject"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321390","display_name":"Fonds De La Recherche Scientifique - FNRS","ror":"https://ror.org/03q83t159"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2567844143.pdf","grobid_xml":"https://content.openalex.org/works/W2567844143.grobid-xml"},"referenced_works_count":19,"referenced_works":["https://openalex.org/W584400962","https://openalex.org/W1497233851","https://openalex.org/W1642990561","https://openalex.org/W1830671353","https://openalex.org/W2001265842","https://openalex.org/W2062974796","https://openalex.org/W2084939760","https://openalex.org/W2084970142","https://openalex.org/W2095233962","https://openalex.org/W2115931752","https://openalex.org/W2119974577","https://openalex.org/W2126416928","https://openalex.org/W2138106528","https://openalex.org/W2171505650","https://openalex.org/W2300351358","https://openalex.org/W2963722426","https://openalex.org/W4245376853","https://openalex.org/W4285719527","https://openalex.org/W6687305168"],"related_works":["https://openalex.org/W1630076647","https://openalex.org/W2371138613","https://openalex.org/W3013085049","https://openalex.org/W2048963458","https://openalex.org/W43109613","https://openalex.org/W2359952343","https://openalex.org/W2080152487","https://openalex.org/W2239445980","https://openalex.org/W2120455979","https://openalex.org/W4200527723"],"abstract_inverted_index":{"We":[0,11],"study":[1],"discrete":[2],"time":[3,124],"linear":[4],"switching":[5,24,27,42,119],"systems":[6,120],"subject":[7],"to":[8,39,93,107,118],"additive":[9],"disturbances.":[10],"consider":[12],"two":[13],"types":[14],"of":[15,50,64,72,82,102,114,132],"constraints,":[16],"namely":[17],"on":[18,22],"the":[19,23,40,48,70,95,109,115],"states":[20],"and":[21,76,104,129],"signal.":[25],"A":[26],"sequence":[28],"is":[29,33],"admissible":[30],"if":[31],"it":[32],"accepted":[34],"by":[35],"an":[36,51,73,90,105],"automaton.":[37],"Contrary":[38],"arbitrary":[41],"case,":[43],"stability":[44],"does":[45],"not":[46],"imply":[47],"existence":[49],"invariant":[52,67,74,97,111],"<sup":[53],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[54],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">1</sup>":[55],"set.":[56],"In":[57],"this":[58],"article,":[59],"we":[60,88],"propose":[61],"a":[62,65,100],"generalization":[63],"bounded":[66],"set,":[68],"namely,":[69],"notion":[71],"multi-set":[75,98],"show":[77],"its":[78],"significance":[79],"in":[80],"terms":[81],"dynamical":[83],"systems.":[84],"Under":[85],"standard":[86],"assumptions,":[87],"provide":[89],"iterative":[91],"algorithm":[92,106],"approximate":[94],"minimal":[96],"with":[99,121],"guarantee":[101],"accuracy":[103],"compute":[108],"maximal":[110],"multi-set.":[112],"Application":[113],"established":[116],"framework":[117],"minimum":[122],"dwell":[123],"reveals":[125],"potential":[126],"computational":[127],"benefits":[128],"allows":[130],"formulations":[131],"more":[133],"refined":[134],"notions.":[135]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}