{"id":"https://openalex.org/W2626367372","doi":"https://doi.org/10.1109/lcsys.2017.2714840","title":"Invariant Sets Analysis for Constrained Switching Systems","display_name":"Invariant Sets Analysis for Constrained Switching Systems","publication_year":2017,"publication_date":"2017-06-12","ids":{"openalex":"https://openalex.org/W2626367372","doi":"https://doi.org/10.1109/lcsys.2017.2714840","mag":"2626367372"},"language":"en","primary_location":{"id":"doi:10.1109/lcsys.2017.2714840","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcsys.2017.2714840","pdf_url":null,"source":{"id":"https://openalex.org/S4306422535","display_name":"IEEE Control Systems Letters","issn_l":"2475-1456","issn":["2475-1456"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Control Systems Letters","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://pureadmin.qub.ac.uk/ws/files/138018780/IEEECSLetters2017.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":"N. Athanasopoulos","raw_affiliation_strings":["ICTEAM Institute, UCLouvain, Louvain-la-Neuve, Belgium"],"raw_orcid":"https://orcid.org/0000-0002-0845-6163","affiliations":[{"raw_affiliation_string":"ICTEAM Institute, UCLouvain, Louvain-la-Neuve, Belgium","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":"K. Smpoukis","raw_affiliation_strings":["Electrical and Computer Engineering Department, University of Patras, Patras, Greece"],"raw_orcid":"https://orcid.org/0000-0001-8188-6146","affiliations":[{"raw_affiliation_string":"Electrical and Computer Engineering Department, University of Patras, 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/I161318765","display_name":"University of California, Los Angeles","ror":"https://ror.org/046rm7j60","country_code":"US","type":"education","lineage":["https://openalex.org/I161318765"]},{"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","US"],"is_corresponding":false,"raw_author_name":"R. M. Jungers","raw_affiliation_strings":["EE Department, University of California at Los Angeles, Los Angeles, CA, USA","ICTEAM Institute, UCLouvain, Louvain-la-Neuve, Belgium"],"raw_orcid":"https://orcid.org/0000-0002-7789-0940","affiliations":[{"raw_affiliation_string":"EE Department, University of California at Los Angeles, Los Angeles, CA, USA","institution_ids":["https://openalex.org/I161318765"]},{"raw_affiliation_string":"ICTEAM Institute, UCLouvain, Louvain-la-Neuve, Belgium","institution_ids":["https://openalex.org/I95674353"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.5791,"has_fulltext":true,"cited_by_count":25,"citation_normalized_percentile":{"value":0.89936691,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"1","issue":"2","first_page":"256","last_page":"261"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9998999834060669,"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":0.9998999834060669,"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":0.998199999332428,"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":0.995199978351593,"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":0.7320142984390259},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.588847815990448},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.5680840015411377},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.4823169708251953},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.45100274682044983},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.4508190453052521},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.423453152179718},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4202577769756317},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.41837549209594727},{"id":"https://openalex.org/keywords/lti-system-theory","display_name":"LTI system theory","score":0.41263347864151},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.34500378370285034},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3436548709869385},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.333615779876709},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1514929234981537},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.14064335823059082},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.06564781069755554}],"concepts":[{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.7320142984390259},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.588847815990448},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.5680840015411377},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.4823169708251953},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.45100274682044983},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.4508190453052521},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.423453152179718},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4202577769756317},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.41837549209594727},{"id":"https://openalex.org/C87698059","wikidata":"https://www.wikidata.org/wiki/Q1808960","display_name":"LTI system theory","level":3,"score":0.41263347864151},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.34500378370285034},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3436548709869385},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.333615779876709},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1514929234981537},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.14064335823059082},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06564781069755554},{"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/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/lcsys.2017.2714840","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcsys.2017.2714840","pdf_url":null,"source":{"id":"https://openalex.org/S4306422535","display_name":"IEEE Control Systems Letters","issn_l":"2475-1456","issn":["2475-1456"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Control Systems Letters","raw_type":"journal-article"},{"id":"pmh:oai:pure.qub.ac.uk/portal:openaire/7fbdd4e7-8e91-40d5-b0de-354173148818","is_oa":true,"landing_page_url":"https://pure.qub.ac.uk/en/publications/7fbdd4e7-8e91-40d5-b0de-354173148818","pdf_url":"https://pureadmin.qub.ac.uk/ws/files/138018780/IEEECSLetters2017.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 2017, 'Invariant Sets Analysis for Constrained Switching Systems', IEEE Control Systems Letters, vol. 1, no. 2, pp. 256-261. https://doi.org/10.1109/LCSYS.2017.2714840","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:dial.uclouvain.be:boreal:191233","is_oa":false,"landing_page_url":"http://hdl.handle.net/2078.1/191233","pdf_url":null,"source":{"id":"https://openalex.org/S4306400166","display_name":"Digital Access to Libraries","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2800384882","host_organization_name":"Harris County Public Library","host_organization_lineage":["https://openalex.org/I2800384882"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Control Systems Letters, Vol. 1, p. 256-261 (2017)","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:dial.uclouvain.be:boreal:194117","is_oa":false,"landing_page_url":"http://hdl.handle.net/2078.1/194117","pdf_url":null,"source":{"id":"https://openalex.org/S4306401902","display_name":"Digital Access to Libraries (Universit\u00e9 catholique de Louvain (UCL), l'Universit\u00e9 de Namur (UNamur) and the Universit\u00e9 Saint-Louis (USL-B))","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I95674353","host_organization_name":"UCLouvain","host_organization_lineage":["https://openalex.org/I95674353"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Control Systems Letters, Vol. 1, p. 256-261 (2017)","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:pure.qub.ac.uk/portal:openaire/7fbdd4e7-8e91-40d5-b0de-354173148818","is_oa":true,"landing_page_url":"https://pure.qub.ac.uk/en/publications/7fbdd4e7-8e91-40d5-b0de-354173148818","pdf_url":"https://pureadmin.qub.ac.uk/ws/files/138018780/IEEECSLetters2017.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 2017, 'Invariant Sets Analysis for Constrained Switching Systems', IEEE Control Systems Letters, vol. 1, no. 2, pp. 256-261. https://doi.org/10.1109/LCSYS.2017.2714840","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321584","display_name":"F\u00e9d\u00e9ration Wallonie-Bruxelles","ror":"https://ror.org/04q01pf08"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2626367372.pdf","grobid_xml":"https://content.openalex.org/works/W2626367372.grobid-xml"},"referenced_works_count":39,"referenced_works":["https://openalex.org/W1497233851","https://openalex.org/W1569239057","https://openalex.org/W1642990561","https://openalex.org/W1830671353","https://openalex.org/W1880805667","https://openalex.org/W1972013173","https://openalex.org/W1991656001","https://openalex.org/W1992187244","https://openalex.org/W1997070622","https://openalex.org/W2028470370","https://openalex.org/W2048375164","https://openalex.org/W2084939760","https://openalex.org/W2084970142","https://openalex.org/W2095233962","https://openalex.org/W2095620344","https://openalex.org/W2101138302","https://openalex.org/W2107700582","https://openalex.org/W2111087336","https://openalex.org/W2115931752","https://openalex.org/W2119974577","https://openalex.org/W2126416928","https://openalex.org/W2144977164","https://openalex.org/W2155739686","https://openalex.org/W2161588670","https://openalex.org/W2171505650","https://openalex.org/W2188149420","https://openalex.org/W2300351358","https://openalex.org/W2327556201","https://openalex.org/W2340722762","https://openalex.org/W2463606772","https://openalex.org/W2516679327","https://openalex.org/W2566394519","https://openalex.org/W2567844143","https://openalex.org/W2617350313","https://openalex.org/W2963722426","https://openalex.org/W4285719527","https://openalex.org/W4298857538","https://openalex.org/W6719432572","https://openalex.org/W7036935536"],"related_works":["https://openalex.org/W2053005959","https://openalex.org/W2299538996","https://openalex.org/W2144143333","https://openalex.org/W2027136373","https://openalex.org/W2276636510","https://openalex.org/W3163145068","https://openalex.org/W2105658174","https://openalex.org/W1990421243","https://openalex.org/W776139355","https://openalex.org/W3007064390"],"abstract_inverted_index":{"We":[0,52],"study":[1],"discrete":[2],"time":[3],"linear":[4,106],"constrained":[5,47],"switching":[6,17,44],"systems":[7,107],"with":[8,57],"additive":[9],"disturbances,":[10],"in":[11,108],"the":[12,16,20,23,27,37,43,63,72,83,103,114],"general":[13],"setting":[14],"where":[15],"acts":[18],"on":[19,70,82],"system":[21],"matrices,":[22],"disturbance":[24],"sets,":[25],"and":[26],"state":[28],"constraint":[29],"sets.":[30],"Our":[31],"primary":[32],"goal":[33],"is":[34,46],"to":[35,113],"extend":[36],"existing":[38],"invariant":[39,99],"set":[40,100],"constructions":[41,101],"when":[42],"signal":[45],"by":[48,55],"a":[49,58],"given":[50],"automation.":[51],"achieve":[53],"it":[54],"working":[56],"relaxation":[59],"of":[60,85,105],"invariance,":[61],"namely":[62],"multi-set":[64],"invariance.":[65],"By":[66],"exploiting":[67],"recent":[68],"results":[69],"computing":[71],"stability":[73],"metrics":[74],"for":[75,88,102],"these":[76],"systems,":[77],"we":[78,95],"establish":[79],"explicit":[80],"bounds":[81],"number":[84],"iterations":[86,111],"required":[87],"each":[89],"construction.":[90],"Last,":[91],"as":[92],"an":[93],"application,":[94],"develop":[96],"new":[97],"maximal":[98],"case":[104],"far":[109],"fewer":[110],"compared":[112],"state-of-the-art.":[115]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":6}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}