{"id":"https://openalex.org/W2952252106","doi":"https://doi.org/10.1109/cdc.2012.6426654","title":"Finite bisimulations for switched linear systems","display_name":"Finite bisimulations for switched linear systems","publication_year":2012,"publication_date":"2012-12-01","ids":{"openalex":"https://openalex.org/W2952252106","doi":"https://doi.org/10.1109/cdc.2012.6426654","mag":"2952252106"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2012.6426654","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2012.6426654","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 IEEE 51st IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1208.5471","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5029149821","display_name":"Ebru Ayd\u0131n G\u00f6l","orcid":"https://orcid.org/0000-0002-5813-9836"},"institutions":[{"id":"https://openalex.org/I111088046","display_name":"Boston University","ror":"https://ror.org/05qwgg493","country_code":"US","type":"education","lineage":["https://openalex.org/I111088046"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Ebru Aydin Gol","raw_affiliation_strings":["Boston University, USA","Boston University , USA"],"affiliations":[{"raw_affiliation_string":"Boston University, USA","institution_ids":["https://openalex.org/I111088046"]},{"raw_affiliation_string":"Boston University , USA","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111565635","display_name":"Xuchu Ding","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Xuchu Ding","raw_affiliation_strings":["United Technologies Research Center, USA"],"affiliations":[{"raw_affiliation_string":"United Technologies Research Center, USA","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045512282","display_name":"Mircea Lazar","orcid":"https://orcid.org/0000-0003-4338-9004"},"institutions":[{"id":"https://openalex.org/I83019370","display_name":"Eindhoven University of Technology","ror":"https://ror.org/02c2kyt77","country_code":"NL","type":"education","lineage":["https://openalex.org/I83019370"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Mircea Lazar","raw_affiliation_strings":["Eindhoven University of Technology, Netherlands","Eindhoven Univ. of Technology (USA)"],"affiliations":[{"raw_affiliation_string":"Eindhoven University of Technology, Netherlands","institution_ids":["https://openalex.org/I83019370"]},{"raw_affiliation_string":"Eindhoven Univ. of Technology (USA)","institution_ids":["https://openalex.org/I83019370"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5086742095","display_name":"C\u0103lin Belta","orcid":"https://orcid.org/0000-0002-7141-2657"},"institutions":[{"id":"https://openalex.org/I111088046","display_name":"Boston University","ror":"https://ror.org/05qwgg493","country_code":"US","type":"education","lineage":["https://openalex.org/I111088046"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Calin Belta","raw_affiliation_strings":["Boston University, USA","Boston University , USA"],"affiliations":[{"raw_affiliation_string":"Boston University, USA","institution_ids":["https://openalex.org/I111088046"]},{"raw_affiliation_string":"Boston University , USA","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5029149821"],"corresponding_institution_ids":["https://openalex.org/I111088046"],"apc_list":null,"apc_paid":null,"fwci":0.6699375,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.74962989,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"7632","last_page":"7637"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9998999834060669,"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"}},{"id":"https://openalex.org/T11125","display_name":"Petri Nets in System Modeling","score":0.9955999851226807,"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"}},{"id":"https://openalex.org/T10933","display_name":"Real-Time Systems Scheduling","score":0.9736999869346619,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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/bisimulation","display_name":"Bisimulation","score":0.9402685165405273},{"id":"https://openalex.org/keywords/quotient","display_name":"Quotient","score":0.8404632806777954},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6459083557128906},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6437370777130127},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.5520249009132385},{"id":"https://openalex.org/keywords/finite-set","display_name":"Finite set","score":0.5261751413345337},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5082609057426453},{"id":"https://openalex.org/keywords/state-space","display_name":"State space","score":0.48038703203201294},{"id":"https://openalex.org/keywords/quotient-space","display_name":"Quotient space (topology)","score":0.4357348084449768},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4355209767818451},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.42518097162246704},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4177246689796448},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.41023704409599304},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.31010687351226807},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.27739328145980835},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2636658549308777},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.1663118600845337},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07957637310028076}],"concepts":[{"id":"https://openalex.org/C135315306","wikidata":"https://www.wikidata.org/wiki/Q866364","display_name":"Bisimulation","level":2,"score":0.9402685165405273},{"id":"https://openalex.org/C199422724","wikidata":"https://www.wikidata.org/wiki/Q41118","display_name":"Quotient","level":2,"score":0.8404632806777954},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6459083557128906},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6437370777130127},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.5520249009132385},{"id":"https://openalex.org/C162392398","wikidata":"https://www.wikidata.org/wiki/Q272404","display_name":"Finite set","level":2,"score":0.5261751413345337},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5082609057426453},{"id":"https://openalex.org/C72434380","wikidata":"https://www.wikidata.org/wiki/Q230930","display_name":"State space","level":2,"score":0.48038703203201294},{"id":"https://openalex.org/C40753290","wikidata":"https://www.wikidata.org/wiki/Q1139111","display_name":"Quotient space (topology)","level":3,"score":0.4357348084449768},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4355209767818451},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.42518097162246704},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4177246689796448},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.41023704409599304},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.31010687351226807},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.27739328145980835},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2636658549308777},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.1663118600845337},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07957637310028076},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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":7,"locations":[{"id":"doi:10.1109/cdc.2012.6426654","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2012.6426654","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 IEEE 51st IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},{"id":"pmh:oai:pure.tue.nl:openaire_cris_publications/1c8c6fbc-1e5b-423a-9819-5e2af5dbf2ce","is_oa":false,"landing_page_url":"https://research.tue.nl/en/publications/1c8c6fbc-1e5b-423a-9819-5e2af5dbf2ce","pdf_url":null,"source":{"id":"https://openalex.org/S4406922641","display_name":"TU/e Research Portal","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":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Gol, E A, Ding, X, Lazar, M & Belta, C 2013, Finite bisimulations for switched linear systems. in 2012 IEEE 51st IEEE Conference on Decision and Control (CDC)., 6426654, Institute of Electrical and Electronics Engineers, pp. 7632-7637, 51st IEEE Conference on Decision and Control, CDC 2012, Maui, Hawaii, United States, 10/12/12. https://doi.org/10.1109/CDC.2012.6426654","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:arXiv.org:1208.5471","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1208.5471","pdf_url":"https://arxiv.org/pdf/1208.5471","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.756.2263","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.756.2263","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1208.5471.pdf","raw_type":"text"},{"id":"pmh:tue:oai:pure.tue.nl:publications/1c8c6fbc-1e5b-423a-9819-5e2af5dbf2ce","is_oa":false,"landing_page_url":"https://research.tue.nl/nl/publications/1c8c6fbc-1e5b-423a-9819-5e2af5dbf2ce","pdf_url":null,"source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"2012 IEEE 51st IEEE Conference on Decision and Control (CDC), 7632 - 7637","raw_type":"info:eu-repo/semantics/conferencepaper"},{"id":"doi:10.48550/arxiv.1208.5471","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1208.5471","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"},{"id":"mag:2952252106","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":null}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1208.5471","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1208.5471","pdf_url":"https://arxiv.org/pdf/1208.5471","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.7799999713897705}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1503973138","https://openalex.org/W1511213320","https://openalex.org/W1539838732","https://openalex.org/W1540883472","https://openalex.org/W1990183105","https://openalex.org/W2044323243","https://openalex.org/W2056864430","https://openalex.org/W2072215604","https://openalex.org/W2101508170","https://openalex.org/W2103511860","https://openalex.org/W2103625164","https://openalex.org/W2105826449","https://openalex.org/W2130290065","https://openalex.org/W2131463591","https://openalex.org/W2143095681","https://openalex.org/W2162053828","https://openalex.org/W2165748475","https://openalex.org/W2166802518","https://openalex.org/W2913459036","https://openalex.org/W2949851913","https://openalex.org/W4299599836","https://openalex.org/W6663840263"],"related_works":["https://openalex.org/W2949851913","https://openalex.org/W2292321818","https://openalex.org/W3201886610","https://openalex.org/W2040792183","https://openalex.org/W1555534061","https://openalex.org/W2198746441","https://openalex.org/W2137777756","https://openalex.org/W1270629017","https://openalex.org/W2964854675","https://openalex.org/W2028389950","https://openalex.org/W59329678","https://openalex.org/W1586460111","https://openalex.org/W2188792780","https://openalex.org/W2101818103","https://openalex.org/W3194138609","https://openalex.org/W158880345","https://openalex.org/W2104175826","https://openalex.org/W2913192371","https://openalex.org/W1522245929","https://openalex.org/W2949326854"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"consider":[4],"the":[5,36,47,51,61,78,83,88,107,126],"problem":[6],"of":[7,23,30,35,58,63,66,106],"constructing":[8],"a":[9,14,20,28,40,55,67,73],"finite":[10,56],"bisimulation":[11,52,89,97],"quotient":[12,53,90,98],"for":[13,91,104],"discrete-time":[15],"switched":[16,41],"linear":[17,42],"system":[18,43,111],"in":[19,54,80],"bounded":[21],"subset":[22],"its":[24,81],"state":[25,37],"space.":[26],"Given":[27],"set":[29,75],"observations":[31],"over":[32,125],"polytopic":[33,128],"subsets":[34],"space":[38],"and":[39,110],"with":[44,60,113],"stable":[45],"subsystems,":[46],"proposed":[48,84],"algorithm":[49,85],"generates":[50],"number":[57],"steps":[59],"aid":[62],"sublevel":[64,74,94],"sets":[65],"polyhedral":[68],"Lyapunov":[69],"function.":[70],"Starting":[71],"from":[72],"that":[76],"includes":[77],"origin":[79],"interior,":[82],"iteratively":[86],"constructs":[87],"any":[92],"larger":[93],"set.":[95],"The":[96],"can":[99],"then":[100],"be":[101],"further":[102],"used":[103],"synthesis":[105],"switching":[108],"law":[109],"verification":[112],"respect":[114],"to":[115],"specifications":[116],"given":[117],"as":[118],"syntactically":[119],"co-safe":[120],"Linear":[121],"Temporal":[122],"Logic":[123],"formulas":[124],"observed":[127],"subsets.":[129]},"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-02-09T09:26:11.010843","created_date":"2025-10-10T00:00:00"}