{"id":"https://openalex.org/W2148659099","doi":"https://doi.org/10.1109/tac.2010.2044258","title":"Realization Theory for Linear Hybrid Systems","display_name":"Realization Theory for Linear Hybrid Systems","publication_year":2010,"publication_date":"2010-03-02","ids":{"openalex":"https://openalex.org/W2148659099","doi":"https://doi.org/10.1109/tac.2010.2044258","mag":"2148659099"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2010.2044258","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2010.2044258","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"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 Transactions on Automatic Control","raw_type":"journal-article"},"type":"article","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/A5090098518","display_name":"Mih\u00e1ly Petreczky","orcid":"https://orcid.org/0000-0003-2264-5689"},"institutions":[{"id":"https://openalex.org/I34352273","display_name":"Maastricht University","ror":"https://ror.org/02jz4aj89","country_code":"NL","type":"education","lineage":["https://openalex.org/I34352273"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"Mih\u00e1ly Petreczky","raw_affiliation_strings":["University of Maastricht, Maastricht, Netherlands"],"affiliations":[{"raw_affiliation_string":"University of Maastricht, Maastricht, Netherlands","institution_ids":["https://openalex.org/I34352273"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5001849550","display_name":"Jan H. van Schuppen","orcid":"https://orcid.org/0000-0001-7150-7915"},"institutions":[{"id":"https://openalex.org/I1341640284","display_name":"Centrum Wiskunde & Informatica","ror":"https://ror.org/00x7ekv49","country_code":"NL","type":"facility","lineage":["https://openalex.org/I1341640284","https://openalex.org/I2800991832"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Jan H. van Schuppen","raw_affiliation_strings":["Centrum voor Wiskunde en Informatica, Amsterdam, Netherlands"],"affiliations":[{"raw_affiliation_string":"Centrum voor Wiskunde en Informatica, Amsterdam, Netherlands","institution_ids":["https://openalex.org/I1341640284"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5090098518"],"corresponding_institution_ids":["https://openalex.org/I34352273"],"apc_list":null,"apc_paid":null,"fwci":4.3356,"has_fulltext":false,"cited_by_count":36,"citation_normalized_percentile":{"value":0.94408571,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"55","issue":"10","first_page":"2282","last_page":"2297"},"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":0.9987999796867371,"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":0.9976999759674072,"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/observability","display_name":"Observability","score":0.9314934015274048},{"id":"https://openalex.org/keywords/reachability","display_name":"Reachability","score":0.9057466983795166},{"id":"https://openalex.org/keywords/realization","display_name":"Realization (probability)","score":0.8762518763542175},{"id":"https://openalex.org/keywords/minimal-realization","display_name":"Minimal realization","score":0.6945977210998535},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.64983731508255},{"id":"https://openalex.org/keywords/hybrid-system","display_name":"Hybrid system","score":0.646762490272522},{"id":"https://openalex.org/keywords/hybrid-automaton","display_name":"Hybrid automaton","score":0.6213571429252625},{"id":"https://openalex.org/keywords/automaton","display_name":"Automaton","score":0.6084627509117126},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5746896266937256},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.5057497024536133},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5014796257019043},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.4348737597465515},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2979882061481476},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.26409584283828735},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.23846030235290527},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.20136809349060059},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.19844600558280945},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12882816791534424},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.0736076831817627}],"concepts":[{"id":"https://openalex.org/C36299963","wikidata":"https://www.wikidata.org/wiki/Q1369844","display_name":"Observability","level":2,"score":0.9314934015274048},{"id":"https://openalex.org/C136643341","wikidata":"https://www.wikidata.org/wiki/Q1361526","display_name":"Reachability","level":2,"score":0.9057466983795166},{"id":"https://openalex.org/C2781089630","wikidata":"https://www.wikidata.org/wiki/Q21856745","display_name":"Realization (probability)","level":2,"score":0.8762518763542175},{"id":"https://openalex.org/C205609532","wikidata":"https://www.wikidata.org/wiki/Q770324","display_name":"Minimal realization","level":3,"score":0.6945977210998535},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.64983731508255},{"id":"https://openalex.org/C50897621","wikidata":"https://www.wikidata.org/wiki/Q2665508","display_name":"Hybrid system","level":2,"score":0.646762490272522},{"id":"https://openalex.org/C2776028153","wikidata":"https://www.wikidata.org/wiki/Q5953179","display_name":"Hybrid automaton","level":3,"score":0.6213571429252625},{"id":"https://openalex.org/C112505250","wikidata":"https://www.wikidata.org/wiki/Q787116","display_name":"Automaton","level":2,"score":0.6084627509117126},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5746896266937256},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.5057497024536133},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5014796257019043},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.4348737597465515},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2979882061481476},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.26409584283828735},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.23846030235290527},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.20136809349060059},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.19844600558280945},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12882816791534424},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0736076831817627},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tac.2010.2044258","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2010.2044258","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"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 Transactions on Automatic Control","raw_type":"journal-article"},{"id":"pmh:oai:cris.maastrichtuniversity.nl:openaire_cris_publications/6f75cf2f-058f-4db3-8997-5e9ae5681da9","is_oa":false,"landing_page_url":"https://cris.maastrichtuniversity.nl/en/publications/6f75cf2f-058f-4db3-8997-5e9ae5681da9","pdf_url":null,"source":{"id":"https://openalex.org/S4306402616","display_name":"Research Publications (Maastricht University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I34352273","host_organization_name":"Maastricht University","host_organization_lineage":["https://openalex.org/I34352273"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Petreczky, M & Schuppen, J H V 2010, 'Realization Theory for Linear Hybrid Systems', IEEE Trans. Automat. Contr., vol. 55, no. 10, pp. 2282-2297. https://doi.org/10.1109/TAC.2010.2044258","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321016","display_name":"Universiteit Maastricht","ror":"https://ror.org/02jz4aj89"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":54,"referenced_works":["https://openalex.org/W4193965","https://openalex.org/W182219424","https://openalex.org/W587095264","https://openalex.org/W658474564","https://openalex.org/W1488696470","https://openalex.org/W1506437980","https://openalex.org/W1530240157","https://openalex.org/W1530669551","https://openalex.org/W1539718883","https://openalex.org/W1547053573","https://openalex.org/W1550306788","https://openalex.org/W1552094772","https://openalex.org/W1561822031","https://openalex.org/W1574254865","https://openalex.org/W1578317256","https://openalex.org/W1580889230","https://openalex.org/W1594130515","https://openalex.org/W1607161872","https://openalex.org/W1887006513","https://openalex.org/W1970316131","https://openalex.org/W1993914061","https://openalex.org/W1994475353","https://openalex.org/W2004463571","https://openalex.org/W2007093507","https://openalex.org/W2013624597","https://openalex.org/W2066011743","https://openalex.org/W2073016547","https://openalex.org/W2074945926","https://openalex.org/W2093964259","https://openalex.org/W2099415788","https://openalex.org/W2107886288","https://openalex.org/W2108093537","https://openalex.org/W2109924410","https://openalex.org/W2115907449","https://openalex.org/W2143220905","https://openalex.org/W2153495320","https://openalex.org/W2166691751","https://openalex.org/W2167954650","https://openalex.org/W2169862119","https://openalex.org/W2324351088","https://openalex.org/W2476491145","https://openalex.org/W2492575127","https://openalex.org/W2586374872","https://openalex.org/W2738635245","https://openalex.org/W2755764480","https://openalex.org/W2964125265","https://openalex.org/W4210442740","https://openalex.org/W4210678036","https://openalex.org/W4213416190","https://openalex.org/W4229970283","https://openalex.org/W4244107505","https://openalex.org/W4285719527","https://openalex.org/W6607381716","https://openalex.org/W6634767414"],"related_works":["https://openalex.org/W2791750487","https://openalex.org/W1606997444","https://openalex.org/W2138317614","https://openalex.org/W1884874476","https://openalex.org/W2153544183","https://openalex.org/W2364951889","https://openalex.org/W2357387646","https://openalex.org/W2103488150","https://openalex.org/W2580589857","https://openalex.org/W2102105946"],"abstract_inverted_index":{"The":[0],"paper":[1],"develops":[2],"realization":[3],"theory":[4],"for":[5,42],"linear":[6,22],"hybrid":[7,10],"systems,":[8],"i.e.,":[9],"systems":[11,24,62],"in":[12],"continuous-time":[13],"without":[14],"guards":[15],"whose":[16,26],"continuous":[17],"dynamics":[18,28],"is":[19,29,53],"determined":[20,30],"by":[21,31,73],"control":[23],"and":[25,39,57,59,68],"discrete":[27],"a":[32,46],"finite-state":[33],"automaton.":[34],"We":[35,48],"will":[36,49],"formulate":[37],"necessary":[38],"sufficient":[40],"conditions":[41],"the":[43],"existence":[44],"of":[45],"realization.":[47],"show":[50],"that":[51,60],"minimality":[52],"equivalent":[54],"to":[55],"observability":[56,67],"span-reachability,":[58],"minimal":[61],"are":[63],"isomorphic.":[64],"In":[65],"turn,":[66],"span-reachability":[69],"can":[70],"be":[71],"characterized":[72],"rank":[74],"conditions.":[75]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":4},{"year":2014,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
