{"id":"https://openalex.org/W2120347230","doi":"https://doi.org/10.1109/cdc.2007.4434720","title":"Approximate timed abstractions of hybrid automata","display_name":"Approximate timed abstractions of hybrid automata","publication_year":2007,"publication_date":"2007-01-01","ids":{"openalex":"https://openalex.org/W2120347230","doi":"https://doi.org/10.1109/cdc.2007.4434720","mag":"2120347230"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2007.4434720","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2007.4434720","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 46th IEEE Conference on Decision and Control","raw_type":"proceedings-article"},"type":"conference-paper","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/A5088713991","display_name":"Alessandro D\u2019Innocenzo","orcid":"https://orcid.org/0000-0002-5239-0894"},"institutions":[{"id":"https://openalex.org/I26415053","display_name":"University of L'Aquila","ror":"https://ror.org/01j9p1r26","country_code":"IT","type":"education","lineage":["https://openalex.org/I26415053"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"A. D'Innocenzo","raw_affiliation_strings":["Department of Electrical Engineering and Computer Science, Center of Excellence DEWS. University of L'Aquila, Italy","L'Aquila Univ., L'Aquila"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Computer Science, Center of Excellence DEWS. University of L'Aquila, Italy","institution_ids":["https://openalex.org/I26415053"]},{"raw_affiliation_string":"L'Aquila Univ., L'Aquila","institution_ids":["https://openalex.org/I26415053"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029921181","display_name":"A. Agung Julius","orcid":"https://orcid.org/0000-0002-0970-3226"},"institutions":[{"id":"https://openalex.org/I79576946","display_name":"University of Pennsylvania","ror":"https://ror.org/00b30xv10","country_code":"US","type":"education","lineage":["https://openalex.org/I79576946"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"A.A. Julius","raw_affiliation_strings":["Department of Electrical and Systems Engineering, University of Pennsylvania, USA","Department of Electrical and Systems Engineering, Univ. of Pennsylvania, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Systems Engineering, University of Pennsylvania, USA","institution_ids":["https://openalex.org/I79576946"]},{"raw_affiliation_string":"Department of Electrical and Systems Engineering, Univ. of Pennsylvania, USA","institution_ids":["https://openalex.org/I79576946"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061994256","display_name":"Maria Domenica Di Benedetto","orcid":"https://orcid.org/0000-0001-5703-7822"},"institutions":[{"id":"https://openalex.org/I26415053","display_name":"University of L'Aquila","ror":"https://ror.org/01j9p1r26","country_code":"IT","type":"education","lineage":["https://openalex.org/I26415053"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"M.D. Di Benedetto","raw_affiliation_strings":["Department of Electrical Engineering and Computer Science, Center of Excellence DEWS. University of L'Aquila, Italy","Department of Electrical Engineering and Computer Science, Center of Excellence DEWS, University of L'Aquila, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Computer Science, Center of Excellence DEWS. University of L'Aquila, Italy","institution_ids":["https://openalex.org/I26415053"]},{"raw_affiliation_string":"Department of Electrical Engineering and Computer Science, Center of Excellence DEWS, University of L'Aquila, Italy","institution_ids":["https://openalex.org/I26415053"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5029243115","display_name":"George J. Pappas","orcid":"https://orcid.org/0000-0001-9081-0637"},"institutions":[{"id":"https://openalex.org/I79576946","display_name":"University of Pennsylvania","ror":"https://ror.org/00b30xv10","country_code":"US","type":"education","lineage":["https://openalex.org/I79576946"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"G.J. Pappas","raw_affiliation_strings":["Department of Electrical and Systems Engineering, University of Pennsylvania, USA","Department of Electrical and Systems Engineering, Univ. of Pennsylvania, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Systems Engineering, University of Pennsylvania, USA","institution_ids":["https://openalex.org/I79576946"]},{"raw_affiliation_string":"Department of Electrical and Systems Engineering, Univ. of Pennsylvania, USA","institution_ids":["https://openalex.org/I79576946"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.9196,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.86217163,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"3927","issue":null,"first_page":"4045","last_page":"4050"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":1.0,"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":1.0,"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":0.9988999962806702,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9976000189781189,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/timed-automaton","display_name":"Timed automaton","score":0.8593732118606567},{"id":"https://openalex.org/keywords/reachability","display_name":"Reachability","score":0.7828809022903442},{"id":"https://openalex.org/keywords/automaton","display_name":"Automaton","score":0.7819175720214844},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7615578770637512},{"id":"https://openalex.org/keywords/hybrid-automaton","display_name":"Hybrid automaton","score":0.7478007078170776},{"id":"https://openalex.org/keywords/b\u00fcchi-automaton","display_name":"B\u00fcchi automaton","score":0.6001906394958496},{"id":"https://openalex.org/keywords/abstraction","display_name":"Abstraction","score":0.5784979462623596},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.5656507015228271},{"id":"https://openalex.org/keywords/continuous-automaton","display_name":"Continuous automaton","score":0.5531439185142517},{"id":"https://openalex.org/keywords/deterministic-automaton","display_name":"Deterministic automaton","score":0.5514897704124451},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5244384407997131},{"id":"https://openalex.org/keywords/two-way-deterministic-finite-automaton","display_name":"Two-way deterministic finite automaton","score":0.4777595102787018},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.47442975640296936},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.4701682925224304},{"id":"https://openalex.org/keywords/finite-state-machine","display_name":"Finite-state machine","score":0.4609471261501312},{"id":"https://openalex.org/keywords/construct","display_name":"Construct (python library)","score":0.45485830307006836},{"id":"https://openalex.org/keywords/formal-verification","display_name":"Formal verification","score":0.4252697825431824},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.4217199683189392},{"id":"https://openalex.org/keywords/probabilistic-automaton","display_name":"Probabilistic automaton","score":0.41496598720550537},{"id":"https://openalex.org/keywords/mobile-automaton","display_name":"Mobile automaton","score":0.31776338815689087},{"id":"https://openalex.org/keywords/nondeterministic-finite-automaton","display_name":"Nondeterministic finite automaton","score":0.3164598345756531},{"id":"https://openalex.org/keywords/automata-theory","display_name":"Automata theory","score":0.2942068576812744},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.17886537313461304}],"concepts":[{"id":"https://openalex.org/C30788636","wikidata":"https://www.wikidata.org/wiki/Q7805517","display_name":"Timed automaton","level":3,"score":0.8593732118606567},{"id":"https://openalex.org/C136643341","wikidata":"https://www.wikidata.org/wiki/Q1361526","display_name":"Reachability","level":2,"score":0.7828809022903442},{"id":"https://openalex.org/C112505250","wikidata":"https://www.wikidata.org/wiki/Q787116","display_name":"Automaton","level":2,"score":0.7819175720214844},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7615578770637512},{"id":"https://openalex.org/C2776028153","wikidata":"https://www.wikidata.org/wiki/Q5953179","display_name":"Hybrid automaton","level":3,"score":0.7478007078170776},{"id":"https://openalex.org/C165753454","wikidata":"https://www.wikidata.org/wiki/Q1020380","display_name":"B\u00fcchi automaton","level":4,"score":0.6001906394958496},{"id":"https://openalex.org/C124304363","wikidata":"https://www.wikidata.org/wiki/Q673661","display_name":"Abstraction","level":2,"score":0.5784979462623596},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.5656507015228271},{"id":"https://openalex.org/C21720249","wikidata":"https://www.wikidata.org/wiki/Q5165460","display_name":"Continuous automaton","level":5,"score":0.5531439185142517},{"id":"https://openalex.org/C194525867","wikidata":"https://www.wikidata.org/wiki/Q5265707","display_name":"Deterministic automaton","level":3,"score":0.5514897704124451},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5244384407997131},{"id":"https://openalex.org/C139423837","wikidata":"https://www.wikidata.org/wiki/Q243800","display_name":"Two-way deterministic finite automaton","level":5,"score":0.4777595102787018},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.47442975640296936},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.4701682925224304},{"id":"https://openalex.org/C167822520","wikidata":"https://www.wikidata.org/wiki/Q176452","display_name":"Finite-state machine","level":2,"score":0.4609471261501312},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.45485830307006836},{"id":"https://openalex.org/C111498074","wikidata":"https://www.wikidata.org/wiki/Q173326","display_name":"Formal verification","level":2,"score":0.4252697825431824},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.4217199683189392},{"id":"https://openalex.org/C174784677","wikidata":"https://www.wikidata.org/wiki/Q176567","display_name":"Probabilistic automaton","level":3,"score":0.41496598720550537},{"id":"https://openalex.org/C50348692","wikidata":"https://www.wikidata.org/wiki/Q6887056","display_name":"Mobile automaton","level":4,"score":0.31776338815689087},{"id":"https://openalex.org/C158008952","wikidata":"https://www.wikidata.org/wiki/Q617295","display_name":"Nondeterministic finite automaton","level":4,"score":0.3164598345756531},{"id":"https://openalex.org/C116248031","wikidata":"https://www.wikidata.org/wiki/Q214526","display_name":"Automata theory","level":3,"score":0.2942068576812744},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.17886537313461304},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/cdc.2007.4434720","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2007.4434720","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 46th IEEE Conference on Decision and Control","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.158.1030","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.158.1030","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.seas.upenn.edu/~pappasg/papers/CDC07-Timed.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W1508536183","https://openalex.org/W1564684456","https://openalex.org/W1565007974","https://openalex.org/W1569692898","https://openalex.org/W1586805319","https://openalex.org/W1605318409","https://openalex.org/W1606048020","https://openalex.org/W1709870800","https://openalex.org/W1981808971","https://openalex.org/W2000947342","https://openalex.org/W2006118386","https://openalex.org/W2011979623","https://openalex.org/W2023499821","https://openalex.org/W2060095702","https://openalex.org/W2074027094","https://openalex.org/W2090771707","https://openalex.org/W2101508170","https://openalex.org/W2108093537","https://openalex.org/W2117218135","https://openalex.org/W2120347230","https://openalex.org/W2124611339","https://openalex.org/W2124778357","https://openalex.org/W2161202152","https://openalex.org/W2165489953","https://openalex.org/W2340735175","https://openalex.org/W2504058988","https://openalex.org/W2913459036"],"related_works":["https://openalex.org/W2026879508","https://openalex.org/W2155870982","https://openalex.org/W2042728676","https://openalex.org/W2798982974","https://openalex.org/W1645283535","https://openalex.org/W15413121","https://openalex.org/W2120347230","https://openalex.org/W2127219675","https://openalex.org/W97133087","https://openalex.org/W2547394020"],"abstract_inverted_index":{"Given":[0],"a":[1,5,18,57,64,100,105,115],"hybrid":[2,65,116],"automaton":[3,59,66,107,117],"and":[4,75,84,121],"desired":[6,36,119],"precision,":[7,120],"we":[8,73],"aim":[9],"at":[10],"constructing":[11],"an":[12,110,127],"approximate":[13,25,111],"abstraction":[14,113],"by":[15],"means":[16],"of":[17,30,91,114,130],"timed":[19,58,106,112],"automaton,":[20],"whose":[21],"discrete":[22,27],"state":[23,28],"trajectories":[24,29],"the":[26,31,35,45,89],"original":[32],"system,":[33],"with":[34,67,118],"precision":[37,90],"on":[38,48,79],"switching":[39],"times.":[40],"We":[41],"show":[42],"that":[43,60,108],"using":[44],"Euclidian":[46],"metric":[47],"reals":[49],"it":[50],"is":[51,61,97,109],"not":[52],"always":[53],"possible":[54],"to":[55,63,87,98,103,134],"construct":[56,104],"close":[62],"finite":[68],"precision.":[69],"For":[70,126],"this":[71,131],"reason,":[72],"motivate":[74],"introduce":[76],"relative":[77],"metrics":[78],"reachability":[80],"time,":[81],"external":[82],"language":[83],"simulation":[85],"relation":[86],"quantify":[88],"our":[92],"abstraction.":[93],"Our":[94],"main":[95],"result":[96],"propose":[99],"novel":[101],"algorithm":[102],"study":[122],"its":[123],"convergence":[124],"properties.":[125],"extended":[128],"version":[129],"paper":[132],"refer":[133],"[D'Innocenzo":[135],"et":[136],"al.,":[137],"2007].":[138]},"counts_by_year":[{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}