{"id":"https://openalex.org/W2071982890","doi":"https://doi.org/10.1145/1189756.1189757","title":"A state event detection algorithm for numerically simulating hybrid systems with model singularities","display_name":"A state event detection algorithm for numerically simulating hybrid systems with model singularities","publication_year":2007,"publication_date":"2007-01-01","ids":{"openalex":"https://openalex.org/W2071982890","doi":"https://doi.org/10.1145/1189756.1189757","mag":"2071982890"},"language":"en","primary_location":{"id":"doi:10.1145/1189756.1189757","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1189756.1189757","pdf_url":null,"source":{"id":"https://openalex.org/S38703467","display_name":"ACM Transactions on Modeling and Computer Simulation","issn_l":"1049-3301","issn":["1049-3301","1558-1195"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Modeling and Computer Simulation","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/A5108516951","display_name":"Joel M. Esposito","orcid":"https://orcid.org/0000-0002-6468-9543"},"institutions":[{"id":"https://openalex.org/I189158971","display_name":"United States Naval Academy","ror":"https://ror.org/00znex860","country_code":"US","type":"education","lineage":["https://openalex.org/I1330347796","https://openalex.org/I189158971","https://openalex.org/I3130687028"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Joel M. Esposito","raw_affiliation_strings":["US Naval Academy, Annapolis, Maryland, MD"],"affiliations":[{"raw_affiliation_string":"US Naval Academy, Annapolis, Maryland, MD","institution_ids":["https://openalex.org/I189158971"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5112769739","display_name":"Vijay Kumar","orcid":null},"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":"Vijay Kumar","raw_affiliation_strings":["University of Pennsylvania, Philadelphia, Pennsylvania, PA","University of Pennsylvania, Philadelphia, Pennsylvania, PA#TAB#"],"affiliations":[{"raw_affiliation_string":"University of Pennsylvania, Philadelphia, Pennsylvania, PA","institution_ids":["https://openalex.org/I79576946"]},{"raw_affiliation_string":"University of Pennsylvania, Philadelphia, Pennsylvania, PA#TAB#","institution_ids":["https://openalex.org/I79576946"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5108516951"],"corresponding_institution_ids":["https://openalex.org/I189158971"],"apc_list":null,"apc_paid":null,"fwci":4.1841,"has_fulltext":false,"cited_by_count":52,"citation_normalized_percentile":{"value":0.93894959,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"17","issue":"1","first_page":"1","last_page":"1"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11195","display_name":"Simulation Techniques and Applications","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T11195","display_name":"Simulation Techniques and Applications","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T13286","display_name":"Modeling and Simulation Systems","score":0.9969000220298767,"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/T12810","display_name":"Real-time simulation and control systems","score":0.9944999814033508,"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/classification-of-discontinuities","display_name":"Classification of discontinuities","score":0.6486334800720215},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6000286340713501},{"id":"https://openalex.org/keywords/gravitational-singularity","display_name":"Gravitational singularity","score":0.5495695471763611},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5193787217140198},{"id":"https://openalex.org/keywords/extrapolation","display_name":"Extrapolation","score":0.5098316073417664},{"id":"https://openalex.org/keywords/state-space","display_name":"State space","score":0.4912397265434265},{"id":"https://openalex.org/keywords/event","display_name":"Event (particle physics)","score":0.47044745087623596},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.4463106393814087},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.43088996410369873},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.4169190526008606},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41045185923576355},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4093245565891266},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12434190511703491}],"concepts":[{"id":"https://openalex.org/C15627037","wikidata":"https://www.wikidata.org/wiki/Q541961","display_name":"Classification of discontinuities","level":2,"score":0.6486334800720215},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6000286340713501},{"id":"https://openalex.org/C12843","wikidata":"https://www.wikidata.org/wiki/Q201721","display_name":"Gravitational singularity","level":2,"score":0.5495695471763611},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5193787217140198},{"id":"https://openalex.org/C132459708","wikidata":"https://www.wikidata.org/wiki/Q744069","display_name":"Extrapolation","level":2,"score":0.5098316073417664},{"id":"https://openalex.org/C72434380","wikidata":"https://www.wikidata.org/wiki/Q230930","display_name":"State space","level":2,"score":0.4912397265434265},{"id":"https://openalex.org/C2779662365","wikidata":"https://www.wikidata.org/wiki/Q5416694","display_name":"Event (particle physics)","level":2,"score":0.47044745087623596},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.4463106393814087},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.43088996410369873},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.4169190526008606},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41045185923576355},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4093245565891266},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12434190511703491},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/1189756.1189757","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1189756.1189757","pdf_url":null,"source":{"id":"https://openalex.org/S38703467","display_name":"ACM Transactions on Modeling and Computer Simulation","issn_l":"1049-3301","issn":["1049-3301","1558-1195"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Modeling and Computer Simulation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W50157033","https://openalex.org/W1501261745","https://openalex.org/W1509363364","https://openalex.org/W1512342490","https://openalex.org/W1515483637","https://openalex.org/W1582711980","https://openalex.org/W1597944220","https://openalex.org/W1606563312","https://openalex.org/W1608721356","https://openalex.org/W1887006513","https://openalex.org/W1970271321","https://openalex.org/W1971233185","https://openalex.org/W2021747285","https://openalex.org/W2031130394","https://openalex.org/W2048325296","https://openalex.org/W2066986518","https://openalex.org/W2126988545","https://openalex.org/W2164787580","https://openalex.org/W2561675875","https://openalex.org/W3160954918","https://openalex.org/W4254914426","https://openalex.org/W4302955541","https://openalex.org/W6639607149"],"related_works":["https://openalex.org/W1968270095","https://openalex.org/W2220129715","https://openalex.org/W4296478327","https://openalex.org/W2042397106","https://openalex.org/W4361730764","https://openalex.org/W1965029248","https://openalex.org/W1960072520","https://openalex.org/W2135947935","https://openalex.org/W3122190261","https://openalex.org/W1979880943"],"abstract_inverted_index":{"This":[0,125],"article":[1],"describes":[2],"an":[3,155],"algorithm":[4,148],"for":[5,117,139,177],"detecting":[6],"the":[7,15,19,54,67,91,97,101,105,115,122,143,171,182,186,207],"occurrence":[8],"of":[9,18,26,69,93,96,104],"events,":[10,180],"which":[11,62],"signify":[12],"discontinuities":[13],"in":[14,35,90,121,189],"first":[16,123],"derivative":[17],"state":[20,55,98],"variables,":[21],"while":[22],"simulating":[23],"a":[24],"set":[25],"nonsmooth":[27,49,119],"differential":[28,106,187],"equations.":[29],"Such":[30,110],"combined-discrete":[31],"continuous":[32],"systems":[33],"arise":[34],"many":[36],"contexts":[37],"and":[38],"are":[39,57,82,113],"often":[40,114],"referred":[41],"to":[42,66,84,133,169,184],"as":[43],"hybrid":[44],"systems,":[45,47],"switched":[46],"or":[48],"systems.":[50],"In":[51],"all":[52,79],"cases,":[53],"events":[56,88,141],"triggered":[58],"at":[59],"simulated":[60],"times":[61],"generate":[63],"states":[64],"corresponding":[65],"zeros":[68],"some":[70],"algebraic":[71],"\u201cevent\u201d":[72],"function.":[73],"It":[74,193],"has":[75],"been":[76],"noted":[77],"that":[78,196],"existing":[80,129],"simulators":[81],"prone":[83],"failure":[85,126],"when":[86],"these":[87],"occur":[89],"neighborhood":[92],"model":[94,111],"singularities---regions":[95],"space":[99],"where":[100],"right-hand":[102],"side":[103],"equation":[107,188],"is":[108,167,194],"undefined.":[109],"singularities":[112],"impetus":[116],"using":[118,154],"models":[120],"place.":[124],"occurs":[127],"because":[128],"algorithms":[130],"blindly":[131],"attempt":[132],"interpolate":[134],"across":[135],"singular":[136,191],"regions,":[137],"checking":[138,176],"possible":[140],"after":[142],"fact.":[144],"The":[145],"event":[146],"detection":[147],"described":[149],"here":[150],"overcomes":[151],"this":[152,197],"limitation":[153],"approach":[156,199],"inspired":[157],"by":[158,175],"feedback":[159],"control":[160],"theory.":[161],"A":[162],"carefully":[163],"constructed":[164],"extrapolation":[165],"polynomial":[166],"used":[168],"select":[170],"integration":[172],"step":[173],"size":[174],"potential":[178],"future":[179],"avoiding":[181],"need":[183],"evaluate":[185],"potentially":[190],"regions.":[192],"shown":[195],"alternate":[198],"gives":[200],"added":[201],"functionality":[202],"with":[203],"little":[204],"impact":[205],"on":[206],"simulation":[208],"efficiency.":[209]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":12}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}