{"id":"https://openalex.org/W2019698381","doi":"https://doi.org/10.1109/cca.2010.5611334","title":"On A nonstandard model of hybrid automaton","display_name":"On A nonstandard model of hybrid automaton","publication_year":2010,"publication_date":"2010-09-01","ids":{"openalex":"https://openalex.org/W2019698381","doi":"https://doi.org/10.1109/cca.2010.5611334","mag":"2019698381"},"language":"en","primary_location":{"id":"doi:10.1109/cca.2010.5611334","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cca.2010.5611334","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 IEEE International Conference on Control Applications","raw_type":"proceedings-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/A5090295980","display_name":"Katsunori Nakamura","orcid":null},"institutions":[{"id":"https://openalex.org/I314935261","display_name":"St. Agnes University","ror":"https://ror.org/045z05062","country_code":"JP","type":"education","lineage":["https://openalex.org/I314935261"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Katsunori Nakamura","raw_affiliation_strings":["Heian Jogakuin St. Agnes University, Takatsuki, Osaka, Japan","Heian Jogakuin (St.Agnes') University, 5-81-1 Nanpeidai, Takatsuki City, Osaka pref., Japan"],"affiliations":[{"raw_affiliation_string":"Heian Jogakuin St. Agnes University, Takatsuki, Osaka, Japan","institution_ids":["https://openalex.org/I314935261"]},{"raw_affiliation_string":"Heian Jogakuin (St.Agnes') University, 5-81-1 Nanpeidai, Takatsuki City, Osaka pref., Japan","institution_ids":["https://openalex.org/I314935261"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5086412773","display_name":"Akira Fusaoka","orcid":null},"institutions":[{"id":"https://openalex.org/I135768898","display_name":"Ritsumeikan University","ror":"https://ror.org/0197nmd03","country_code":"JP","type":"education","lineage":["https://openalex.org/I135768898","https://openalex.org/I4390039241"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Akira Fusaoka","raw_affiliation_strings":["Ritsumeikan University, Kusatsu, Shiga, Japan","Ritsumeikan University, 1-1-1 Nojihigashi, Kusatsu City, Shiga Pref., Japan"],"affiliations":[{"raw_affiliation_string":"Ritsumeikan University, Kusatsu, Shiga, Japan","institution_ids":["https://openalex.org/I135768898"]},{"raw_affiliation_string":"Ritsumeikan University, 1-1-1 Nojihigashi, Kusatsu City, Shiga Pref., Japan","institution_ids":["https://openalex.org/I135768898"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5090295980"],"corresponding_institution_ids":["https://openalex.org/I314935261"],"apc_list":null,"apc_paid":null,"fwci":0.4032,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.54889191,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"2368","last_page":"2373"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13400","display_name":"Mathematical and Theoretical Analysis","score":0.996399998664856,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T13400","display_name":"Mathematical and Theoretical Analysis","score":0.996399998664856,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9919999837875366,"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/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9909999966621399,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/limit-cycle","display_name":"Limit cycle","score":0.7498056888580322},{"id":"https://openalex.org/keywords/automaton","display_name":"Automaton","score":0.7235273718833923},{"id":"https://openalex.org/keywords/zenos-paradoxes","display_name":"Zeno's paradoxes","score":0.718806266784668},{"id":"https://openalex.org/keywords/hybrid-automaton","display_name":"Hybrid automaton","score":0.6920327544212341},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.632213830947876},{"id":"https://openalex.org/keywords/timed-automaton","display_name":"Timed automaton","score":0.6155052185058594},{"id":"https://openalex.org/keywords/continuous-automaton","display_name":"Continuous automaton","score":0.6021050214767456},{"id":"https://openalex.org/keywords/b\u00fcchi-automaton","display_name":"B\u00fcchi automaton","score":0.5351771712303162},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5287646055221558},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5139405131340027},{"id":"https://openalex.org/keywords/deterministic-automaton","display_name":"Deterministic automaton","score":0.4769764840602875},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.44469618797302246},{"id":"https://openalex.org/keywords/two-way-deterministic-finite-automaton","display_name":"Two-way deterministic finite automaton","score":0.4399656355381012},{"id":"https://openalex.org/keywords/hybrid-system","display_name":"Hybrid system","score":0.43098652362823486},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4076051115989685},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.32960981130599976},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.28164947032928467},{"id":"https://openalex.org/keywords/automata-theory","display_name":"Automata theory","score":0.2103593647480011},{"id":"https://openalex.org/keywords/mobile-automaton","display_name":"Mobile automaton","score":0.16649216413497925},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12225085496902466},{"id":"https://openalex.org/keywords/nondeterministic-finite-automaton","display_name":"Nondeterministic finite automaton","score":0.12104547023773193},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07343176007270813},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.05783930420875549}],"concepts":[{"id":"https://openalex.org/C93357160","wikidata":"https://www.wikidata.org/wiki/Q1545916","display_name":"Limit cycle","level":3,"score":0.7498056888580322},{"id":"https://openalex.org/C112505250","wikidata":"https://www.wikidata.org/wiki/Q787116","display_name":"Automaton","level":2,"score":0.7235273718833923},{"id":"https://openalex.org/C7707877","wikidata":"https://www.wikidata.org/wiki/Q33378","display_name":"Zeno's paradoxes","level":2,"score":0.718806266784668},{"id":"https://openalex.org/C2776028153","wikidata":"https://www.wikidata.org/wiki/Q5953179","display_name":"Hybrid automaton","level":3,"score":0.6920327544212341},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.632213830947876},{"id":"https://openalex.org/C30788636","wikidata":"https://www.wikidata.org/wiki/Q7805517","display_name":"Timed automaton","level":3,"score":0.6155052185058594},{"id":"https://openalex.org/C21720249","wikidata":"https://www.wikidata.org/wiki/Q5165460","display_name":"Continuous automaton","level":5,"score":0.6021050214767456},{"id":"https://openalex.org/C165753454","wikidata":"https://www.wikidata.org/wiki/Q1020380","display_name":"B\u00fcchi automaton","level":4,"score":0.5351771712303162},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5287646055221558},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5139405131340027},{"id":"https://openalex.org/C194525867","wikidata":"https://www.wikidata.org/wiki/Q5265707","display_name":"Deterministic automaton","level":3,"score":0.4769764840602875},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.44469618797302246},{"id":"https://openalex.org/C139423837","wikidata":"https://www.wikidata.org/wiki/Q243800","display_name":"Two-way deterministic finite automaton","level":5,"score":0.4399656355381012},{"id":"https://openalex.org/C50897621","wikidata":"https://www.wikidata.org/wiki/Q2665508","display_name":"Hybrid system","level":2,"score":0.43098652362823486},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4076051115989685},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32960981130599976},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.28164947032928467},{"id":"https://openalex.org/C116248031","wikidata":"https://www.wikidata.org/wiki/Q214526","display_name":"Automata theory","level":3,"score":0.2103593647480011},{"id":"https://openalex.org/C50348692","wikidata":"https://www.wikidata.org/wiki/Q6887056","display_name":"Mobile automaton","level":4,"score":0.16649216413497925},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12225085496902466},{"id":"https://openalex.org/C158008952","wikidata":"https://www.wikidata.org/wiki/Q617295","display_name":"Nondeterministic finite automaton","level":4,"score":0.12104547023773193},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07343176007270813},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.05783930420875549},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cca.2010.5611334","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cca.2010.5611334","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 IEEE International Conference on Control Applications","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W150313508","https://openalex.org/W1509298360","https://openalex.org/W1524267824","https://openalex.org/W1526009507","https://openalex.org/W1561445488","https://openalex.org/W1974986573","https://openalex.org/W2068864491","https://openalex.org/W2101956251","https://openalex.org/W2120666720","https://openalex.org/W2129231075","https://openalex.org/W2134213155","https://openalex.org/W2139612214","https://openalex.org/W2317007797","https://openalex.org/W3189981105","https://openalex.org/W6679944771"],"related_works":["https://openalex.org/W2155870982","https://openalex.org/W2522171317","https://openalex.org/W2042728676","https://openalex.org/W186350370","https://openalex.org/W1645283535","https://openalex.org/W1533908838","https://openalex.org/W2120347230","https://openalex.org/W2109003011","https://openalex.org/W2145225595","https://openalex.org/W1643219878"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,50,67],"introduce":[4],"an":[5,80],"enlargement":[6],"of":[7,23,28,37,63,72,82],"a":[8,14,52,58],"standard":[9],"hybrid":[10,16,73],"automaton":[11,17],"(HA)":[12],"called":[13,41],"nonstandard":[15],"(NHA)":[18],"which":[19],"is":[20],"another":[21],"model":[22],"HA":[24],"in":[25,61],"the":[26,42,69],"domain":[27],"*\u211d":[29],"rather":[30],"than":[31],"\u211d.":[32],"We":[33],"define":[34],"two":[35],"kinds":[36],"almost":[38],"periodic":[39],"trajectories":[40],"z-*cycle":[43],"and":[44,49,57,78],"p-*":[45],"cycle":[46,60],"on":[47],"NHA,":[48],"discuss":[51],"slightly":[53],"extended":[54],"Zeno":[55],"(*Zeno)":[56],"limit":[59],"terms":[62],"these":[64],"cycles.":[65],"Moreover,":[66],"classify":[68],"\u03c9-limit":[70],"set":[71],"dynamics":[74],"into":[75],"4":[76],"types":[77],"present":[79],"example":[81],"NHA":[83],"for":[84],"each":[85],"type.":[86]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
