{"id":"https://openalex.org/W3111310502","doi":"https://doi.org/10.1177/0142331220972524","title":"Observability analysis of combined finite automata based upon semi-tensor product of matrices approach","display_name":"Observability analysis of combined finite automata based upon semi-tensor product of matrices approach","publication_year":2020,"publication_date":"2020-12-07","ids":{"openalex":"https://openalex.org/W3111310502","doi":"https://doi.org/10.1177/0142331220972524","mag":"3111310502"},"language":"en","primary_location":{"id":"doi:10.1177/0142331220972524","is_oa":false,"landing_page_url":"https://doi.org/10.1177/0142331220972524","pdf_url":null,"source":{"id":"https://openalex.org/S24148485","display_name":"Transactions of the Institute of Measurement and Control","issn_l":"0142-3312","issn":["0142-3312","1477-0369"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320017","host_organization_name":"SAGE Publishing","host_organization_lineage":["https://openalex.org/P4310320017"],"host_organization_lineage_names":["SAGE Publishing"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Transactions of the Institute of Measurement and 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/A5073105796","display_name":"Zengqiang Chen","orcid":null},"institutions":[{"id":"https://openalex.org/I205237279","display_name":"Nankai University","ror":"https://ror.org/01y1kjr75","country_code":"CN","type":"education","lineage":["https://openalex.org/I205237279"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zengqiang Chen","raw_affiliation_strings":["College of Artificial Intelligence, Nankai University, P. R. China"],"affiliations":[{"raw_affiliation_string":"College of Artificial Intelligence, Nankai University, P. R. China","institution_ids":["https://openalex.org/I205237279"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027978199","display_name":"Yingrui Zhou","orcid":"https://orcid.org/0000-0002-5856-6184"},"institutions":[{"id":"https://openalex.org/I205237279","display_name":"Nankai University","ror":"https://ror.org/01y1kjr75","country_code":"CN","type":"education","lineage":["https://openalex.org/I205237279"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yingrui Zhou","raw_affiliation_strings":["College of Artificial Intelligence, Nankai University, P. R. China"],"affiliations":[{"raw_affiliation_string":"College of Artificial Intelligence, Nankai University, P. R. China","institution_ids":["https://openalex.org/I205237279"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100410130","display_name":"Zhipeng Zhang","orcid":null},"institutions":[{"id":"https://openalex.org/I136765683","display_name":"Tianjin University of Technology","ror":"https://ror.org/00zbe0w13","country_code":"CN","type":"education","lineage":["https://openalex.org/I136765683"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhipeng Zhang","raw_affiliation_strings":["School of Computer Science and Engineering, Tianjin University of Technology, P. R. China"],"affiliations":[{"raw_affiliation_string":"School of Computer Science and Engineering, Tianjin University of Technology, P. R. China","institution_ids":["https://openalex.org/I136765683"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5019147450","display_name":"Zhongxin Liu","orcid":"https://orcid.org/0000-0002-3565-4800"},"institutions":[{"id":"https://openalex.org/I205237279","display_name":"Nankai University","ror":"https://ror.org/01y1kjr75","country_code":"CN","type":"education","lineage":["https://openalex.org/I205237279"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhongxin Liu","raw_affiliation_strings":["College of Artificial Intelligence, Nankai University, P. R. China"],"affiliations":[{"raw_affiliation_string":"College of Artificial Intelligence, Nankai University, P. R. China","institution_ids":["https://openalex.org/I205237279"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5073105796"],"corresponding_institution_ids":["https://openalex.org/I205237279"],"apc_list":null,"apc_paid":null,"fwci":1.2993,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.85395172,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":93,"max":99},"biblio":{"volume":"43","issue":"3","first_page":"717","last_page":"727"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9991999864578247,"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":0.9991999864578247,"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":0.9969000220298767,"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/T10743","display_name":"Software Testing and Debugging Techniques","score":0.9915000200271606,"subfield":{"id":"https://openalex.org/subfields/1712","display_name":"Software"},"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":0.8563867807388306},{"id":"https://openalex.org/keywords/tensor-product","display_name":"Tensor product","score":0.5869853496551514},{"id":"https://openalex.org/keywords/automaton","display_name":"Automaton","score":0.5712752342224121},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.514137327671051},{"id":"https://openalex.org/keywords/observable","display_name":"Observable","score":0.45043209195137024},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.44779491424560547},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.44274213910102844},{"id":"https://openalex.org/keywords/matrix-multiplication","display_name":"Matrix multiplication","score":0.4399024248123169},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4383420944213867},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.4211949110031128},{"id":"https://openalex.org/keywords/state-space","display_name":"State space","score":0.42077577114105225},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.41157087683677673},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.38992148637771606},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.37891191244125366},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3183137774467468},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.19568383693695068},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.17837035655975342}],"concepts":[{"id":"https://openalex.org/C36299963","wikidata":"https://www.wikidata.org/wiki/Q1369844","display_name":"Observability","level":2,"score":0.8563867807388306},{"id":"https://openalex.org/C51255310","wikidata":"https://www.wikidata.org/wiki/Q1163016","display_name":"Tensor product","level":2,"score":0.5869853496551514},{"id":"https://openalex.org/C112505250","wikidata":"https://www.wikidata.org/wiki/Q787116","display_name":"Automaton","level":2,"score":0.5712752342224121},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.514137327671051},{"id":"https://openalex.org/C32848918","wikidata":"https://www.wikidata.org/wiki/Q845789","display_name":"Observable","level":2,"score":0.45043209195137024},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.44779491424560547},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.44274213910102844},{"id":"https://openalex.org/C17349429","wikidata":"https://www.wikidata.org/wiki/Q1049914","display_name":"Matrix multiplication","level":3,"score":0.4399024248123169},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4383420944213867},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.4211949110031128},{"id":"https://openalex.org/C72434380","wikidata":"https://www.wikidata.org/wiki/Q230930","display_name":"State space","level":2,"score":0.42077577114105225},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.41157087683677673},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.38992148637771606},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.37891191244125366},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3183137774467468},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.19568383693695068},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.17837035655975342},{"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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1177/0142331220972524","is_oa":false,"landing_page_url":"https://doi.org/10.1177/0142331220972524","pdf_url":null,"source":{"id":"https://openalex.org/S24148485","display_name":"Transactions of the Institute of Measurement and Control","issn_l":"0142-3312","issn":["0142-3312","1477-0369"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320017","host_organization_name":"SAGE Publishing","host_organization_lineage":["https://openalex.org/P4310320017"],"host_organization_lineage_names":["SAGE Publishing"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Transactions of the Institute of Measurement and Control","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6033413095","display_name":null,"funder_award_id":"61973175","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W567151721","https://openalex.org/W1511995155","https://openalex.org/W1535531066","https://openalex.org/W1948672577","https://openalex.org/W1971318969","https://openalex.org/W1987121521","https://openalex.org/W1991720013","https://openalex.org/W2002124892","https://openalex.org/W2039054049","https://openalex.org/W2094700336","https://openalex.org/W2117011945","https://openalex.org/W2136433622","https://openalex.org/W2146363816","https://openalex.org/W2168891449","https://openalex.org/W2170197341","https://openalex.org/W2171225490","https://openalex.org/W2289074996","https://openalex.org/W2344574024","https://openalex.org/W2509841691","https://openalex.org/W2566596569","https://openalex.org/W2761682564","https://openalex.org/W2765411998","https://openalex.org/W2774673689","https://openalex.org/W2887588597","https://openalex.org/W2900569643","https://openalex.org/W2926821366","https://openalex.org/W2964305055","https://openalex.org/W2971667961","https://openalex.org/W2999828622","https://openalex.org/W3012367416","https://openalex.org/W4231397353"],"related_works":["https://openalex.org/W2046459260","https://openalex.org/W2967463586","https://openalex.org/W2765830098","https://openalex.org/W1971989957","https://openalex.org/W2517338020","https://openalex.org/W3157641275","https://openalex.org/W4312300846","https://openalex.org/W4206221578","https://openalex.org/W3029572990","https://openalex.org/W2615757685"],"abstract_inverted_index":{"As":[0],"a":[1,139],"fundamental":[2],"subject,":[3],"the":[4,32,58,62,108,117,130],"state":[5,53,144,148],"estimation":[6],"of":[7,34,37,74,77,87],"deterministic":[8],"finite":[9],"automata":[10],"has":[11,65],"received":[12],"considerable":[13],"attention.":[14],"Especially,":[15],"it":[16],"is":[17,142],"increasingly":[18],"necessary":[19],"to":[20,102,158],"study":[21],"various":[22],"problems":[23],"based":[24,49],"on":[25,50],"more":[26],"complex":[27],"systems.":[28],"In":[29,93],"this":[30],"paper,":[31],"observability":[33,118],"three":[35],"kinds":[36],"combining":[38],"automata,":[39,80],"structured":[40],"in":[41,68,107],"parallel,":[42],"serial":[43],"and":[44,71,90],"feedback":[45],"manners,":[46],"are":[47,150,154],"investigated":[48],"an":[51],"algebraic":[52,132],"space":[54],"approach.":[55,161],"Compared":[56],"with":[57],"formal":[59],"language":[60],"method,":[61],"matrix":[63,110],"approach":[64],"great":[66],"advantages":[67],"problem":[69],"description":[70],"solution.":[72],"Because":[73],"inconsistent":[75],"frameworks":[76],"these":[78],"combined":[79,140],"we":[81,95],"optimize":[82],"structure":[83],"matrices":[84,99],"by":[85,100],"pseudo-commutation":[86],"semi-tensor":[88],"product":[89],"power-reducing":[91],"matrix.":[92],"addition,":[94],"construct":[96],"corresponding":[97],"incidence":[98],"labelling":[101],"avoid":[103],"superfluous":[104],"null":[105],"elements":[106],"logical":[109],"occupying":[111],"storage":[112],"space.":[113],"It":[114],"follows":[115],"that":[116],"analysis":[119],"could":[120],"be":[121],"carried":[122],"out":[123],"under":[124],"two":[125,135,155],"polynomial":[126],"matrices,":[127],"established":[128],"from":[129],"above":[131],"form.":[133],"Meanwhile,":[134],"algorithms,":[136],"judging":[137],"whether":[138],"automaton":[141],"initial":[143],"observable":[145],"or":[146],"current":[147],"observable,":[149],"presented.":[151],"Finally,":[152],"there":[153],"representative":[156],"examples":[157],"actualize":[159],"our":[160]},"counts_by_year":[{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":2}],"updated_date":"2026-03-27T14:29:43.386196","created_date":"2025-10-10T00:00:00"}
