{"id":"https://openalex.org/W3001527556","doi":"https://doi.org/10.1109/tsmc.2020.2964498","title":"Event-Triggered Control for Output Regulation of Probabilistic Logical Systems With Delays","display_name":"Event-Triggered Control for Output Regulation of Probabilistic Logical Systems With Delays","publication_year":2020,"publication_date":"2020-01-24","ids":{"openalex":"https://openalex.org/W3001527556","doi":"https://doi.org/10.1109/tsmc.2020.2964498","mag":"3001527556"},"language":"en","primary_location":{"id":"doi:10.1109/tsmc.2020.2964498","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsmc.2020.2964498","pdf_url":null,"source":{"id":"https://openalex.org/S4210209078","display_name":"IEEE Transactions on Systems Man and Cybernetics Systems","issn_l":"2168-2216","issn":["2168-2216","2168-2232"],"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 Systems, Man, and Cybernetics: Systems","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/A5101717462","display_name":"Jingyi He","orcid":"https://orcid.org/0000-0001-6429-4886"},"institutions":[{"id":"https://openalex.org/I135237710","display_name":"Zhejiang Normal University","ror":"https://ror.org/01vevwk45","country_code":"CN","type":"education","lineage":["https://openalex.org/I135237710"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jingyi He","raw_affiliation_strings":["College of Mathematics and Computer Science, Zhejiang Normal University, Jinhua, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics and Computer Science, Zhejiang Normal University, Jinhua, China","institution_ids":["https://openalex.org/I135237710"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100356160","display_name":"Yang Liu","orcid":"https://orcid.org/0000-0003-3761-0104"},"institutions":[{"id":"https://openalex.org/I135237710","display_name":"Zhejiang Normal University","ror":"https://ror.org/01vevwk45","country_code":"CN","type":"education","lineage":["https://openalex.org/I135237710"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yang Liu","raw_affiliation_strings":["College of Mathematics and Computer Science, Zhejiang Normal University, Jinhua, China"],"raw_orcid":"https://orcid.org/0000-0003-3761-0104","affiliations":[{"raw_affiliation_string":"College of Mathematics and Computer Science, Zhejiang Normal University, Jinhua, China","institution_ids":["https://openalex.org/I135237710"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049482611","display_name":"Jianquan Lu","orcid":"https://orcid.org/0000-0003-4423-6034"},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jianquan Lu","raw_affiliation_strings":["School of Mathematics, Southeast University, Nanjing, China"],"raw_orcid":"https://orcid.org/0000-0003-4423-6034","affiliations":[{"raw_affiliation_string":"School of Mathematics, Southeast University, Nanjing, China","institution_ids":["https://openalex.org/I76569877"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017808266","display_name":"Jinde Cao","orcid":"https://orcid.org/0000-0003-3133-7119"},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jinde Cao","raw_affiliation_strings":["School of Mathematics, Southeast University, Nanjing, China"],"raw_orcid":"https://orcid.org/0000-0003-3133-7119","affiliations":[{"raw_affiliation_string":"School of Mathematics, Southeast University, Nanjing, China","institution_ids":["https://openalex.org/I76569877"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5043134796","display_name":"Leszek Rutkowski","orcid":"https://orcid.org/0000-0001-6960-9525"},"institutions":[{"id":"https://openalex.org/I130294970","display_name":"Cz\u0119stochowa University of Technology","ror":"https://ror.org/046awyn59","country_code":"PL","type":"education","lineage":["https://openalex.org/I130294970"]},{"id":"https://openalex.org/I4210107336","display_name":"Spo\u0142eczna Akademia Nauk","ror":"https://ror.org/01ck3zk14","country_code":"PL","type":"education","lineage":["https://openalex.org/I4210107336"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Leszek Rutkowski","raw_affiliation_strings":["Information Technology Institute, University of Social Sciences, \u0141\u00f3d\u017a, Poland","Institute of Computational Intelligence, Czestochowa University of Technology, Cz\u0119stochowa, Poland"],"raw_orcid":"https://orcid.org/0000-0001-6960-9525","affiliations":[{"raw_affiliation_string":"Information Technology Institute, University of Social Sciences, \u0141\u00f3d\u017a, Poland","institution_ids":["https://openalex.org/I4210107336"]},{"raw_affiliation_string":"Institute of Computational Intelligence, Czestochowa University of Technology, Cz\u0119stochowa, Poland","institution_ids":["https://openalex.org/I130294970"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3255,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.54905951,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"51","issue":"11","first_page":"6842","last_page":"6851"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9973999857902527,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9973999857902527,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9957000017166138,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9811000227928162,"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/notation","display_name":"Notation","score":0.7398321628570557},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.684487521648407},{"id":"https://openalex.org/keywords/event","display_name":"Event (particle physics)","score":0.5920494198799133},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5347914099693298},{"id":"https://openalex.org/keywords/logical-conjunction","display_name":"Logical conjunction","score":0.514502763748169},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.46590667963027954},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4321843981742859},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.41849732398986816},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3809645175933838},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3776150941848755},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.37407052516937256},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.2607145309448242},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.24802923202514648},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.19547617435455322},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.14844214916229248}],"concepts":[{"id":"https://openalex.org/C45357846","wikidata":"https://www.wikidata.org/wiki/Q2001982","display_name":"Notation","level":2,"score":0.7398321628570557},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.684487521648407},{"id":"https://openalex.org/C2779662365","wikidata":"https://www.wikidata.org/wiki/Q5416694","display_name":"Event (particle physics)","level":2,"score":0.5920494198799133},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5347914099693298},{"id":"https://openalex.org/C21847791","wikidata":"https://www.wikidata.org/wiki/Q191081","display_name":"Logical conjunction","level":2,"score":0.514502763748169},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.46590667963027954},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4321843981742859},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.41849732398986816},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3809645175933838},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3776150941848755},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.37407052516937256},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.2607145309448242},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.24802923202514648},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.19547617435455322},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.14844214916229248},{"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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsmc.2020.2964498","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsmc.2020.2964498","pdf_url":null,"source":{"id":"https://openalex.org/S4210209078","display_name":"IEEE Transactions on Systems Man and Cybernetics Systems","issn_l":"2168-2216","issn":["2168-2216","2168-2232"],"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 Systems, Man, and Cybernetics: Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2277998222","display_name":null,"funder_award_id":"BK20170019","funder_id":"https://openalex.org/F4320322769","funder_display_name":"Natural Science Foundation of Jiangsu Province"},{"id":"https://openalex.org/G340836404","display_name":null,"funder_award_id":"D19A010003","funder_id":"https://openalex.org/F4320338464","funder_display_name":"Natural Science Foundation of Zhejiang Province"},{"id":"https://openalex.org/G3735285185","display_name":"\u591a\u590d\u53d8\u4e2d\u5fae\u5206\u65b9\u7a0b\u82e5\u5e72\u95ee\u9898\u7684\u7814\u7a76","funder_award_id":"11671361","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4518172694","display_name":null,"funder_award_id":"2017/27/B/ST6/02852","funder_id":"https://openalex.org/F4320321042","funder_display_name":"Fundacja na rzecz Nauki Polskiej"},{"id":"https://openalex.org/G4585534567","display_name":"\u57fa\u4e8e\u7fa4\u4f53\u667a\u80fd\u7684\u5206\u5e03\u5f0f\u4f18\u5316\u7406\u8bba\u3001\u65b9\u6cd5\u53ca\u5e94\u7528\u7814\u7a76","funder_award_id":"61833005","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G622103538","display_name":null,"funder_award_id":"LR20F030001","funder_id":"https://openalex.org/F4320338464","funder_display_name":"Natural Science Foundation of Zhejiang Province"},{"id":"https://openalex.org/G7397824143","display_name":null,"funder_award_id":"61573102","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8228501484","display_name":null,"funder_award_id":"61573096","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"},{"id":"https://openalex.org/F4320321042","display_name":"Fundacja na rzecz Nauki Polskiej","ror":"https://ror.org/048zd9m77"},{"id":"https://openalex.org/F4320322769","display_name":"Natural Science Foundation of Jiangsu Province","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320338464","display_name":"Natural Science Foundation of Zhejiang Province","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":42,"referenced_works":["https://openalex.org/W1980988355","https://openalex.org/W1985235885","https://openalex.org/W2016726365","https://openalex.org/W2066323391","https://openalex.org/W2067993460","https://openalex.org/W2073458555","https://openalex.org/W2118467699","https://openalex.org/W2143549867","https://openalex.org/W2176034289","https://openalex.org/W2275214877","https://openalex.org/W2435595704","https://openalex.org/W2518061852","https://openalex.org/W2576254933","https://openalex.org/W2693902573","https://openalex.org/W2729031071","https://openalex.org/W2751932897","https://openalex.org/W2756339389","https://openalex.org/W2792996329","https://openalex.org/W2801370262","https://openalex.org/W2804643406","https://openalex.org/W2806437202","https://openalex.org/W2809462211","https://openalex.org/W2810218660","https://openalex.org/W2884241389","https://openalex.org/W2891203478","https://openalex.org/W2896816201","https://openalex.org/W2900569643","https://openalex.org/W2903292179","https://openalex.org/W2918584976","https://openalex.org/W2921198348","https://openalex.org/W2940925414","https://openalex.org/W2946130434","https://openalex.org/W2963390766","https://openalex.org/W2967826606","https://openalex.org/W2975827994","https://openalex.org/W2978923230","https://openalex.org/W2980616093","https://openalex.org/W2998513247","https://openalex.org/W6739848874","https://openalex.org/W6751493097","https://openalex.org/W6772481866","https://openalex.org/W7015466796"],"related_works":["https://openalex.org/W2504004674","https://openalex.org/W1987679298","https://openalex.org/W2963177394","https://openalex.org/W4313359513","https://openalex.org/W2498744856","https://openalex.org/W4390482104","https://openalex.org/W322408318","https://openalex.org/W4379280870","https://openalex.org/W4393178990","https://openalex.org/W2392216692"],"abstract_inverted_index":{"This":[0],"article":[1],"investigates":[2],"the":[3,40,56,61,71,77,102,113,118],"output":[4,78],"regulation":[5,79],"problem":[6,57,80],"of":[7,27,36,44,63,65,81,96,117],"probabilistic":[8,45,82],"<inline-formula":[9,46,83],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[10,47,84],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">":[11,48,85],"<tex-math":[12,49,86],"notation=\"LaTeX\">$k$":[13,50,87],"</tex-math></inline-formula>":[14,51,88],"-valued":[15,52,89],"logical":[16,90],"systems":[17,53,91],"with":[18,54,92],"delays":[19],"by":[20],"an":[21],"intermittent":[22],"control":[23,29,104],"scheme.":[24],"Two":[25,94],"types":[26,95],"event-triggered":[28,103],"are":[30,98,109],"designed":[31],"via":[32],"semi-tensor":[33],"product":[34],"(STP)":[35],"matrices.":[37],"According":[38],"to":[39,100,111],"algebraic":[41,66],"state-space":[42],"representation":[43],"delays,":[55],"is":[58],"transformed":[59],"into":[60],"existence":[62],"solutions":[64],"equations.":[67],"Then":[68],"we":[69],"obtain":[70],"sufficient":[72],"and":[73,115],"necessary":[74],"condition":[75],"for":[76],"delays.":[93],"approaches":[97],"given":[99],"design":[101],"laws.":[105],"Eventually,":[106],"two":[107],"exemplifications":[108],"provided":[110],"explain":[112],"effectiveness":[114],"utility":[116],"acquired":[119],"results.":[120]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":3},{"year":2022,"cited_by_count":3},{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}