{"id":"https://openalex.org/W4404914637","doi":"https://doi.org/10.1109/tcns.2024.3510578","title":"Output Regulation of Boolean Control Networks Under Probabilistic Outputs","display_name":"Output Regulation of Boolean Control Networks Under Probabilistic Outputs","publication_year":2024,"publication_date":"2024-12-02","ids":{"openalex":"https://openalex.org/W4404914637","doi":"https://doi.org/10.1109/tcns.2024.3510578"},"language":"en","primary_location":{"id":"doi:10.1109/tcns.2024.3510578","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcns.2024.3510578","pdf_url":null,"source":{"id":"https://openalex.org/S2502544478","display_name":"IEEE Transactions on Control of Network Systems","issn_l":"2325-5870","issn":["2325-5870","2372-2533"],"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 Control of Network 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/A5017943302","display_name":"Jie Zhong","orcid":"https://orcid.org/0000-0002-7196-5753"},"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":"Jie Zhong","raw_affiliation_strings":["School of Mathematical Sciences, Zhejiang Normal University, Jinhua, China"],"raw_orcid":"https://orcid.org/0000-0002-7196-5753","affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Zhejiang Normal University, Jinhua, China","institution_ids":["https://openalex.org/I135237710"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083720174","display_name":"Qinyao Pan","orcid":"https://orcid.org/0000-0002-5093-0244"},"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":"Qinyao Pan","raw_affiliation_strings":["School of Mathematical Sciences, Zhejiang Normal University, Jinhua, China"],"raw_orcid":"https://orcid.org/0000-0002-5093-0244","affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Zhejiang Normal University, Jinhua, China","institution_ids":["https://openalex.org/I135237710"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5112431451","display_name":"Die Xu","orcid":null},"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":"Die Xu","raw_affiliation_strings":["School of Mathematical Sciences, Zhejiang Normal University, Jinhua, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Zhejiang Normal University, Jinhua, China","institution_ids":["https://openalex.org/I135237710"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031896168","display_name":"Bowen Li","orcid":"https://orcid.org/0000-0002-3269-2529"},"institutions":[{"id":"https://openalex.org/I41198531","display_name":"Nanjing University of Posts and Telecommunications","ror":"https://ror.org/043bpky34","country_code":"CN","type":"education","lineage":["https://openalex.org/I41198531"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Bowen Li","raw_affiliation_strings":["School of Computer Science, Nanjing University of Posts and Telecommunications, Nanjing, China"],"raw_orcid":"https://orcid.org/0000-0002-3269-2529","affiliations":[{"raw_affiliation_string":"School of Computer Science, Nanjing University of Posts and Telecommunications, Nanjing, China","institution_ids":["https://openalex.org/I41198531"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100369020","display_name":"Ning Li","orcid":"https://orcid.org/0000-0002-3549-8318"},"institutions":[{"id":"https://openalex.org/I7726996","display_name":"Henan University of Economic and Law","ror":"https://ror.org/000jtc944","country_code":"CN","type":"education","lineage":["https://openalex.org/I7726996"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ning Li","raw_affiliation_strings":["College of Mathematics and Information Science, Henan University of Economics and Law, Zhengzhou, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics and Information Science, Henan University of Economics and Law, Zhengzhou, China","institution_ids":["https://openalex.org/I7726996"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":5.3069,"has_fulltext":false,"cited_by_count":26,"citation_normalized_percentile":{"value":0.96631509,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":100},"biblio":{"volume":"12","issue":"1","first_page":"28","last_page":"37"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9923999905586243,"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":0.9923999905586243,"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":0.9470999836921692,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.6121079325675964},{"id":"https://openalex.org/keywords/boolean-function","display_name":"Boolean function","score":0.5940808057785034},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5635968446731567},{"id":"https://openalex.org/keywords/and-inverter-graph","display_name":"And-inverter graph","score":0.5452121496200562},{"id":"https://openalex.org/keywords/circuit-minimization-for-boolean-functions","display_name":"Circuit minimization for Boolean functions","score":0.5101981163024902},{"id":"https://openalex.org/keywords/boolean-network","display_name":"Boolean network","score":0.5084201693534851},{"id":"https://openalex.org/keywords/boolean-circuit","display_name":"Boolean circuit","score":0.49559199810028076},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.494517058134079},{"id":"https://openalex.org/keywords/control-system","display_name":"Control system","score":0.43653690814971924},{"id":"https://openalex.org/keywords/boolean-expression","display_name":"Boolean expression","score":0.4121488630771637},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3792789578437805},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.31970250606536865},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.22661161422729492},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.15072137117385864}],"concepts":[{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.6121079325675964},{"id":"https://openalex.org/C187455244","wikidata":"https://www.wikidata.org/wiki/Q942353","display_name":"Boolean function","level":2,"score":0.5940808057785034},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5635968446731567},{"id":"https://openalex.org/C196836630","wikidata":"https://www.wikidata.org/wiki/Q4753279","display_name":"And-inverter graph","level":4,"score":0.5452121496200562},{"id":"https://openalex.org/C94992772","wikidata":"https://www.wikidata.org/wiki/Q6667469","display_name":"Circuit minimization for Boolean functions","level":4,"score":0.5101981163024902},{"id":"https://openalex.org/C134444547","wikidata":"https://www.wikidata.org/wiki/Q585230","display_name":"Boolean network","level":3,"score":0.5084201693534851},{"id":"https://openalex.org/C141796577","wikidata":"https://www.wikidata.org/wiki/Q837479","display_name":"Boolean circuit","level":3,"score":0.49559199810028076},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.494517058134079},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.43653690814971924},{"id":"https://openalex.org/C158465420","wikidata":"https://www.wikidata.org/wiki/Q1979515","display_name":"Boolean expression","level":3,"score":0.4121488630771637},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3792789578437805},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.31970250606536865},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.22661161422729492},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.15072137117385864},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tcns.2024.3510578","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcns.2024.3510578","pdf_url":null,"source":{"id":"https://openalex.org/S2502544478","display_name":"IEEE Transactions on Control of Network Systems","issn_l":"2325-5870","issn":["2325-5870","2372-2533"],"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 Control of Network Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6038097078","display_name":null,"funder_award_id":"62273309","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6981289898","display_name":null,"funder_award_id":"62073122","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W595252221","https://openalex.org/W1549607829","https://openalex.org/W1807981783","https://openalex.org/W1848570975","https://openalex.org/W1910803460","https://openalex.org/W1971224531","https://openalex.org/W1991720013","https://openalex.org/W2007581236","https://openalex.org/W2030772003","https://openalex.org/W2049480816","https://openalex.org/W2077895748","https://openalex.org/W2149588608","https://openalex.org/W2151852639","https://openalex.org/W2202757959","https://openalex.org/W2340667721","https://openalex.org/W2486512961","https://openalex.org/W2518061852","https://openalex.org/W2561352557","https://openalex.org/W2576267945","https://openalex.org/W2603981946","https://openalex.org/W2693902573","https://openalex.org/W2751479285","https://openalex.org/W2753793742","https://openalex.org/W2911779692","https://openalex.org/W2997622225","https://openalex.org/W3158339131","https://openalex.org/W3193411687","https://openalex.org/W4205302014","https://openalex.org/W4212895190","https://openalex.org/W4313641739","https://openalex.org/W4313645005"],"related_works":["https://openalex.org/W83199760","https://openalex.org/W2995617542","https://openalex.org/W1991822629","https://openalex.org/W2735569833","https://openalex.org/W4388918472","https://openalex.org/W2234833091","https://openalex.org/W4231391991","https://openalex.org/W2246807618","https://openalex.org/W2106622045","https://openalex.org/W1994082062"],"abstract_inverted_index":{"In":[0,72,94],"this":[1,124],"article,":[2],"the":[3,16,27,35,52,55,65,73,85,95,102,106,115,141,144],"output":[4,87],"regulation":[5],"problem":[6],"(ORP)":[7],"of":[8,19,23,37,44,54,67,108,143],"Boolean":[9,29],"control":[10,81,109],"networks":[11,30],"(BCNs)":[12],"is":[13,77],"studied":[14],"via":[15],"semitensor":[17],"product":[18],"matrices,":[20],"with":[21],"consideration":[22],"probabilistic":[24],"outputs":[25,43],"from":[26],"reference":[28],"(BNs).":[31],"We":[32],"first":[33,74],"define":[34],"concept":[36],"mean":[38],"square":[39],"error":[40],"(MSE)":[41],"between":[42],"two":[45],"BNs,":[46],"establishing":[47],"several":[48,134],"theoretical":[49,146],"results":[50],"on":[51,100],"solvability":[53],"ORP.":[56],"Subsequently,":[57],"state":[58,130],"feedback":[59],"controllers":[60],"are":[61,137],"designed":[62],"to":[63,122,139],"address":[64],"ORP":[66,76],"BCNs":[68],"under":[69],"different":[70],"scenarios.":[71],"scenario,":[75,97],"addressed":[78],"by":[79,117],"developing":[80],"strategies":[82],"that":[83],"ensure":[84],"system's":[86],"remains":[88],"within":[89],"a":[90,119],"predefined":[91],"MSE":[92,104,126],"threshold.":[93],"second":[96,116],"we":[98],"focus":[99],"achieving":[101],"minimum":[103,125],"through":[105],"optimization":[107],"strategies.":[110],"The":[111],"final":[112],"scenario":[113],"extends":[114],"conducting":[118],"detailed":[120],"analysis":[121],"maintain":[123],"uniformly":[127],"across":[128],"all":[129],"pairs.":[131],"To":[132],"conclude,":[133],"numerical":[135],"examples":[136],"provided":[138],"verify":[140],"effectiveness":[142],"proposed":[145],"results.":[147]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":24}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
