{"id":"https://openalex.org/W4400904979","doi":"https://doi.org/10.1109/tcns.2024.3432826","title":"Event-Triggered Robust Synchronization of Probabilistic Boolean Networks: Robust Invariant Set Approach","display_name":"Event-Triggered Robust Synchronization of Probabilistic Boolean Networks: Robust Invariant Set Approach","publication_year":2024,"publication_date":"2024-07-23","ids":{"openalex":"https://openalex.org/W4400904979","doi":"https://doi.org/10.1109/tcns.2024.3432826"},"language":"en","primary_location":{"id":"doi:10.1109/tcns.2024.3432826","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcns.2024.3432826","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/A5010841977","display_name":"Dingyuan Zhong","orcid":"https://orcid.org/0000-0001-6138-8406"},"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":true,"raw_author_name":"Dingyuan Zhong","raw_affiliation_strings":["School of Mathematics, Southeast University, Nanjing, China"],"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/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"],"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/A5017808266","display_name":"Jinde Cao","orcid":"https://orcid.org/0000-0003-3133-7119"},"institutions":[{"id":"https://openalex.org/I15823474","display_name":"Linyi University","ror":"https://ror.org/01knv0402","country_code":"CN","type":"education","lineage":["https://openalex.org/I15823474"]},{"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","School of Automation and Electrical Engineering, Linyi University, Linyi, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, Southeast University, Nanjing, China","institution_ids":["https://openalex.org/I76569877"]},{"raw_affiliation_string":"School of Automation and Electrical Engineering, Linyi University, Linyi, China","institution_ids":["https://openalex.org/I15823474"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5010841977"],"corresponding_institution_ids":["https://openalex.org/I76569877"],"apc_list":null,"apc_paid":null,"fwci":0.4589,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.63677559,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":98},"biblio":{"volume":"12","issue":"1","first_page":"1150","last_page":"1162"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9977999925613403,"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":0.9977999925613403,"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/T12029","display_name":"DNA and Biological Computing","score":0.9445000290870667,"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/T13052","display_name":"Molecular Communication and Nanonetworks","score":0.930899977684021,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical 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/probabilistic-logic","display_name":"Probabilistic logic","score":0.6291622519493103},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.621862530708313},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.5623840093612671},{"id":"https://openalex.org/keywords/synchronization","display_name":"Synchronization (alternating current)","score":0.529664933681488},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4575961232185364},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.43696245551109314},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.42585331201553345},{"id":"https://openalex.org/keywords/robust-control","display_name":"Robust control","score":0.4245762526988983},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2996048927307129},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2779598534107208},{"id":"https://openalex.org/keywords/control-system","display_name":"Control system","score":0.26715919375419617},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.1007903516292572},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.09859493374824524},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.09554070234298706}],"concepts":[{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.6291622519493103},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.621862530708313},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.5623840093612671},{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.529664933681488},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4575961232185364},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.43696245551109314},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.42585331201553345},{"id":"https://openalex.org/C31531917","wikidata":"https://www.wikidata.org/wiki/Q915157","display_name":"Robust control","level":3,"score":0.4245762526988983},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2996048927307129},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2779598534107208},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.26715919375419617},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.1007903516292572},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.09859493374824524},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.09554070234298706},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tcns.2024.3432826","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcns.2024.3432826","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/G5077379007","display_name":null,"funder_award_id":"62373105","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7323475582","display_name":null,"funder_award_id":"BK20240009","funder_id":"https://openalex.org/F4320322769","funder_display_name":"Natural Science Foundation of Jiangsu Province"},{"id":"https://openalex.org/G7846504898","display_name":null,"funder_award_id":"62233004","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/F4320322769","display_name":"Natural Science Foundation of Jiangsu Province","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W1971224531","https://openalex.org/W1973401551","https://openalex.org/W1980343822","https://openalex.org/W1986987751","https://openalex.org/W2025387155","https://openalex.org/W2030393377","https://openalex.org/W2033055962","https://openalex.org/W2033505412","https://openalex.org/W2077895748","https://openalex.org/W2110930780","https://openalex.org/W2130721915","https://openalex.org/W2160533336","https://openalex.org/W2289962199","https://openalex.org/W2323021711","https://openalex.org/W2486512961","https://openalex.org/W2795099004","https://openalex.org/W2802289144","https://openalex.org/W2963390766","https://openalex.org/W2970018239","https://openalex.org/W2970865965","https://openalex.org/W2994044033","https://openalex.org/W2996966115","https://openalex.org/W3011461731","https://openalex.org/W3086742058","https://openalex.org/W4212908414","https://openalex.org/W4312574125","https://openalex.org/W4313814700","https://openalex.org/W4380201988","https://openalex.org/W4381162437"],"related_works":["https://openalex.org/W2494523064","https://openalex.org/W2770593030","https://openalex.org/W3154990682","https://openalex.org/W2943623134","https://openalex.org/W2560201613","https://openalex.org/W2588219639","https://openalex.org/W2215759665","https://openalex.org/W2030292806","https://openalex.org/W2171975302","https://openalex.org/W1980376593"],"abstract_inverted_index":{"In":[0],"this":[1,26],"article,":[2],"we":[3],"consider":[4],"event-triggered":[5,121],"control":[6,57,100],"(ETC)":[7],"to":[8,77,95,145,154],"achieve":[9],"robust":[10,72,78,99],"synchronization":[11,73],"between":[12],"Boolean":[13,17],"networks":[14,18,40],"and":[15,112],"probabilistic":[16],"(PBNs).":[19],"The":[20],"advantage":[21],"of":[22,42,67,81,103,120,127],"the":[23,46,56,60,68,86,97,118,156],"controller":[24],"in":[25,29,38],"article":[27],"lies":[28],"its":[30],"robustness":[31],"against":[32],"random":[33],"disturbances,":[34],"which":[35,109],"unavoidably":[36],"exist":[37],"real":[39],"because":[41,53],"environmental":[43],"changes.":[44],"Moreover,":[45],"proposed":[47],"ETC":[48],"effectively":[49],"reduces":[50],"energy":[51],"consumption,":[52],"it":[54],"achieves":[55],"objective":[58],"using":[59,85],"shortest":[61],"possible":[62],"time":[63],"without":[64],"unnecessary":[65],"updates":[66],"feedback":[69],"gain.":[70],"First,":[71],"is":[74,93,115,131],"equivalently":[75],"converted":[76],"set":[79,102],"stabilization":[80],"an":[82],"augmented":[83],"PBN":[84],"semitensor":[87],"product.":[88],"Second,":[89],"a":[90,104,110,124,134],"feasible":[91,129],"algorithm":[92],"presented":[94],"calculate":[96],"largest":[98],"invariant":[101],"given":[105],"set,":[106],"based":[107],"on":[108],"necessary":[111],"sufficient":[113],"condition":[114],"developed":[116],"for":[117],"existence":[119],"controllers.":[122],"Then,":[123],"detailed":[125],"configuration":[126],"all":[128],"controllers":[130,142],"provided":[132,153],"by":[133],"constructive":[135],"algorithm.":[136],"Under":[137],"some":[138],"mild":[139],"conditions,":[140],"global":[141],"are":[143,152],"designed":[144],"further":[146],"reduce":[147],"computation":[148],"load.":[149],"Finally,":[150],"examples":[151],"illustrate":[155],"main":[157],"results.":[158]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1}],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-10-10T00:00:00"}