{"id":"https://openalex.org/W3082152409","doi":"https://doi.org/10.1109/access.2020.3021020","title":"Robust Stability and Stabilisation of Delayed Boolean Networks With Disturbance","display_name":"Robust Stability and Stabilisation of Delayed Boolean Networks With Disturbance","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3082152409","doi":"https://doi.org/10.1109/access.2020.3021020","mag":"3082152409"},"language":"en","primary_location":{"id":"doi:10.1109/access.2020.3021020","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.3021020","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/09184050.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/09184050.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5083814563","display_name":"Chunfeng Jiang","orcid":"https://orcid.org/0000-0003-3704-0148"},"institutions":[{"id":"https://openalex.org/I196934937","display_name":"Liaocheng University","ror":"https://ror.org/03yh0n709","country_code":"CN","type":"education","lineage":["https://openalex.org/I196934937"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chunfeng Jiang","raw_affiliation_strings":["School of Mathematical Science, Liaocheng University, Liaocheng, China","Research Center of Semi-Tensor Product of Matrices: Theory and Applications, Liaocheng University, Liaocheng, China"],"raw_orcid":"https://orcid.org/0000-0003-3704-0148","affiliations":[{"raw_affiliation_string":"School of Mathematical Science, Liaocheng University, Liaocheng, China","institution_ids":["https://openalex.org/I196934937"]},{"raw_affiliation_string":"Research Center of Semi-Tensor Product of Matrices: Theory and Applications, Liaocheng University, Liaocheng, China","institution_ids":["https://openalex.org/I196934937"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064273061","display_name":"Shihua Fu","orcid":"https://orcid.org/0000-0003-0569-3283"},"institutions":[{"id":"https://openalex.org/I196934937","display_name":"Liaocheng University","ror":"https://ror.org/03yh0n709","country_code":"CN","type":"education","lineage":["https://openalex.org/I196934937"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shihua Fu","raw_affiliation_strings":["School of Mathematical Science, Liaocheng University, Liaocheng, China","Research Center of Semi-Tensor Product of Matrices: Theory and Applications, Liaocheng University, Liaocheng, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Science, Liaocheng University, Liaocheng, China","institution_ids":["https://openalex.org/I196934937"]},{"raw_affiliation_string":"Research Center of Semi-Tensor Product of Matrices: Theory and Applications, Liaocheng University, Liaocheng, China","institution_ids":["https://openalex.org/I196934937"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5112686013","display_name":"Jianli Zhao","orcid":null},"institutions":[{"id":"https://openalex.org/I196934937","display_name":"Liaocheng University","ror":"https://ror.org/03yh0n709","country_code":"CN","type":"education","lineage":["https://openalex.org/I196934937"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jianli Zhao","raw_affiliation_strings":["School of Mathematical Science, Liaocheng University, Liaocheng, China","Research Center of Semi-Tensor Product of Matrices: Theory and Applications, Liaocheng University, Liaocheng, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Science, Liaocheng University, Liaocheng, China","institution_ids":["https://openalex.org/I196934937"]},{"raw_affiliation_string":"Research Center of Semi-Tensor Product of Matrices: Theory and Applications, Liaocheng University, Liaocheng, China","institution_ids":["https://openalex.org/I196934937"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":0.1667,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.5048843,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"8","issue":null,"first_page":"159471","last_page":"159478"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9998999834060669,"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":0.9998999834060669,"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/T10932","display_name":"Microbial Metabolic Engineering and Bioproduction","score":0.9753000140190125,"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/T10120","display_name":"Bacterial Genetics and Biotechnology","score":0.9614999890327454,"subfield":{"id":"https://openalex.org/subfields/1311","display_name":"Genetics"},"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"}}],"keywords":[{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6188652515411377},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5921560525894165},{"id":"https://openalex.org/keywords/robust-control","display_name":"Robust control","score":0.5612446069717407},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5463330149650574},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5292163491249084},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.46992743015289307},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.46245077252388},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.4604284465312958},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.42283183336257935},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.34552332758903503},{"id":"https://openalex.org/keywords/control-system","display_name":"Control system","score":0.2847006916999817},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.1654568910598755},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.16276511549949646},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.08578863739967346},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.07276254892349243}],"concepts":[{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6188652515411377},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5921560525894165},{"id":"https://openalex.org/C31531917","wikidata":"https://www.wikidata.org/wiki/Q915157","display_name":"Robust control","level":3,"score":0.5612446069717407},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5463330149650574},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5292163491249084},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.46992743015289307},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.46245077252388},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.4604284465312958},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.42283183336257935},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.34552332758903503},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.2847006916999817},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.1654568910598755},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.16276511549949646},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.08578863739967346},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.07276254892349243},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"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/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","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},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2020.3021020","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.3021020","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/09184050.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:7956059ada1c4672b76a6c80fd6185df","is_oa":true,"landing_page_url":"https://doaj.org/article/7956059ada1c4672b76a6c80fd6185df","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 8, Pp 159471-159478 (2020)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2020.3021020","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.3021020","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/09184050.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.5400000214576721,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[{"id":"https://openalex.org/G1378667079","display_name":null,"funder_award_id":"61803240","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G147322787","display_name":null,"funder_award_id":"ZR2019BF023","funder_id":"https://openalex.org/F4320324174","funder_display_name":"Natural Science Foundation of Shandong Province"},{"id":"https://openalex.org/G3915899861","display_name":null,"funder_award_id":"ZR2019BF023","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6129807317","display_name":null,"funder_award_id":"61803240","funder_id":"https://openalex.org/F4320324174","funder_display_name":"Natural Science Foundation of Shandong Province"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320324174","display_name":"Natural Science Foundation of Shandong Province","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W567151721","https://openalex.org/W1971224531","https://openalex.org/W1982181970","https://openalex.org/W1991720013","https://openalex.org/W1993904195","https://openalex.org/W2005936873","https://openalex.org/W2007581236","https://openalex.org/W2020196141","https://openalex.org/W2028949763","https://openalex.org/W2052136341","https://openalex.org/W2072471271","https://openalex.org/W2077053100","https://openalex.org/W2108523966","https://openalex.org/W2143549867","https://openalex.org/W2150616088","https://openalex.org/W2290618319","https://openalex.org/W2297307567","https://openalex.org/W2341009958","https://openalex.org/W2489815960","https://openalex.org/W2561909881","https://openalex.org/W2620196274","https://openalex.org/W2693902573","https://openalex.org/W2746087147","https://openalex.org/W2757947231","https://openalex.org/W2786108501","https://openalex.org/W2885456447","https://openalex.org/W2894137968","https://openalex.org/W2896602708","https://openalex.org/W2921095515","https://openalex.org/W2940903634","https://openalex.org/W2947165835","https://openalex.org/W6739848874"],"related_works":["https://openalex.org/W2770593030","https://openalex.org/W3154990682","https://openalex.org/W2560201613","https://openalex.org/W2171975302","https://openalex.org/W2022352247","https://openalex.org/W2488129135","https://openalex.org/W4312219546","https://openalex.org/W2377538627","https://openalex.org/W2107220315","https://openalex.org/W2136252229"],"abstract_inverted_index":{"In":[0],"this":[1,22],"paper,":[2],"we":[3,108],"study":[4,17],"a":[5,79,95],"type":[6],"of":[7,21,24,43,73,91],"delayed":[8,75],"Boolean":[9,76],"networks(DBNs)":[10],"which":[11,30],"are":[12,66],"affected":[13],"by":[14,34],"disturbances.":[15],"We":[16],"the":[18,35,40,50,59,70,74,88,92,105],"stability":[19,42,55],"problems":[20,65],"kind":[23],"DBNs":[25,44],"based":[26],"on":[27,69],"algebraic":[28,71],"form,":[29],"can":[31],"be":[32],"constructed":[33],"semi-tensor":[36],"product(STP)":[37],"method.":[38],"Firstly,":[39],"robust":[41,54,60,89],"without":[45],"control":[46,63,77,98],"is":[47,56,84,99],"investigated,":[48],"and":[49,62,81],"decision":[51],"condition":[52,83],"for":[53],"derived.":[57],"Then,":[58],"stabilisation":[61,90],"design":[64],"considered.":[67],"Based":[68],"representation":[72],"networks(DBCNs),":[78],"necessary":[80],"sufficient":[82],"established":[85],"to":[86,102,112],"judge":[87],"system,":[93],"moreover,":[94],"state":[96],"feedback":[97],"also":[100],"designed":[101],"robustly":[103],"stabilize":[104],"DBCNs.":[106],"Finally,":[107],"give":[109],"an":[110],"example":[111],"support":[113],"our":[114],"new":[115],"results.":[116]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
