{"id":"https://openalex.org/W2030990090","doi":"https://doi.org/10.1109/isb.2012.6314134","title":"New global stability conditions for genetic regulatory networks with time-varying delays","display_name":"New global stability conditions for genetic regulatory networks with time-varying delays","publication_year":2012,"publication_date":"2012-08-01","ids":{"openalex":"https://openalex.org/W2030990090","doi":"https://doi.org/10.1109/isb.2012.6314134","mag":"2030990090"},"language":"en","primary_location":{"id":"doi:10.1109/isb.2012.6314134","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isb.2012.6314134","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 IEEE 6th International Conference on Systems Biology (ISB)","raw_type":"proceedings-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/A5100518718","display_name":"Li\u2010Ping Tian","orcid":null},"institutions":[{"id":"https://openalex.org/I176432857","display_name":"Beijing Wuzi University","ror":"https://ror.org/00bd1d647","country_code":"CN","type":"education","lineage":["https://openalex.org/I176432857"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Li-Ping Tian","raw_affiliation_strings":["School of Information, Beijing Wuzi University, Beijing, China","School of Information Beijing Wuzi University, China"],"affiliations":[{"raw_affiliation_string":"School of Information, Beijing Wuzi University, Beijing, China","institution_ids":["https://openalex.org/I176432857"]},{"raw_affiliation_string":"School of Information Beijing Wuzi University, China","institution_ids":["https://openalex.org/I176432857"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101593579","display_name":"Shi Zhong-ke","orcid":null},"institutions":[{"id":"https://openalex.org/I17145004","display_name":"Northwestern Polytechnical University","ror":"https://ror.org/01y0j0j86","country_code":"CN","type":"education","lineage":["https://openalex.org/I17145004"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhong-Ke Shi","raw_affiliation_strings":["School of Automatic Control, Northwestern Polytechnical University, Xi'an, Shaanxi, China"],"affiliations":[{"raw_affiliation_string":"School of Automatic Control, Northwestern Polytechnical University, Xi'an, Shaanxi, China","institution_ids":["https://openalex.org/I17145004"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5091157395","display_name":"Fang\u2010Xiang Wu","orcid":"https://orcid.org/0000-0002-4593-9332"},"institutions":[{"id":"https://openalex.org/I32625721","display_name":"University of Saskatchewan","ror":"https://ror.org/010x8gc63","country_code":"CA","type":"education","lineage":["https://openalex.org/I32625721"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Fang-Xiang Wu","raw_affiliation_strings":["Department of Mechanical Engineering and Division of Biomedical Engineering, University of Saskatchewan, Saskatoon, SAS, Canada","Department of Mechanical Engineering and Division of Biomedical Engineering in the University of Saskatchewan, Saskatoon, S7N 5A9, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering and Division of Biomedical Engineering, University of Saskatchewan, Saskatoon, SAS, Canada","institution_ids":["https://openalex.org/I32625721"]},{"raw_affiliation_string":"Department of Mechanical Engineering and Division of Biomedical Engineering in the University of Saskatchewan, Saskatoon, S7N 5A9, Canada","institution_ids":["https://openalex.org/I32625721"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100518718"],"corresponding_institution_ids":["https://openalex.org/I176432857"],"apc_list":null,"apc_paid":null,"fwci":0.2627,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.56694795,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"185","last_page":"191"},"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/T11764","display_name":"Evolution and Genetic Dynamics","score":0.9894999861717224,"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"}},{"id":"https://openalex.org/T10887","display_name":"Bioinformatics and Genomic Networks","score":0.9797999858856201,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6731353998184204},{"id":"https://openalex.org/keywords/linear-matrix-inequality","display_name":"Linear matrix inequality","score":0.6320652961730957},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.5965052247047424},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5419860482215881},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5407917499542236},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5187809467315674},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5136734843254089},{"id":"https://openalex.org/keywords/gene-regulatory-network","display_name":"Gene regulatory network","score":0.45835840702056885},{"id":"https://openalex.org/keywords/genetic-algorithm","display_name":"Genetic algorithm","score":0.4520473778247833},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4466955363750458},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3576468527317047},{"id":"https://openalex.org/keywords/gene","display_name":"Gene","score":0.14278042316436768},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.1027725338935852},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.08790645003318787},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.0850871205329895},{"id":"https://openalex.org/keywords/genetics","display_name":"Genetics","score":0.07894420623779297},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07186457514762878},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06687358021736145}],"concepts":[{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6731353998184204},{"id":"https://openalex.org/C201829737","wikidata":"https://www.wikidata.org/wiki/Q2022760","display_name":"Linear matrix inequality","level":2,"score":0.6320652961730957},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.5965052247047424},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5419860482215881},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5407917499542236},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5187809467315674},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5136734843254089},{"id":"https://openalex.org/C67339327","wikidata":"https://www.wikidata.org/wiki/Q1502576","display_name":"Gene regulatory network","level":4,"score":0.45835840702056885},{"id":"https://openalex.org/C8880873","wikidata":"https://www.wikidata.org/wiki/Q187787","display_name":"Genetic algorithm","level":2,"score":0.4520473778247833},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4466955363750458},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3576468527317047},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.14278042316436768},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.1027725338935852},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.08790645003318787},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0850871205329895},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.07894420623779297},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07186457514762878},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06687358021736145},{"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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C150194340","wikidata":"https://www.wikidata.org/wiki/Q26972","display_name":"Gene expression","level":3,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isb.2012.6314134","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isb.2012.6314134","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 IEEE 6th International Conference on Systems Biology (ISB)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Partnerships for the goals","score":0.4099999964237213,"id":"https://metadata.un.org/sdg/17"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W1500921805","https://openalex.org/W1604790719","https://openalex.org/W1607633954","https://openalex.org/W1645305843","https://openalex.org/W1645799104","https://openalex.org/W1990853262","https://openalex.org/W1993904195","https://openalex.org/W2002990526","https://openalex.org/W2046871615","https://openalex.org/W2079871064","https://openalex.org/W2104123948","https://openalex.org/W2120510384","https://openalex.org/W2125210796","https://openalex.org/W2134759932","https://openalex.org/W2140497888","https://openalex.org/W2150616088","https://openalex.org/W2168639189","https://openalex.org/W4211202937","https://openalex.org/W4213007956","https://openalex.org/W4295016751"],"related_works":["https://openalex.org/W2384699447","https://openalex.org/W4327639156","https://openalex.org/W4283708569","https://openalex.org/W2357096283","https://openalex.org/W2483377186","https://openalex.org/W2117470699","https://openalex.org/W2101859637","https://openalex.org/W2234502090","https://openalex.org/W4388874082","https://openalex.org/W2099438021"],"abstract_inverted_index":{"The":[0],"study":[1],"of":[2,35,137],"the":[3,33,63,135],"global":[4],"stability":[5,49,83],"is":[6,123,127],"essential":[7],"for":[8,51,85],"designing":[9],"and":[10,62,76,111],"controlling":[11],"genetic":[12,52,86,105,142],"regulatory":[13,53,87,106,143],"networks.":[14],"Most":[15],"existing":[16,99,131],"results":[17,30],"on":[18,23,59],"this":[19,68],"issue":[20],"are":[21,95,145],"based":[22,58],"linear":[24],"matrix":[25,122],"inequality":[26],"(LMI)":[27],"approach,":[28],"which":[29,126],"in":[31,101],"checking":[32],"existence":[34],"feasible":[36],"solutions":[37],"to":[38,80,117],"high":[39],"dimensional":[40],"LMIs.":[41],"In":[42,67],"our":[43,138],"previous":[44],"study,":[45],"we":[46,70],"present":[47],"several":[48],"conditions":[50,84,94,115],"networks":[54,88,107,144],"with":[55,89,108],"time-varying":[56,90],"delays,":[57],"M-matrix":[60,78],"theory":[61,79],"non-smooth":[64],"Lyapunov":[65,74],"function.":[66],"paper,":[69],"design":[71],"a":[72],"smooth":[73],"function":[75],"employ":[77],"derive":[81],"new":[82],"delays.":[91],"Theoretically,":[92],"these":[93,114],"less":[96],"conservative":[97],"than":[98,130],"ones":[100],"some":[102],"cases.":[103],"For":[104],"n":[109,112],"genes":[110],"proteins,":[113],"become":[116],"check":[118],"if":[119],"an":[120,124],"n\u00d7n":[121],"M-matrix,":[125],"much":[128],"easier":[129],"results.":[132],"To":[133],"illustrate":[134],"effectiveness":[136],"theoretical":[139],"results,":[140],"two":[141],"analyzed.":[146]},"counts_by_year":[{"year":2019,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}