{"id":"https://openalex.org/W2148075745","doi":"https://doi.org/10.1109/tnn.2009.2033910","title":"Global Asymptotic Stability of Reaction\u2013Diffusion Cohen\u2013Grossberg Neural Networks With Continuously Distributed Delays","display_name":"Global Asymptotic Stability of Reaction\u2013Diffusion Cohen\u2013Grossberg Neural Networks With Continuously Distributed Delays","publication_year":2009,"publication_date":"2009-11-23","ids":{"openalex":"https://openalex.org/W2148075745","doi":"https://doi.org/10.1109/tnn.2009.2033910","mag":"2148075745","pmid":"https://pubmed.ncbi.nlm.nih.gov/19923046"},"language":"en","primary_location":{"id":"doi:10.1109/tnn.2009.2033910","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnn.2009.2033910","pdf_url":null,"source":{"id":"https://openalex.org/S42080949","display_name":"IEEE Transactions on Neural Networks","issn_l":"1045-9227","issn":["1045-9227","1941-0093"],"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 Neural Networks","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"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/A5026761509","display_name":"Z. D. Wang","orcid":"https://orcid.org/0000-0001-9204-5764"},"institutions":[{"id":"https://openalex.org/I9224756","display_name":"Northeastern University","ror":"https://ror.org/03awzbc87","country_code":"CN","type":"education","lineage":["https://openalex.org/I9224756"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhanshan Wang","raw_affiliation_strings":["School of Information Science and Engineering, Northeastern University, Shenyang, Liaoning 110004, China. zhanshan_wang@163.com","School of Information Science and Engineering, Northeastern University, Shenyang, Liaoning, China"],"affiliations":[{"raw_affiliation_string":"School of Information Science and Engineering, Northeastern University, Shenyang, Liaoning 110004, China. zhanshan_wang@163.com","institution_ids":["https://openalex.org/I9224756"]},{"raw_affiliation_string":"School of Information Science and Engineering, Northeastern University, Shenyang, Liaoning, China","institution_ids":["https://openalex.org/I9224756"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100625790","display_name":"Huaguang Zhang","orcid":"https://orcid.org/0000-0002-0647-4050"},"institutions":[{"id":"https://openalex.org/I9224756","display_name":"Northeastern University","ror":"https://ror.org/03awzbc87","country_code":"CN","type":"education","lineage":["https://openalex.org/I9224756"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Huaguang Zhang","raw_affiliation_strings":["School of Information Science and Engineering, Northeastern University, Shenyang, Liaoning, China"],"affiliations":[{"raw_affiliation_string":"School of Information Science and Engineering, Northeastern University, Shenyang, Liaoning, China","institution_ids":["https://openalex.org/I9224756"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5026761509"],"corresponding_institution_ids":["https://openalex.org/I9224756"],"apc_list":null,"apc_paid":null,"fwci":12.7355,"has_fulltext":false,"cited_by_count":149,"citation_normalized_percentile":{"value":0.98907351,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":100},"biblio":{"volume":"21","issue":"1","first_page":"39","last_page":"49"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11347","display_name":"Neural Networks Stability and Synchronization","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11347","display_name":"Neural Networks Stability and Synchronization","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T10608","display_name":"Neurogenesis and neuroplasticity mechanisms","score":0.9718000292778015,"subfield":{"id":"https://openalex.org/subfields/2806","display_name":"Developmental Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9688000082969666,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.8576071262359619},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.7321284413337708},{"id":"https://openalex.org/keywords/reaction\u2013diffusion-system","display_name":"Reaction\u2013diffusion system","score":0.6129990220069885},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5996577739715576},{"id":"https://openalex.org/keywords/linear-matrix-inequality","display_name":"Linear matrix inequality","score":0.5987006425857544},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5390005111694336},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.514651894569397},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4955986738204956},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.49293088912963867},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4910874366760254},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.38053256273269653},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.37875819206237793},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.2694742679595947},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.16813090443611145},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.12783241271972656},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09780436754226685},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.09072276949882507},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.07764530181884766},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.05626752972602844}],"concepts":[{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.8576071262359619},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.7321284413337708},{"id":"https://openalex.org/C121231716","wikidata":"https://www.wikidata.org/wiki/Q901210","display_name":"Reaction\u2013diffusion system","level":2,"score":0.6129990220069885},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5996577739715576},{"id":"https://openalex.org/C201829737","wikidata":"https://www.wikidata.org/wiki/Q2022760","display_name":"Linear matrix inequality","level":2,"score":0.5987006425857544},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5390005111694336},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.514651894569397},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4955986738204956},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.49293088912963867},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4910874366760254},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.38053256273269653},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37875819206237793},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2694742679595947},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.16813090443611145},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.12783241271972656},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09780436754226685},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.09072276949882507},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.07764530181884766},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.05626752972602844},{"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/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"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}],"mesh":[{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D006801","descriptor_name":"Humans","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D006801","descriptor_name":"Humans","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D006801","descriptor_name":"Humans","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008959","descriptor_name":"Models, Neurological","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008959","descriptor_name":"Models, Neurological","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008959","descriptor_name":"Models, Neurological","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D009474","descriptor_name":"Neurons","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D009474","descriptor_name":"Neurons","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D009474","descriptor_name":"Neurons","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D010363","descriptor_name":"Pattern Recognition, Automated","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D010363","descriptor_name":"Pattern Recognition, Automated","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D010363","descriptor_name":"Pattern Recognition, Automated","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D013997","descriptor_name":"Time Factors","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D013997","descriptor_name":"Time Factors","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D013997","descriptor_name":"Time Factors","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D016014","descriptor_name":"Linear Models","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D016014","descriptor_name":"Linear Models","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D016014","descriptor_name":"Linear Models","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D016247","descriptor_name":"Information Storage and Retrieval","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D016247","descriptor_name":"Information Storage and Retrieval","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D016247","descriptor_name":"Information Storage and Retrieval","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D016571","descriptor_name":"Neural Networks, Computer","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D016571","descriptor_name":"Neural Networks, Computer","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D016571","descriptor_name":"Neural Networks, Computer","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true}],"locations_count":2,"locations":[{"id":"doi:10.1109/tnn.2009.2033910","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnn.2009.2033910","pdf_url":null,"source":{"id":"https://openalex.org/S42080949","display_name":"IEEE Transactions on Neural Networks","issn_l":"1045-9227","issn":["1045-9227","1941-0093"],"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 Neural Networks","raw_type":"journal-article"},{"id":"pmid:19923046","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/19923046","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on neural networks","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":59,"referenced_works":["https://openalex.org/W1502059825","https://openalex.org/W1973545255","https://openalex.org/W1992125110","https://openalex.org/W1992408221","https://openalex.org/W1994668298","https://openalex.org/W1995208361","https://openalex.org/W2009184463","https://openalex.org/W2009808198","https://openalex.org/W2010788746","https://openalex.org/W2013559073","https://openalex.org/W2013869158","https://openalex.org/W2017469681","https://openalex.org/W2026210825","https://openalex.org/W2029262851","https://openalex.org/W2031684469","https://openalex.org/W2034001765","https://openalex.org/W2045166548","https://openalex.org/W2046840835","https://openalex.org/W2048275747","https://openalex.org/W2048682156","https://openalex.org/W2051926918","https://openalex.org/W2054671463","https://openalex.org/W2055405986","https://openalex.org/W2055728724","https://openalex.org/W2058431330","https://openalex.org/W2059932672","https://openalex.org/W2059938747","https://openalex.org/W2062210787","https://openalex.org/W2063887329","https://openalex.org/W2067954099","https://openalex.org/W2071444262","https://openalex.org/W2073122081","https://openalex.org/W2075572566","https://openalex.org/W2080615176","https://openalex.org/W2084863745","https://openalex.org/W2089709716","https://openalex.org/W2089865066","https://openalex.org/W2090201174","https://openalex.org/W2100128021","https://openalex.org/W2100337613","https://openalex.org/W2100409232","https://openalex.org/W2107359293","https://openalex.org/W2121752938","https://openalex.org/W2139964569","https://openalex.org/W2143348717","https://openalex.org/W2144413137","https://openalex.org/W2150340814","https://openalex.org/W2151643364","https://openalex.org/W2152122204","https://openalex.org/W2153308713","https://openalex.org/W2155660320","https://openalex.org/W2161172481","https://openalex.org/W2162450597","https://openalex.org/W2168074109","https://openalex.org/W2168091652","https://openalex.org/W2267934804","https://openalex.org/W2310420328","https://openalex.org/W2317753881","https://openalex.org/W4250703352"],"related_works":["https://openalex.org/W1593898832","https://openalex.org/W2142048021","https://openalex.org/W2756324413","https://openalex.org/W2383529437","https://openalex.org/W2134075948","https://openalex.org/W1790223069","https://openalex.org/W2081245100","https://openalex.org/W2034561445","https://openalex.org/W2006090893","https://openalex.org/W2060195842"],"abstract_inverted_index":{"This":[0],"paper":[1],"is":[2,88],"concerned":[3],"with":[4,17,52],"the":[5,33,47,66,76,79,83,93,96],"global":[6],"asymptotic":[7],"stability":[8,44,68],"of":[9,12,78,95],"a":[10,27],"class":[11],"reaction-diffusion":[13,48],"Cohen-Grossberg":[14,49],"neural":[15,50],"networks":[16,51],"continuously":[18,53],"distributed":[19,54],"delays.":[20,55],"Under":[21],"some":[22,41],"suitable":[23],"assumptions":[24],"and":[25,63],"using":[26],"matrix":[28,35],"decomposition":[29],"method,":[30],"we":[31],"apply":[32],"linear":[34],"inequality":[36],"(LMI)":[37],"method":[38],"to":[39,61,74,91],"propose":[40],"new":[42],"sufficient":[43],"conditions":[45],"for":[46],"The":[56],"obtained":[57,80,97],"results":[58,81],"are":[59,72],"easy":[60],"check":[62],"improve":[64],"upon":[65],"existing":[67],"results.":[69,85,98],"Some":[70],"remarks":[71],"given":[73,90],"show":[75],"advantages":[77],"over":[82],"previous":[84],"An":[86],"example":[87],"also":[89],"demonstrate":[92],"effectiveness":[94]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":8},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":9},{"year":2017,"cited_by_count":13},{"year":2016,"cited_by_count":16},{"year":2015,"cited_by_count":10},{"year":2014,"cited_by_count":11},{"year":2013,"cited_by_count":14},{"year":2012,"cited_by_count":15}],"updated_date":"2026-03-13T16:22:10.518609","created_date":"2025-10-10T00:00:00"}
