{"id":"https://openalex.org/W2155660320","doi":"https://doi.org/10.1162/089976603765202703","title":"New Conditions on Global Stability of Cohen-Grossberg Neural Networks","display_name":"New Conditions on Global Stability of Cohen-Grossberg Neural Networks","publication_year":2003,"publication_date":"2003-05-01","ids":{"openalex":"https://openalex.org/W2155660320","doi":"https://doi.org/10.1162/089976603765202703","mag":"2155660320","pmid":"https://pubmed.ncbi.nlm.nih.gov/12803961"},"language":"en","primary_location":{"id":"doi:10.1162/089976603765202703","is_oa":false,"landing_page_url":"https://doi.org/10.1162/089976603765202703","pdf_url":null,"source":{"id":"https://openalex.org/S207023548","display_name":"Neural Computation","issn_l":"0899-7667","issn":["0899-7667","1530-888X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315718","host_organization_name":"The MIT Press","host_organization_lineage":["https://openalex.org/P4310315718"],"host_organization_lineage_names":["The MIT Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Neural Computation","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/A5030103251","display_name":"Wenlian Lu","orcid":"https://orcid.org/0000-0003-1880-6240"},"institutions":[{"id":"https://openalex.org/I24943067","display_name":"Fudan University","ror":"https://ror.org/013q1eq08","country_code":"CN","type":"education","lineage":["https://openalex.org/I24943067"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Wenlian Lu","raw_affiliation_strings":["Laboratory of Nonlinear Science, Institute of Mathematics, Fudan University, Shanghai 200433, P.R. China,"],"affiliations":[{"raw_affiliation_string":"Laboratory of Nonlinear Science, Institute of Mathematics, Fudan University, Shanghai 200433, P.R. China,","institution_ids":["https://openalex.org/I24943067"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5062509066","display_name":"Tianping Chen","orcid":"https://orcid.org/0000-0001-6117-6673"},"institutions":[{"id":"https://openalex.org/I24943067","display_name":"Fudan University","ror":"https://ror.org/013q1eq08","country_code":"CN","type":"education","lineage":["https://openalex.org/I24943067"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Tianping Chen","raw_affiliation_strings":["Laboratory of Nonlinear Science, Institute of Mathematics, Fudan University, Shanghai 200433, P.R. China,"],"affiliations":[{"raw_affiliation_string":"Laboratory of Nonlinear Science, Institute of Mathematics, Fudan University, Shanghai 200433, P.R. China,","institution_ids":["https://openalex.org/I24943067"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5030103251","https://openalex.org/A5062509066"],"corresponding_institution_ids":["https://openalex.org/I24943067"],"apc_list":null,"apc_paid":null,"fwci":5.1937,"has_fulltext":false,"cited_by_count":125,"citation_normalized_percentile":{"value":0.95943285,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"15","issue":"5","first_page":"1173","last_page":"1189"},"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/T10320","display_name":"Neural Networks and Applications","score":0.9951000213623047,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9926999807357788,"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/artificial-neural-network","display_name":"Artificial neural network","score":0.7605410814285278},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6004334092140198},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.5863722562789917},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5824033617973328},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.49274471402168274},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.46361854672431946},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4404396414756775},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3760277330875397},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3451007604598999},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.30768826603889465},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.16894689202308655},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11320018768310547},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.10333719849586487},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.0812842845916748}],"concepts":[{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.7605410814285278},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6004334092140198},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.5863722562789917},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5824033617973328},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.49274471402168274},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46361854672431946},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4404396414756775},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3760277330875397},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3451007604598999},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.30768826603889465},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.16894689202308655},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11320018768310547},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.10333719849586487},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.0812842845916748},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","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":[{"descriptor_ui":"D009434","descriptor_name":"Neural Pathways","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D009434","descriptor_name":"Neural Pathways","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D009434","descriptor_name":"Neural Pathways","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":"D009474","descriptor_name":"Neurons","qualifier_ui":"Q000502","qualifier_name":"physiology","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:10.1162/089976603765202703","is_oa":false,"landing_page_url":"https://doi.org/10.1162/089976603765202703","pdf_url":null,"source":{"id":"https://openalex.org/S207023548","display_name":"Neural Computation","issn_l":"0899-7667","issn":["0899-7667","1530-888X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315718","host_organization_name":"The MIT Press","host_organization_lineage":["https://openalex.org/P4310315718"],"host_organization_lineage_names":["The MIT Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Neural Computation","raw_type":"journal-article"},{"id":"pmid:12803961","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/12803961","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":"Neural computation","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"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":32,"referenced_works":["https://openalex.org/W1488435683","https://openalex.org/W1973024930","https://openalex.org/W1996773027","https://openalex.org/W2000647458","https://openalex.org/W2010526455","https://openalex.org/W2014549417","https://openalex.org/W2016354087","https://openalex.org/W2022111970","https://openalex.org/W2027802883","https://openalex.org/W2036270456","https://openalex.org/W2048646957","https://openalex.org/W2051425609","https://openalex.org/W2054474188","https://openalex.org/W2062210787","https://openalex.org/W2065134213","https://openalex.org/W2075256837","https://openalex.org/W2075510082","https://openalex.org/W2085982859","https://openalex.org/W2087831875","https://openalex.org/W2094307076","https://openalex.org/W2098882519","https://openalex.org/W2112246162","https://openalex.org/W2112576769","https://openalex.org/W2121752938","https://openalex.org/W2126681784","https://openalex.org/W2135473110","https://openalex.org/W2150534338","https://openalex.org/W2159116087","https://openalex.org/W2161486462","https://openalex.org/W2167854081","https://openalex.org/W3140062925","https://openalex.org/W3141151088"],"related_works":["https://openalex.org/W1593898832","https://openalex.org/W2142048021","https://openalex.org/W2383529437","https://openalex.org/W2134075948","https://openalex.org/W2756324413","https://openalex.org/W1517908938","https://openalex.org/W2081245100","https://openalex.org/W2391251536","https://openalex.org/W2362198218","https://openalex.org/W1984922432"],"abstract_inverted_index":{"In":[0],"this":[1],"letter,":[2],"we":[3],"discuss":[4],"the":[5,8,23,40],"dynamics":[6],"of":[7,19,39,42],"Cohen-Grossberg":[9,24],"neural":[10],"networks.":[11],"We":[12,34],"provide":[13,36],"a":[14],"new":[15],"and":[16,30],"relaxed":[17],"set":[18],"sufficient":[20],"conditions":[21],"for":[22],"networks":[25],"to":[26],"be":[27],"absolutely":[28],"stable":[29,32],"exponentially":[31],"globally.":[33],"also":[35],"an":[37],"estimate":[38],"rate":[41],"convergence.":[43]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":7},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":9}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}