{"id":"https://openalex.org/W2033369241","doi":"https://doi.org/10.1142/s0218127409024724","title":"DELAY INDEPENDENT AND DEPENDENT STABILITY ANALYSIS FOR COHEN\u2013GROSSBERG NEURAL NETWORKS WITH TIME-VARYING DELAYS","display_name":"DELAY INDEPENDENT AND DEPENDENT STABILITY ANALYSIS FOR COHEN\u2013GROSSBERG NEURAL NETWORKS WITH TIME-VARYING DELAYS","publication_year":2009,"publication_date":"2009-09-01","ids":{"openalex":"https://openalex.org/W2033369241","doi":"https://doi.org/10.1142/s0218127409024724","mag":"2033369241"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127409024724","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127409024724","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","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/A5055901236","display_name":"Yiguang Liu","orcid":"https://orcid.org/0000-0002-8223-1173"},"institutions":[{"id":"https://openalex.org/I24185976","display_name":"Sichuan University","ror":"https://ror.org/011ashp19","country_code":"CN","type":"education","lineage":["https://openalex.org/I24185976"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"YIGUANG LIU","raw_affiliation_strings":["Institute of Image & Graphics, Key Laboratory of Fundamental Synthetic Vision Graphics and Image for National Defense, School of Computer Science and Engineering, Sichuan University, Chengdu 610064, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Image & Graphics, Key Laboratory of Fundamental Synthetic Vision Graphics and Image for National Defense, School of Computer Science and Engineering, Sichuan University, Chengdu 610064, P. R. China","institution_ids":["https://openalex.org/I24185976"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100509299","display_name":"Zhisheng You","orcid":null},"institutions":[{"id":"https://openalex.org/I24185976","display_name":"Sichuan University","ror":"https://ror.org/011ashp19","country_code":"CN","type":"education","lineage":["https://openalex.org/I24185976"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"ZHISHENG YOU","raw_affiliation_strings":["Institute of Image & Graphics, Key Laboratory of Fundamental Synthetic Vision Graphics and Image for National Defense, School of Computer Science and Engineering, Sichuan University, Chengdu 610064, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Image & Graphics, Key Laboratory of Fundamental Synthetic Vision Graphics and Image for National Defense, School of Computer Science and Engineering, Sichuan University, Chengdu 610064, P. R. China","institution_ids":["https://openalex.org/I24185976"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5005698588","display_name":"Bingbing Liu","orcid":"https://orcid.org/0000-0002-5272-3425"},"institutions":[{"id":"https://openalex.org/I115228651","display_name":"Agency for Science, Technology and Research","ror":"https://ror.org/036wvzt09","country_code":"SG","type":"government","lineage":["https://openalex.org/I115228651"]},{"id":"https://openalex.org/I144291393","display_name":"Data Storage Institute","ror":"https://ror.org/03k5xes38","country_code":"SG","type":"facility","lineage":["https://openalex.org/I115228651","https://openalex.org/I144291393"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"BINGBING LIU","raw_affiliation_strings":["Network Storage Technology Division Data Storage Institute, A*STAR, Singapore"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Network Storage Technology Division Data Storage Institute, A*STAR, Singapore","institution_ids":["https://openalex.org/I115228651","https://openalex.org/I144291393"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.16284637,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"19","issue":"09","first_page":"3149","last_page":"3159"},"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9943000078201294,"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/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9926000237464905,"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/uniqueness","display_name":"Uniqueness","score":0.7881211042404175},{"id":"https://openalex.org/keywords/equilibrium-point","display_name":"Equilibrium point","score":0.6181602478027344},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.5576964020729065},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5510983467102051},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5248596668243408},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5097152590751648},{"id":"https://openalex.org/keywords/novelty","display_name":"Novelty","score":0.5081932544708252},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4601896405220032},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4434438943862915},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.31454402208328247},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.14398759603500366},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.14134693145751953},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06586194038391113}],"concepts":[{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.7881211042404175},{"id":"https://openalex.org/C94766913","wikidata":"https://www.wikidata.org/wiki/Q1530271","display_name":"Equilibrium point","level":3,"score":0.6181602478027344},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.5576964020729065},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5510983467102051},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5248596668243408},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5097152590751648},{"id":"https://openalex.org/C2778738651","wikidata":"https://www.wikidata.org/wiki/Q16546687","display_name":"Novelty","level":2,"score":0.5081932544708252},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4601896405220032},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4434438943862915},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.31454402208328247},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.14398759603500366},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14134693145751953},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06586194038391113},{"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/C27206212","wikidata":"https://www.wikidata.org/wiki/Q34178","display_name":"Theology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127409024724","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127409024724","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W1488435683","https://openalex.org/W1973024930","https://openalex.org/W1987898991","https://openalex.org/W2013559073","https://openalex.org/W2022111970","https://openalex.org/W2024906608","https://openalex.org/W2034779834","https://openalex.org/W2039070048","https://openalex.org/W2054474188","https://openalex.org/W2062210787","https://openalex.org/W2069206870","https://openalex.org/W2077462293","https://openalex.org/W2087242455","https://openalex.org/W2097886556","https://openalex.org/W2100409232","https://openalex.org/W2116208257","https://openalex.org/W2117174885","https://openalex.org/W2123539377","https://openalex.org/W2128024167","https://openalex.org/W2146614799","https://openalex.org/W2151643364","https://openalex.org/W2153308713","https://openalex.org/W2161172481"],"related_works":["https://openalex.org/W2381242807","https://openalex.org/W3126131230","https://openalex.org/W2347541121","https://openalex.org/W571281153","https://openalex.org/W4288804799","https://openalex.org/W2383827392","https://openalex.org/W2782159350","https://openalex.org/W2410283908","https://openalex.org/W1964862439","https://openalex.org/W3109989318"],"abstract_inverted_index":{"For":[0],"Cohen\u2013Grossberg":[1],"neural":[2],"networks":[3,100],"with":[4,82,101],"time-varying":[5,102],"delays,":[6],"by":[7,42],"fixed":[8],"point":[9],"and":[10,20,50,95],"contract":[11],"mapping":[12],"theorems,":[13],"a":[14,45,57,67],"sufficient":[15,38,68],"condition":[16,69],"ensuring":[17],"the":[18,29,35,71,77,85,92,99,107,113,129,136],"existence":[19],"uniqueness":[21],"of":[22,34,44,56,65,76,106,112,135],"an":[23],"equilibrium":[24,78],"is":[25,79],"proposed.":[26],"To":[27],"guarantee":[28],"delay":[30,47,72],"independent":[31,111],"global":[32,74],"stability":[33,75],"equilibrium,":[36],"two":[37,122],"conditions":[39],"are":[40,96,110,124],"proposed":[41],"means":[43],"time":[46],"differential":[48],"inequality":[49],"contradiction":[51],"tricks,":[52],"respectively.":[53],"By":[54],"virtue":[55],"special":[58],"Lyapunov":[59],"functional":[60],"as":[61,63,131,133],"well":[62,132],"properties":[64],"M-matrices,":[66],"undertaking":[70],"dependent":[73],"introduced.":[80],"Compared":[81],"known":[83],"literatures,":[84],"presented":[86],"results":[87,109],"place":[88],"slack":[89],"restrictions":[90],"on":[91],"activation":[93],"functions,":[94,115],"suitable":[97],"for":[98],"delays.":[103],"Furthermore,":[104],"most":[105],"obtained":[108],"amplification":[114],"making":[116],"their":[117],"applicability":[118],"more":[119],"far-reaching.":[120],"Finally,":[121],"examples":[123],"numerically":[125],"simulated":[126],"to":[127],"illustrate":[128],"validity":[130],"novelty":[134],"criteria.":[137]},"counts_by_year":[{"year":2022,"cited_by_count":1}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}