{"id":"https://openalex.org/W2899582485","doi":"https://doi.org/10.1109/tsmc.2018.2876003","title":"Multiple \u03c8-Type Stability of Cohen\u2013Grossberg Neural Networks With Unbounded Time-Varying Delays","display_name":"Multiple \u03c8-Type Stability of Cohen\u2013Grossberg Neural Networks With Unbounded Time-Varying Delays","publication_year":2018,"publication_date":"2018-11-06","ids":{"openalex":"https://openalex.org/W2899582485","doi":"https://doi.org/10.1109/tsmc.2018.2876003","mag":"2899582485"},"language":"en","primary_location":{"id":"doi:10.1109/tsmc.2018.2876003","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsmc.2018.2876003","pdf_url":null,"source":{"id":"https://openalex.org/S4210209078","display_name":"IEEE Transactions on Systems Man and Cybernetics Systems","issn_l":"2168-2216","issn":["2168-2216","2168-2232"],"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 Systems, Man, and Cybernetics: Systems","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/A5041604044","display_name":"Fanghai Zhang","orcid":"https://orcid.org/0000-0002-6022-7499"},"institutions":[{"id":"https://openalex.org/I47720641","display_name":"Huazhong University of Science and Technology","ror":"https://ror.org/00p991c53","country_code":"CN","type":"education","lineage":["https://openalex.org/I47720641"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Fanghai Zhang","raw_affiliation_strings":["School of Automation, Huazhong University of Science and Technology, Wuhan, China","School of Computer Science and Technology, Huazhong University of Science and Technology, Wuhan, China"],"affiliations":[{"raw_affiliation_string":"School of Automation, Huazhong University of Science and Technology, Wuhan, China","institution_ids":["https://openalex.org/I47720641"]},{"raw_affiliation_string":"School of Computer Science and Technology, Huazhong University of Science and Technology, Wuhan, China","institution_ids":["https://openalex.org/I47720641"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5081245089","display_name":"Zhigang Zeng","orcid":"https://orcid.org/0000-0003-4587-3588"},"institutions":[{"id":"https://openalex.org/I47720641","display_name":"Huazhong University of Science and Technology","ror":"https://ror.org/00p991c53","country_code":"CN","type":"education","lineage":["https://openalex.org/I47720641"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhigang Zeng","raw_affiliation_strings":["Key Laboratory of Image Processing and Intelligent Control of Education Ministry of China, Huazhong University of Science and Technology, Wuhan, China","School of Automation, Huazhong University of Science and Technology, Wuhan, China"],"affiliations":[{"raw_affiliation_string":"Key Laboratory of Image Processing and Intelligent Control of Education Ministry of China, Huazhong University of Science and Technology, Wuhan, China","institution_ids":["https://openalex.org/I47720641"]},{"raw_affiliation_string":"School of Automation, Huazhong University of Science and Technology, Wuhan, China","institution_ids":["https://openalex.org/I47720641"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5041604044"],"corresponding_institution_ids":["https://openalex.org/I47720641"],"apc_list":null,"apc_paid":null,"fwci":2.5835,"has_fulltext":false,"cited_by_count":25,"citation_normalized_percentile":{"value":0.90772478,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":99},"biblio":{"volume":"51","issue":"1","first_page":"521","last_page":"531"},"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/T10621","display_name":"Gene Regulatory Network Analysis","score":0.984499990940094,"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/T10608","display_name":"Neurogenesis and neuroplasticity mechanisms","score":0.9714999794960022,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6631456613540649},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.6476032137870789},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.6289685964584351},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.6230335831642151},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5613437294960022},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.523221492767334},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5015356540679932},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4996318817138672},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.45030248165130615},{"id":"https://openalex.org/keywords/metric-space","display_name":"Metric space","score":0.42864441871643066},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.27601999044418335},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2744535207748413},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.062378764152526855}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6631456613540649},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.6476032137870789},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.6289685964584351},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.6230335831642151},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5613437294960022},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.523221492767334},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5015356540679932},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4996318817138672},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.45030248165130615},{"id":"https://openalex.org/C198043062","wikidata":"https://www.wikidata.org/wiki/Q180953","display_name":"Metric space","level":2,"score":0.42864441871643066},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.27601999044418335},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2744535207748413},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.062378764152526855},{"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsmc.2018.2876003","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsmc.2018.2876003","pdf_url":null,"source":{"id":"https://openalex.org/S4210209078","display_name":"IEEE Transactions on Systems Man and Cybernetics Systems","issn_l":"2168-2216","issn":["2168-2216","2168-2232"],"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 Systems, Man, and Cybernetics: Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.46000000834465027,"display_name":"Reduced inequalities"}],"awards":[{"id":"https://openalex.org/G2413230818","display_name":null,"funder_award_id":"61821003","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G282535699","display_name":null,"funder_award_id":"2017CFA005","funder_id":"https://openalex.org/F4320327654","funder_display_name":"Foundation for Innovative Research Groups of Hubei Province of China"},{"id":"https://openalex.org/G3476586388","display_name":null,"funder_award_id":"61673188","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4740618463","display_name":null,"funder_award_id":"2018KFYXKJC051","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G7099877325","display_name":null,"funder_award_id":"61761130081","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320327654","display_name":"Foundation for Innovative Research Groups of Hubei Province of China","ror":null},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":50,"referenced_works":["https://openalex.org/W55809570","https://openalex.org/W994053854","https://openalex.org/W1980591088","https://openalex.org/W2010141219","https://openalex.org/W2020500076","https://openalex.org/W2029856343","https://openalex.org/W2039375846","https://openalex.org/W2057553352","https://openalex.org/W2062210787","https://openalex.org/W2072434871","https://openalex.org/W2117288934","https://openalex.org/W2117488025","https://openalex.org/W2121752938","https://openalex.org/W2121973871","https://openalex.org/W2132785512","https://openalex.org/W2142211394","https://openalex.org/W2148418614","https://openalex.org/W2150534501","https://openalex.org/W2167320656","https://openalex.org/W2242903430","https://openalex.org/W2306429512","https://openalex.org/W2325872219","https://openalex.org/W2332379998","https://openalex.org/W2337918798","https://openalex.org/W2400440531","https://openalex.org/W2501351539","https://openalex.org/W2501582773","https://openalex.org/W2505702157","https://openalex.org/W2510991776","https://openalex.org/W2517732433","https://openalex.org/W2520103018","https://openalex.org/W2553445463","https://openalex.org/W2582971624","https://openalex.org/W2587269951","https://openalex.org/W2588173368","https://openalex.org/W2594438135","https://openalex.org/W2612728938","https://openalex.org/W2623937210","https://openalex.org/W2698842465","https://openalex.org/W2733258593","https://openalex.org/W2742969428","https://openalex.org/W2755819577","https://openalex.org/W2762057394","https://openalex.org/W2793208116","https://openalex.org/W2793274122","https://openalex.org/W2808037636","https://openalex.org/W2808731151","https://openalex.org/W2850531805","https://openalex.org/W2887948635","https://openalex.org/W6740742641"],"related_works":["https://openalex.org/W1517908938","https://openalex.org/W2959160600","https://openalex.org/W2281834912","https://openalex.org/W1489941249","https://openalex.org/W3123492739","https://openalex.org/W4320486059","https://openalex.org/W2494168571","https://openalex.org/W2033096984","https://openalex.org/W3121191496","https://openalex.org/W1550676882"],"abstract_inverted_index":{"This":[0],"paper":[1],"investigates":[2],"Cohen-Grossberg":[3],"neural":[4],"networks":[5],"(CGNNs)":[6],"with":[7,37],"unbounded":[8,38],"time-varying":[9,39],"delays.":[10],"The":[11],"existence":[12],"condition":[13],"of":[14,52,64,67,90],"multiple":[15],"equilibrium":[16],"points":[17],"is":[18,30,84],"established":[19],"by":[20,32,49,56],"the":[21,27,42,50,58,61,65,76,88,91],"algebraic":[22,62],"inequality":[23],"method.":[24],"And":[25],"then,":[26],"\u03c8-type":[28,53],"stability":[29],"studied":[31],"analysis":[33],"method":[34],"for":[35,71],"CGNNs":[36],"delays,":[40],"and":[41],"relative":[43],"convergence":[44],"rate":[45],"can":[46],"be":[47],"adjusted":[48],"selection":[51],"functions.":[54],"Moreover,":[55],"introducing":[57],"topological":[59],"degree,":[60],"sum":[63],"number":[66],"equilibria":[68],"remains":[69],"unchanged":[70],"any":[72],"smooth":[73],"function":[74],"in":[75],"specified":[77],"metric":[78],"space.":[79],"Finally,":[80],"one":[81],"numerical":[82],"example":[83],"implemented":[85],"to":[86],"show":[87],"validity":[89],"presented":[92],"results.":[93]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":8},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}