{"id":"https://openalex.org/W2051400538","doi":"https://doi.org/10.2478/s13537-011-0001-5","title":"On the global stability of time delayed CNNs","display_name":"On the global stability of time delayed CNNs","publication_year":2011,"publication_date":"2011-01-01","ids":{"openalex":"https://openalex.org/W2051400538","doi":"https://doi.org/10.2478/s13537-011-0001-5","mag":"2051400538"},"language":"en","primary_location":{"id":"doi:10.2478/s13537-011-0001-5","is_oa":true,"landing_page_url":"https://doi.org/10.2478/s13537-011-0001-5","pdf_url":"https://www.degruyter.com/document/doi/10.2478/s13537-011-0001-5/pdf","source":{"id":"https://openalex.org/S4210177004","display_name":"Open Computer Science","issn_l":"2299-1093","issn":["2299-1093"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Open Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.degruyter.com/document/doi/10.2478/s13537-011-0001-5/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5063997660","display_name":"Athanasios Margaris","orcid":"https://orcid.org/0000-0002-3663-0544"},"institutions":[{"id":"https://openalex.org/I51955386","display_name":"Technological Educational Institute of Thessaly","ror":"https://ror.org/04056ja87","country_code":"GR","type":"education","lineage":["https://openalex.org/I51955386"]}],"countries":["GR"],"is_corresponding":true,"raw_author_name":"Athanasios Margaris","raw_affiliation_strings":["Department of Computer Science and Telecommunications, Technological Educational Institute of Larissa, 411 10, Larissa, Greece","Technological Educational Institute of Larissa"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Telecommunications, Technological Educational Institute of Larissa, 411 10, Larissa, Greece","institution_ids":["https://openalex.org/I51955386"]},{"raw_affiliation_string":"Technological Educational Institute of Larissa","institution_ids":["https://openalex.org/I51955386"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5063997660"],"corresponding_institution_ids":["https://openalex.org/I51955386"],"apc_list":{"value":1000,"currency":"EUR","value_usd":1078},"apc_paid":{"value":1000,"currency":"EUR","value_usd":1078},"fwci":1.4003,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.82164351,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"1","issue":"1","first_page":null,"last_page":null},"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/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9933000206947327,"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"}},{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9879999756813049,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.7575047016143799},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6003819704055786},{"id":"https://openalex.org/keywords/equilibrium-point","display_name":"Equilibrium point","score":0.5806211829185486},{"id":"https://openalex.org/keywords/fixed-point-theorem","display_name":"Fixed-point theorem","score":0.5288509130477905},{"id":"https://openalex.org/keywords/cellular-neural-network","display_name":"Cellular neural network","score":0.5243083238601685},{"id":"https://openalex.org/keywords/section","display_name":"Section (typography)","score":0.500910758972168},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4851832985877991},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.47842007875442505},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.4780628979206085},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4650235176086426},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.46068528294563293},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.42210888862609863},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.4058253765106201},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.35402053594589233},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.3453965485095978},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.20393672585487366},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2016260027885437},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.13311326503753662},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.09936076402664185},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.08160018920898438},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07797682285308838},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.06610697507858276},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06399956345558167},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.06225278973579407}],"concepts":[{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.7575047016143799},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6003819704055786},{"id":"https://openalex.org/C94766913","wikidata":"https://www.wikidata.org/wiki/Q1530271","display_name":"Equilibrium point","level":3,"score":0.5806211829185486},{"id":"https://openalex.org/C45962547","wikidata":"https://www.wikidata.org/wiki/Q1422068","display_name":"Fixed-point theorem","level":2,"score":0.5288509130477905},{"id":"https://openalex.org/C812465","wikidata":"https://www.wikidata.org/wiki/Q5058375","display_name":"Cellular neural network","level":3,"score":0.5243083238601685},{"id":"https://openalex.org/C2780129039","wikidata":"https://www.wikidata.org/wiki/Q1931107","display_name":"Section (typography)","level":2,"score":0.500910758972168},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4851832985877991},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.47842007875442505},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.4780628979206085},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4650235176086426},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.46068528294563293},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.42210888862609863},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.4058253765106201},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.35402053594589233},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.3453965485095978},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.20393672585487366},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2016260027885437},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.13311326503753662},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.09936076402664185},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.08160018920898438},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07797682285308838},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.06610697507858276},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06399956345558167},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.06225278973579407},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","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},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.2478/s13537-011-0001-5","is_oa":true,"landing_page_url":"https://doi.org/10.2478/s13537-011-0001-5","pdf_url":"https://www.degruyter.com/document/doi/10.2478/s13537-011-0001-5/pdf","source":{"id":"https://openalex.org/S4210177004","display_name":"Open Computer Science","issn_l":"2299-1093","issn":["2299-1093"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Open Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:91a41d3f688b47419b364e9a11797e41","is_oa":true,"landing_page_url":"https://doaj.org/article/91a41d3f688b47419b364e9a11797e41","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Open Computer Science, Vol 1, Iss 1, Pp 67-100 (2011)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.2478/s13537-011-0001-5","is_oa":true,"landing_page_url":"https://doi.org/10.2478/s13537-011-0001-5","pdf_url":"https://www.degruyter.com/document/doi/10.2478/s13537-011-0001-5/pdf","source":{"id":"https://openalex.org/S4210177004","display_name":"Open Computer Science","issn_l":"2299-1093","issn":["2299-1093"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Open Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2051400538.pdf","grobid_xml":"https://content.openalex.org/works/W2051400538.grobid-xml"},"referenced_works_count":36,"referenced_works":["https://openalex.org/W1570173134","https://openalex.org/W1842485509","https://openalex.org/W1878611151","https://openalex.org/W1989096664","https://openalex.org/W2004361366","https://openalex.org/W2014431246","https://openalex.org/W2015557701","https://openalex.org/W2029666230","https://openalex.org/W2030710139","https://openalex.org/W2032930628","https://openalex.org/W2035911222","https://openalex.org/W2041715923","https://openalex.org/W2043433264","https://openalex.org/W2052044303","https://openalex.org/W2056717940","https://openalex.org/W2067110518","https://openalex.org/W2081274687","https://openalex.org/W2081874084","https://openalex.org/W2088134599","https://openalex.org/W2107704411","https://openalex.org/W2108517517","https://openalex.org/W2124846783","https://openalex.org/W2132446790","https://openalex.org/W2152189682","https://openalex.org/W2157509201","https://openalex.org/W2159585897","https://openalex.org/W2160121923","https://openalex.org/W2170001575","https://openalex.org/W2170272348","https://openalex.org/W2170790343","https://openalex.org/W2292208776","https://openalex.org/W2612364462","https://openalex.org/W2741715356","https://openalex.org/W2775266064","https://openalex.org/W2963852084","https://openalex.org/W4366819356"],"related_works":["https://openalex.org/W2134075948","https://openalex.org/W1978738522","https://openalex.org/W2095028518","https://openalex.org/W2377228964","https://openalex.org/W2085071341","https://openalex.org/W2361641056","https://openalex.org/W2059311322","https://openalex.org/W2057482994","https://openalex.org/W2152189682","https://openalex.org/W2347889085"],"abstract_inverted_index":{"Abstract":[0],"The":[1],"objective":[2],"of":[3,10,27,31,82],"this":[4],"paper":[5],"is":[6,43],"the":[7,11,21,28,47,60,63,73],"concise":[8],"presentation":[9],"most":[12],"important":[13],"and":[14,17,24,53,72,80],"recent":[15],"lemmas":[16],"theorems":[18,65],"associated":[19],"with":[20],"global":[22],"asymptotic":[23],"exponential":[25],"stability":[26],"equilibrium":[29],"point":[30],"time":[32],"delayed":[33],"cellular":[34],"neural":[35],"networks.":[36],"For":[37],"each":[38],"theorem":[39],"a":[40],"short":[41],"proof":[42],"given,":[44],"so":[45],"that":[46],"reader":[48],"can":[49],"understand":[50],"its":[51,54],"features":[52],"relationships":[55],"to":[56,69,77,88],"other":[57],"theorems.":[58],"In":[59],"last":[61],"section,":[62],"presented":[64],"are":[66,84],"grouped":[67],"according":[68],"their":[70,92],"characteristics":[71],"way":[74],"they":[75],"relate":[76],"one":[78],"another,":[79],"some":[81],"them":[83],"demonstrated,":[85],"in":[86],"order":[87],"draw":[89],"conclusions":[90],"about":[91],"use.":[93]},"counts_by_year":[{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
