{"id":"https://openalex.org/W2808580444","doi":"https://doi.org/10.1109/icaci.2018.8377513","title":"Multiple Mittag-Leffler stability of fractional-order Cohen-Grossberg neural networks with non-monotonic piecewise linear activation functions","display_name":"Multiple Mittag-Leffler stability of fractional-order Cohen-Grossberg neural networks with non-monotonic piecewise linear activation functions","publication_year":2018,"publication_date":"2018-03-01","ids":{"openalex":"https://openalex.org/W2808580444","doi":"https://doi.org/10.1109/icaci.2018.8377513","mag":"2808580444"},"language":"en","primary_location":{"id":"doi:10.1109/icaci.2018.8377513","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icaci.2018.8377513","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 Tenth International Conference on Advanced Computational Intelligence (ICACI)","raw_type":"proceedings-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/A5100716367","display_name":"Jixiang Zhang","orcid":"https://orcid.org/0009-0009-4555-6735"},"institutions":[{"id":"https://openalex.org/I4210165606","display_name":"Hubei Normal University","ror":"https://ror.org/056y3dw16","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210165606"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jixiang Zhang","raw_affiliation_strings":["College of Mathematics and Statistics, Hubei Normal University, Huangshi, China"],"affiliations":[{"raw_affiliation_string":"College of Mathematics and Statistics, Hubei Normal University, Huangshi, China","institution_ids":["https://openalex.org/I4210165606"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5016938673","display_name":"Yi Xiang","orcid":"https://orcid.org/0000-0002-3192-0948"},"institutions":[{"id":"https://openalex.org/I4210165606","display_name":"Hubei Normal University","ror":"https://ror.org/056y3dw16","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210165606"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yi Xiang","raw_affiliation_strings":["College of Mathematics and Statistics, Hubei Normal University, Huangshi, China"],"affiliations":[{"raw_affiliation_string":"College of Mathematics and Statistics, Hubei Normal University, Huangshi, China","institution_ids":["https://openalex.org/I4210165606"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5025353485","display_name":"Nengjie Wang","orcid":null},"institutions":[{"id":"https://openalex.org/I4210165606","display_name":"Hubei Normal University","ror":"https://ror.org/056y3dw16","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210165606"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Nengjie Wang","raw_affiliation_strings":["College of Mathematics and Statistics, Hubei Normal University, Huangshi, China"],"affiliations":[{"raw_affiliation_string":"College of Mathematics and Statistics, Hubei Normal University, Huangshi, China","institution_ids":["https://openalex.org/I4210165606"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100716367"],"corresponding_institution_ids":["https://openalex.org/I4210165606"],"apc_list":null,"apc_paid":null,"fwci":0.7381,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.74089132,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"25","issue":null,"first_page":"520","last_page":"527"},"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":0.9909999966621399,"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9775999784469604,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/monotonic-function","display_name":"Monotonic function","score":0.7808469533920288},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.6499696969985962},{"id":"https://openalex.org/keywords/activation-function","display_name":"Activation function","score":0.6076676845550537},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.5771921277046204},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5753300786018372},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.5617252588272095},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.5586289167404175},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5463481545448303},{"id":"https://openalex.org/keywords/piecewise-linear-function","display_name":"Piecewise linear function","score":0.5200861692428589},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4913875162601471},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4817240536212921},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.465785413980484},{"id":"https://openalex.org/keywords/equilibrium-point","display_name":"Equilibrium point","score":0.4171907901763916},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.40680789947509766},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3642116189002991},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.36308324337005615},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.29535138607025146},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.27506715059280396},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.18376478552818298},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.07365307211875916}],"concepts":[{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.7808469533920288},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.6499696969985962},{"id":"https://openalex.org/C38365724","wikidata":"https://www.wikidata.org/wiki/Q4677469","display_name":"Activation function","level":3,"score":0.6076676845550537},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.5771921277046204},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5753300786018372},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.5617252588272095},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.5586289167404175},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5463481545448303},{"id":"https://openalex.org/C17095337","wikidata":"https://www.wikidata.org/wiki/Q2375229","display_name":"Piecewise linear function","level":2,"score":0.5200861692428589},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4913875162601471},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4817240536212921},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.465785413980484},{"id":"https://openalex.org/C94766913","wikidata":"https://www.wikidata.org/wiki/Q1530271","display_name":"Equilibrium point","level":3,"score":0.4171907901763916},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.40680789947509766},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3642116189002991},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.36308324337005615},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.29535138607025146},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.27506715059280396},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.18376478552818298},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.07365307211875916},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","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/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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icaci.2018.8377513","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icaci.2018.8377513","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 Tenth International Conference on Advanced Computational Intelligence (ICACI)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W55809570","https://openalex.org/W1500921805","https://openalex.org/W1931775713","https://openalex.org/W1975003303","https://openalex.org/W1984796440","https://openalex.org/W2020625830","https://openalex.org/W2022371674","https://openalex.org/W2023073839","https://openalex.org/W2039375846","https://openalex.org/W2043345530","https://openalex.org/W2056717940","https://openalex.org/W2067002012","https://openalex.org/W2078578402","https://openalex.org/W2088263281","https://openalex.org/W2102432893","https://openalex.org/W2106754783","https://openalex.org/W2111543721","https://openalex.org/W2147514436","https://openalex.org/W2167103232","https://openalex.org/W2204225973","https://openalex.org/W2344959117","https://openalex.org/W2531970363","https://openalex.org/W2582971624","https://openalex.org/W2594234726"],"related_works":["https://openalex.org/W3110577345","https://openalex.org/W2077314575","https://openalex.org/W4315701745","https://openalex.org/W1990290471","https://openalex.org/W2946235959","https://openalex.org/W4376632866","https://openalex.org/W2981858362","https://openalex.org/W3112352841","https://openalex.org/W4224215271","https://openalex.org/W1827695239"],"abstract_inverted_index":{"This":[0],"paper":[1],"take":[2],"into":[3],"account":[4],"multiple":[5,21],"Mittag-Leffler":[6,45],"stability":[7,46],"of":[8,41,50,54,96],"neural":[9,68],"networks":[10,69],"with":[11,70,81],"non-monotonic":[12,71],"piecewise":[13],"linear":[14,72],"activation":[15,73,83],"functions.":[16],"We":[17],"have":[18],"set":[19],"up":[20],"sufficient":[22],"conditions":[23],"in":[24],"order":[25],"to":[26,90],"find":[27],"out":[28],"5":[29],"<sup":[30,36],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[31,37],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">n</sup>":[32,38],",":[33],"and":[34,59,92],"3":[35],"equilibrium":[39],"points":[40],"which":[42],"is":[43,88],"local":[44],"by":[47],"making":[48],"use":[49],"the":[51,79,94,97],"related":[52],"knowledge":[53],"fractional-order":[55],"ordinary":[56],"differential":[57],"equations":[58],"fixed":[60],"point":[61],"theorem,":[62],"non-smooth":[63],"analysis":[64],"knowledge.":[65],"Fractional-order":[66],"Cohen-Grossberg":[67],"functions":[74],"possesses":[75],"greater":[76],"capacity":[77],"than":[78],"ones":[80],"Mexican-hat-type":[82],"function.":[84],"A":[85],"numerical":[86],"example":[87],"manufactured":[89],"test":[91],"verify":[93],"authenticity":[95],"theoretical":[98],"results.":[99]},"counts_by_year":[{"year":2021,"cited_by_count":3},{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
