{"id":"https://openalex.org/W4291302281","doi":"https://doi.org/10.1007/978-3-031-13870-6_13","title":"Stability Analysis of Hopfield Neural Networks with Conformable Fractional Derivative: M-matrix Method","display_name":"Stability Analysis of Hopfield Neural Networks with Conformable Fractional Derivative: M-matrix Method","publication_year":2022,"publication_date":"2022-01-01","ids":{"openalex":"https://openalex.org/W4291302281","doi":"https://doi.org/10.1007/978-3-031-13870-6_13"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-031-13870-6_13","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-031-13870-6_13","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5100639741","display_name":"Chang-Bo Yang","orcid":"https://orcid.org/0000-0001-9914-4861"},"institutions":[{"id":"https://openalex.org/I26080491","display_name":"Kunming Medical University","ror":"https://ror.org/038c3w259","country_code":"CN","type":"education","lineage":["https://openalex.org/I26080491"]},{"id":"https://openalex.org/I189210763","display_name":"Yunnan University","ror":"https://ror.org/0040axw97","country_code":"CN","type":"education","lineage":["https://openalex.org/I189210763"]},{"id":"https://openalex.org/I146071755","display_name":"Kunming University","ror":"https://ror.org/035rhx828","country_code":"CN","type":"education","lineage":["https://openalex.org/I146071755"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Chang-bo Yang","raw_affiliation_strings":["Institute of Nonlinear Analysis, Kunming University, Kunming, 650214, Yunnan, People\u2019s Republic of China","School of Physics and Astronomy, Yunnan University, Kunming, 650500, Yunnan, People\u2019s Republic of China","Institute of Nonlinear Analysis, Kunming University, Kunming, 650214, Yunnan, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"Institute of Nonlinear Analysis, Kunming University, Kunming, 650214, Yunnan, People\u2019s Republic of China","institution_ids":["https://openalex.org/I146071755","https://openalex.org/I26080491"]},{"raw_affiliation_string":"School of Physics and Astronomy, Yunnan University, Kunming, 650500, Yunnan, People\u2019s Republic of China","institution_ids":["https://openalex.org/I189210763"]},{"raw_affiliation_string":"Institute of Nonlinear Analysis, Kunming University, Kunming, 650214, Yunnan, People's Republic of China","institution_ids":["https://openalex.org/I146071755"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026016002","display_name":"Sun-yan Hong","orcid":null},"institutions":[{"id":"https://openalex.org/I146071755","display_name":"Kunming University","ror":"https://ror.org/035rhx828","country_code":"CN","type":"education","lineage":["https://openalex.org/I146071755"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Sun-yan Hong","raw_affiliation_strings":["School of Information Engineering, Kunming University, Kunming, 650214, Yunnan, People\u2019s Republic of China","School of Information Engineering, Kunming University, Kunming, 650214, Yunnan, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Information Engineering, Kunming University, Kunming, 650214, Yunnan, People\u2019s Republic of China","institution_ids":["https://openalex.org/I146071755"]},{"raw_affiliation_string":"School of Information Engineering, Kunming University, Kunming, 650214, Yunnan, People's Republic of China","institution_ids":["https://openalex.org/I146071755"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101897217","display_name":"Yaqin Li","orcid":"https://orcid.org/0000-0001-8350-6207"},"institutions":[{"id":"https://openalex.org/I26080491","display_name":"Kunming Medical University","ror":"https://ror.org/038c3w259","country_code":"CN","type":"education","lineage":["https://openalex.org/I26080491"]},{"id":"https://openalex.org/I146071755","display_name":"Kunming University","ror":"https://ror.org/035rhx828","country_code":"CN","type":"education","lineage":["https://openalex.org/I146071755"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ya-qin Li","raw_affiliation_strings":["Institute of Nonlinear Analysis, Kunming University, Kunming, 650214, Yunnan, People\u2019s Republic of China","Institute of Nonlinear Analysis, Kunming University, Kunming, 650214, Yunnan, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"Institute of Nonlinear Analysis, Kunming University, Kunming, 650214, Yunnan, People\u2019s Republic of China","institution_ids":["https://openalex.org/I146071755","https://openalex.org/I26080491"]},{"raw_affiliation_string":"Institute of Nonlinear Analysis, Kunming University, Kunming, 650214, Yunnan, People's Republic of China","institution_ids":["https://openalex.org/I146071755"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067328336","display_name":"Huimei Wang","orcid":"https://orcid.org/0000-0002-0726-2850"},"institutions":[{"id":"https://openalex.org/I26080491","display_name":"Kunming Medical University","ror":"https://ror.org/038c3w259","country_code":"CN","type":"education","lineage":["https://openalex.org/I26080491"]},{"id":"https://openalex.org/I146071755","display_name":"Kunming University","ror":"https://ror.org/035rhx828","country_code":"CN","type":"education","lineage":["https://openalex.org/I146071755"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hui-mei Wang","raw_affiliation_strings":["Institute of Nonlinear Analysis, Kunming University, Kunming, 650214, Yunnan, People\u2019s Republic of China","Institute of Nonlinear Analysis, Kunming University, Kunming, 650214, Yunnan, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"Institute of Nonlinear Analysis, Kunming University, Kunming, 650214, Yunnan, People\u2019s Republic of China","institution_ids":["https://openalex.org/I146071755","https://openalex.org/I26080491"]},{"raw_affiliation_string":"Institute of Nonlinear Analysis, Kunming University, Kunming, 650214, Yunnan, People's Republic of China","institution_ids":["https://openalex.org/I146071755"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100434309","display_name":"Yan Zhu","orcid":"https://orcid.org/0000-0002-1884-2404"},"institutions":[{"id":"https://openalex.org/I26080491","display_name":"Kunming Medical University","ror":"https://ror.org/038c3w259","country_code":"CN","type":"education","lineage":["https://openalex.org/I26080491"]},{"id":"https://openalex.org/I146071755","display_name":"Kunming University","ror":"https://ror.org/035rhx828","country_code":"CN","type":"education","lineage":["https://openalex.org/I146071755"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yan Zhu","raw_affiliation_strings":["Institute of Nonlinear Analysis, Kunming University, Kunming, 650214, Yunnan, People\u2019s Republic of China","Institute of Nonlinear Analysis, Kunming University, Kunming, 650214, Yunnan, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"Institute of Nonlinear Analysis, Kunming University, Kunming, 650214, Yunnan, People\u2019s Republic of China","institution_ids":["https://openalex.org/I146071755","https://openalex.org/I26080491"]},{"raw_affiliation_string":"Institute of Nonlinear Analysis, Kunming University, Kunming, 650214, Yunnan, People's Republic of China","institution_ids":["https://openalex.org/I146071755"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5100639741"],"corresponding_institution_ids":["https://openalex.org/I146071755","https://openalex.org/I189210763","https://openalex.org/I26080491"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.25398313,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"159","last_page":"167"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9979000091552734,"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":0.9950000047683716,"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/conformable-matrix","display_name":"Conformable matrix","score":0.9135764837265015},{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.7692632675170898},{"id":"https://openalex.org/keywords/equilibrium-point","display_name":"Equilibrium point","score":0.6353803873062134},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.6011806726455688},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5997541546821594},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5865059494972229},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.5460264682769775},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5436164736747742},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.537463903427124},{"id":"https://openalex.org/keywords/hopfield-network","display_name":"Hopfield network","score":0.46937039494514465},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4316464066505432},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.4152787923812866},{"id":"https://openalex.org/keywords/derivative","display_name":"Derivative (finance)","score":0.4124978184700012},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.35236847400665283},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3374333381652832},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.17265477776527405},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.16339421272277832},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.1233619749546051}],"concepts":[{"id":"https://openalex.org/C86072612","wikidata":"https://www.wikidata.org/wiki/Q5160239","display_name":"Conformable matrix","level":2,"score":0.9135764837265015},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.7692632675170898},{"id":"https://openalex.org/C94766913","wikidata":"https://www.wikidata.org/wiki/Q1530271","display_name":"Equilibrium point","level":3,"score":0.6353803873062134},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.6011806726455688},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5997541546821594},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5865059494972229},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.5460264682769775},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5436164736747742},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.537463903427124},{"id":"https://openalex.org/C46421273","wikidata":"https://www.wikidata.org/wiki/Q1407668","display_name":"Hopfield network","level":3,"score":0.46937039494514465},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4316464066505432},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.4152787923812866},{"id":"https://openalex.org/C111771559","wikidata":"https://www.wikidata.org/wiki/Q66295","display_name":"Derivative (finance)","level":2,"score":0.4124978184700012},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.35236847400665283},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3374333381652832},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.17265477776527405},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.16339421272277832},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.1233619749546051},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.0},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","level":1,"score":0.0},{"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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-031-13870-6_13","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-031-13870-6_13","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W53791606","https://openalex.org/W1488435683","https://openalex.org/W1500479975","https://openalex.org/W1597286183","https://openalex.org/W2009314399","https://openalex.org/W2020625830","https://openalex.org/W2022184978","https://openalex.org/W2051609282","https://openalex.org/W2053751819","https://openalex.org/W2063067239","https://openalex.org/W2128084896","https://openalex.org/W2128332575","https://openalex.org/W2150534501","https://openalex.org/W2320122376","https://openalex.org/W2472805732","https://openalex.org/W2582971624","https://openalex.org/W3165477962","https://openalex.org/W4206392662"],"related_works":["https://openalex.org/W1978738522","https://openalex.org/W2095028518","https://openalex.org/W2377228964","https://openalex.org/W3155948823","https://openalex.org/W2059311322","https://openalex.org/W2168383058","https://openalex.org/W1864017312","https://openalex.org/W1494567074","https://openalex.org/W2069206870","https://openalex.org/W1521770409"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}