{"id":"https://openalex.org/W3198234176","doi":"https://doi.org/10.1109/tnnls.2021.3107427","title":"Stability Analysis of Delayed Recurrent Neural Networks via a Quadratic Matrix Convex Combination Approach","display_name":"Stability Analysis of Delayed Recurrent Neural Networks via a Quadratic Matrix Convex Combination Approach","publication_year":2021,"publication_date":"2021-09-02","ids":{"openalex":"https://openalex.org/W3198234176","doi":"https://doi.org/10.1109/tnnls.2021.3107427","mag":"3198234176","pmid":"https://pubmed.ncbi.nlm.nih.gov/34473635"},"language":"en","primary_location":{"id":"doi:10.1109/tnnls.2021.3107427","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2021.3107427","pdf_url":null,"source":{"id":"https://openalex.org/S4210175523","display_name":"IEEE Transactions on Neural Networks and Learning Systems","issn_l":"2162-237X","issn":["2162-237X","2162-2388"],"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 Neural Networks and Learning Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"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/A5101656245","display_name":"Shasha Xiao","orcid":"https://orcid.org/0009-0006-8510-3181"},"institutions":[{"id":"https://openalex.org/I9224756","display_name":"Northeastern University","ror":"https://ror.org/03awzbc87","country_code":"CN","type":"education","lineage":["https://openalex.org/I9224756"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shasha Xiao","raw_affiliation_strings":["College of Information Science and Engineering, Northeastern University, Shenyang, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Information Science and Engineering, Northeastern University, Shenyang, China","institution_ids":["https://openalex.org/I9224756"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015793382","display_name":"Zhanshan Wang","orcid":"https://orcid.org/0000-0002-6022-4933"},"institutions":[{"id":"https://openalex.org/I9224756","display_name":"Northeastern University","ror":"https://ror.org/03awzbc87","country_code":"CN","type":"education","lineage":["https://openalex.org/I9224756"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhanshan Wang","raw_affiliation_strings":["College of Information Science and Engineering, Northeastern University, Shenyang, China"],"raw_orcid":"https://orcid.org/0000-0002-6022-4933","affiliations":[{"raw_affiliation_string":"College of Information Science and Engineering, Northeastern University, Shenyang, China","institution_ids":["https://openalex.org/I9224756"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5058522800","display_name":"Yufeng Tian","orcid":"https://orcid.org/0000-0002-9065-8636"},"institutions":[{"id":"https://openalex.org/I9224756","display_name":"Northeastern University","ror":"https://ror.org/03awzbc87","country_code":"CN","type":"education","lineage":["https://openalex.org/I9224756"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yufeng Tian","raw_affiliation_strings":["College of Information Science and Engineering, Northeastern University, Shenyang, China"],"raw_orcid":"https://orcid.org/0000-0002-9065-8636","affiliations":[{"raw_affiliation_string":"College of Information Science and Engineering, Northeastern University, Shenyang, China","institution_ids":["https://openalex.org/I9224756"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I9224756"],"apc_list":null,"apc_paid":null,"fwci":2.2452,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.88428699,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":99},"biblio":{"volume":"34","issue":"6","first_page":"3220","last_page":"3225"},"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9973000288009644,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5277106165885925},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5255992412567139},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.5188561677932739},{"id":"https://openalex.org/keywords/convex-combination","display_name":"Convex combination","score":0.4967091679573059},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4895366132259369},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.4886181950569153},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.4807712435722351},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.33552178740501404},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3328089118003845},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.30266112089157104},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.28018492460250854},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.20097526907920837},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.10147371888160706},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.07019272446632385}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5277106165885925},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5255992412567139},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5188561677932739},{"id":"https://openalex.org/C111110010","wikidata":"https://www.wikidata.org/wiki/Q2627315","display_name":"Convex combination","level":4,"score":0.4967091679573059},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4895366132259369},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.4886181950569153},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4807712435722351},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.33552178740501404},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3328089118003845},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.30266112089157104},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.28018492460250854},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.20097526907920837},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.10147371888160706},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.07019272446632385},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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":2,"locations":[{"id":"doi:10.1109/tnnls.2021.3107427","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2021.3107427","pdf_url":null,"source":{"id":"https://openalex.org/S4210175523","display_name":"IEEE Transactions on Neural Networks and Learning Systems","issn_l":"2162-237X","issn":["2162-237X","2162-2388"],"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 Neural Networks and Learning Systems","raw_type":"journal-article"},{"id":"pmid:34473635","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/34473635","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on neural networks and learning systems","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3702826404","display_name":null,"funder_award_id":"61973070","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6998233129","display_name":null,"funder_award_id":"XLYC1802010","funder_id":"https://openalex.org/F4320329895","funder_display_name":"Liaoning Revitalization Talents Program"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320329895","display_name":"Liaoning Revitalization Talents Program","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W1506119886","https://openalex.org/W1562895369","https://openalex.org/W1963839355","https://openalex.org/W1965632565","https://openalex.org/W1974031204","https://openalex.org/W1993920342","https://openalex.org/W1999808555","https://openalex.org/W2031673504","https://openalex.org/W2037686415","https://openalex.org/W2101879828","https://openalex.org/W2117976551","https://openalex.org/W2120696396","https://openalex.org/W2121058879","https://openalex.org/W2147560873","https://openalex.org/W2194523473","https://openalex.org/W2323601037","https://openalex.org/W2368784730","https://openalex.org/W2410966350","https://openalex.org/W2474603704","https://openalex.org/W2515454492","https://openalex.org/W2521394486","https://openalex.org/W2588223713","https://openalex.org/W2793580504","https://openalex.org/W2893369672","https://openalex.org/W2919034902","https://openalex.org/W2940514219","https://openalex.org/W2945796628","https://openalex.org/W2963086459","https://openalex.org/W3005086795","https://openalex.org/W3005874366","https://openalex.org/W3044422455","https://openalex.org/W3046979149","https://openalex.org/W3083792873","https://openalex.org/W3123266474"],"related_works":["https://openalex.org/W4292026839","https://openalex.org/W1966034175","https://openalex.org/W2038392758","https://openalex.org/W3036437122","https://openalex.org/W2073208587","https://openalex.org/W2000297171","https://openalex.org/W4311655097","https://openalex.org/W1883388834","https://openalex.org/W2941078816","https://openalex.org/W940406003"],"abstract_inverted_index":{"This":[0],"brief":[1],"addresses":[2],"the":[3,20,36,43,61,132,143],"stability":[4,123],"analysis":[5],"problem":[6],"of":[7,10,23,145],"a":[8,93,122],"class":[9],"delayed":[11],"recurrent":[12],"neural":[13],"networks":[14],"(DRNNs).":[15],"In":[16,47],"previously":[17],"published":[18],"studies,":[19],"slope":[21,32,62,118],"information":[22,33,63,68,119],"activation":[24,73],"function":[25,74],"(SIAF)":[26],"is":[27,77,99,128],"just":[28],"reflected":[29],"in":[30],"three":[31],"matrices,":[34],"i.e.,":[35],"upper":[37],"and":[38,42],"lower":[39],"boundary":[40],"matrices":[41],"maximum":[44],"norm":[45],"matrix.":[46],"practice,":[48],"there":[49],"are":[50,139],"<inline-formula":[51,81,103,111],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[52,82,104,112],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">":[53,83,105,113],"<tex-math":[54,84,106,114],"notation=\"LaTeX\">$2^{n}$":[55,115],"</tex-math></inline-formula>":[56,86,108,116],"possible":[57],"combination":[58,97,117],"cases":[59],"on":[60,131],"matrices.":[64,120],"To":[65],"exploit":[66],"more":[67],"about":[69],"SIAF,":[70],"first,":[71],"an":[72],"separation":[75],"method":[76],"proposed":[78,100,133],"to":[79,101,141],"derive":[80],"notation=\"LaTeX\">$n$":[85,107],"slope-information-based":[87],"uncertainties":[88],"(SIBUs)":[89],"containing":[90],"SIAF;":[91],"second,":[92],"quadratic":[94],"matrix":[95],"convex":[96],"approach":[98],"dispose":[102],"SIBUs":[109],"using":[110],"Third,":[121],"criterion":[124],"with":[125],"less":[126],"conservatism":[127],"established":[129],"based":[130],"approach.":[134],"Finally,":[135],"two":[136],"simulation":[137],"examples":[138],"used":[140],"testify":[142],"validity":[144],"theoretical":[146],"results.":[147]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":10}],"updated_date":"2026-06-26T08:34:08.712188","created_date":"2025-10-10T00:00:00"}