{"id":"https://openalex.org/W3194577792","doi":"https://doi.org/10.1109/tnnls.2021.3105591","title":"Delay-Variation-Dependent Criteria on Extended Dissipativity for Discrete-Time Neural Networks With Time-Varying Delay","display_name":"Delay-Variation-Dependent Criteria on Extended Dissipativity for Discrete-Time Neural Networks With Time-Varying Delay","publication_year":2021,"publication_date":"2021-08-27","ids":{"openalex":"https://openalex.org/W3194577792","doi":"https://doi.org/10.1109/tnnls.2021.3105591","mag":"3194577792","pmid":"https://pubmed.ncbi.nlm.nih.gov/34449397"},"language":"en","primary_location":{"id":"doi:10.1109/tnnls.2021.3105591","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2021.3105591","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/A5002870404","display_name":"Xian\u2010Ming Zhang","orcid":"https://orcid.org/0000-0003-0691-5386"},"institutions":[{"id":"https://openalex.org/I57093077","display_name":"Swinburne University of Technology","ror":"https://ror.org/031rekg67","country_code":"AU","type":"education","lineage":["https://openalex.org/I57093077"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"Xian-Ming Zhang","raw_affiliation_strings":["School of Science, Computing and Engineering Technologies, Swinburne University of Technology, Melbourne, VIC, Australia"],"affiliations":[{"raw_affiliation_string":"School of Science, Computing and Engineering Technologies, Swinburne University of Technology, Melbourne, VIC, Australia","institution_ids":["https://openalex.org/I57093077"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083874423","display_name":"Qing\u2010Long Han","orcid":"https://orcid.org/0000-0002-7207-0716"},"institutions":[{"id":"https://openalex.org/I57093077","display_name":"Swinburne University of Technology","ror":"https://ror.org/031rekg67","country_code":"AU","type":"education","lineage":["https://openalex.org/I57093077"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Qing-Long Han","raw_affiliation_strings":["School of Science, Computing and Engineering Technologies, Swinburne University of Technology, Melbourne, VIC, Australia"],"affiliations":[{"raw_affiliation_string":"School of Science, Computing and Engineering Technologies, Swinburne University of Technology, Melbourne, VIC, Australia","institution_ids":["https://openalex.org/I57093077"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102758870","display_name":"Xiaohua Ge","orcid":"https://orcid.org/0000-0003-0180-0897"},"institutions":[{"id":"https://openalex.org/I57093077","display_name":"Swinburne University of Technology","ror":"https://ror.org/031rekg67","country_code":"AU","type":"education","lineage":["https://openalex.org/I57093077"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Xiaohua Ge","raw_affiliation_strings":["School of Science, Computing and Engineering Technologies, Swinburne University of Technology, Melbourne, VIC, Australia"],"affiliations":[{"raw_affiliation_string":"School of Science, Computing and Engineering Technologies, Swinburne University of Technology, Melbourne, VIC, Australia","institution_ids":["https://openalex.org/I57093077"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101629598","display_name":"Bao\u2013Lin Zhang","orcid":"https://orcid.org/0000-0002-0129-5010"},"institutions":[{"id":"https://openalex.org/I143413998","display_name":"Qingdao University of Science and Technology","ror":"https://ror.org/041j8js14","country_code":"CN","type":"education","lineage":["https://openalex.org/I143413998"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Bao-Lin Zhang","raw_affiliation_strings":["College of Automation and Electronic Engineering, Qingdao University of Science and Technology, Qingdao, Shandong, China"],"affiliations":[{"raw_affiliation_string":"College of Automation and Electronic Engineering, Qingdao University of Science and Technology, Qingdao, Shandong, China","institution_ids":["https://openalex.org/I143413998"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5002870404"],"corresponding_institution_ids":["https://openalex.org/I57093077"],"apc_list":null,"apc_paid":null,"fwci":11.1374,"has_fulltext":false,"cited_by_count":83,"citation_normalized_percentile":{"value":0.98782229,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":100},"biblio":{"volume":"34","issue":"3","first_page":"1578","last_page":"1587"},"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/T10502","display_name":"Advanced Memory and Neural Computing","score":0.9973999857902527,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9804999828338623,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/notation","display_name":"Notation","score":0.6589189767837524},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.6169130802154541},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.5625395774841309},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5605077743530273},{"id":"https://openalex.org/keywords/variation","display_name":"Variation (astronomy)","score":0.521741509437561},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5199012160301208},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.5123566389083862},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5034636855125427},{"id":"https://openalex.org/keywords/zero","display_name":"Zero (linguistics)","score":0.4376533329486847},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.4333692193031311},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.4321902394294739},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.368524432182312},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.356897234916687},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.33554261922836304},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3319786787033081},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3246459364891052},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.2185077667236328},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.16164696216583252},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.1568359136581421},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10726115107536316},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.079617440700531}],"concepts":[{"id":"https://openalex.org/C45357846","wikidata":"https://www.wikidata.org/wiki/Q2001982","display_name":"Notation","level":2,"score":0.6589189767837524},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.6169130802154541},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.5625395774841309},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5605077743530273},{"id":"https://openalex.org/C2778334786","wikidata":"https://www.wikidata.org/wiki/Q1586270","display_name":"Variation (astronomy)","level":2,"score":0.521741509437561},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5199012160301208},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.5123566389083862},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5034636855125427},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.4376533329486847},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4333692193031311},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.4321902394294739},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.368524432182312},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.356897234916687},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.33554261922836304},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3319786787033081},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3246459364891052},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.2185077667236328},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.16164696216583252},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.1568359136581421},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10726115107536316},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.079617440700531},{"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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C44870925","wikidata":"https://www.wikidata.org/wiki/Q37547","display_name":"Astrophysics","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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"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.2021.3105591","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2021.3105591","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:34449397","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/34449397","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":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W1539689348","https://openalex.org/W1864738275","https://openalex.org/W1971186708","https://openalex.org/W1978360734","https://openalex.org/W2009706090","https://openalex.org/W2024319750","https://openalex.org/W2039617089","https://openalex.org/W2066931881","https://openalex.org/W2082586573","https://openalex.org/W2153801545","https://openalex.org/W2197304904","https://openalex.org/W2273813901","https://openalex.org/W2474603704","https://openalex.org/W2588223713","https://openalex.org/W2605988318","https://openalex.org/W2757908296","https://openalex.org/W2762478248","https://openalex.org/W2789570622","https://openalex.org/W2796714438","https://openalex.org/W2810315583","https://openalex.org/W2896122684","https://openalex.org/W2897448474","https://openalex.org/W2897673399","https://openalex.org/W2908287814","https://openalex.org/W2991312250","https://openalex.org/W2998574625","https://openalex.org/W3013649770","https://openalex.org/W3014792551","https://openalex.org/W3014803836","https://openalex.org/W3015687126","https://openalex.org/W3021775237","https://openalex.org/W3034136681","https://openalex.org/W3043372711","https://openalex.org/W3044271047","https://openalex.org/W3049147311","https://openalex.org/W3095852388","https://openalex.org/W3111515584","https://openalex.org/W3130601514","https://openalex.org/W6843760862"],"related_works":["https://openalex.org/W2080519218","https://openalex.org/W2589291232","https://openalex.org/W2069603876","https://openalex.org/W2257975156","https://openalex.org/W2353385028","https://openalex.org/W1693001741","https://openalex.org/W2077192697","https://openalex.org/W1543393635","https://openalex.org/W2086237163","https://openalex.org/W2188395359"],"abstract_inverted_index":{"This":[0],"article":[1],"is":[2,28,57,120],"concerned":[3],"with":[4,13,52],"the":[5,17,35,38,71,86,89,125],"extended":[6,29],"dissipativity":[7],"of":[8,37,88,107],"discrete-time":[9,110],"neural":[10],"networks":[11],"(NNs)":[12],"time-varying":[14,90],"delay.":[15],"First,":[16],"necessary":[18],"and":[19,78,92,104],"sufficient":[20],"condition":[21],"on":[22,65,96],"matrix-valued":[23],"polynomial":[24,39],"inequalities":[25],"reported":[26],"recently":[27],"to":[30,43,84,122],"a":[31,48,53,75,108,113,117],"general":[32],"case,":[33],"where":[34],"variable":[36],"does":[40],"not":[41],"need":[42],"start":[44],"from":[45],"zero.":[46],"Second,":[47],"novel":[49,76],"Lyapunov":[50,55,72],"functional":[51,73],"delay-dependent":[54],"matrix":[56],"constructed":[58],"by":[59],"taking":[60],"into":[61],"consideration":[62],"more":[63],"information":[64],"nonlinear":[66],"activation":[67],"functions.":[68],"By":[69],"employing":[70],"method,":[74],"delay":[77,91],"its":[79,93],"variation-dependent":[80],"criterion":[81,127],"are":[82],"obtained":[83],"investigate":[85],"effects":[87],"variation":[94],"rate":[95],"several":[97],"performances,":[98],"such":[99],"as":[100],"H<sub>\u221e</sub>":[101],"performance,":[102,106],"passivity,":[103],"l<sub>2</sub>-l<sub>\u221e</sub>":[105],"delayed":[109],"NN":[111],"in":[112],"unified":[114],"framework.":[115],"Finally,":[116],"numerical":[118],"example":[119],"given":[121],"show":[123],"that":[124],"proposed":[126],"outperforms":[128],"some":[129],"existing":[130],"ones.":[131]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":12},{"year":2024,"cited_by_count":21},{"year":2023,"cited_by_count":28},{"year":2022,"cited_by_count":21}],"updated_date":"2026-03-13T16:22:10.518609","created_date":"2025-10-10T00:00:00"}