{"id":"https://openalex.org/W7127049357","doi":"https://doi.org/10.1007/s10462-026-11500-1","title":"Theory, development, and applications of zeroing neural network: a review","display_name":"Theory, development, and applications of zeroing neural network: a review","publication_year":2026,"publication_date":"2026-02-01","ids":{"openalex":"https://openalex.org/W7127049357","doi":"https://doi.org/10.1007/s10462-026-11500-1"},"language":"en","primary_location":{"id":"doi:10.1007/s10462-026-11500-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10462-026-11500-1","pdf_url":null,"source":{"id":"https://openalex.org/S122814990","display_name":"Artificial Intelligence Review","issn_l":"0269-2821","issn":["0269-2821","1573-7462"],"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":"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":"Artificial Intelligence Review","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1007/s10462-026-11500-1","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5124745896","display_name":"Xiyuan Zhang","orcid":null},"institutions":[{"id":"https://openalex.org/I20942203","display_name":"Hainan University","ror":"https://ror.org/03q648j11","country_code":"CN","type":"education","lineage":["https://openalex.org/I20942203"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiyuan Zhang","raw_affiliation_strings":["School of Information and Communication Engineering, Hainan University, Haikou, China"],"affiliations":[{"raw_affiliation_string":"School of Information and Communication Engineering, Hainan University, Haikou, China","institution_ids":["https://openalex.org/I20942203"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5124699688","display_name":"Wenjie Yuan","orcid":null},"institutions":[{"id":"https://openalex.org/I20942203","display_name":"Hainan University","ror":"https://ror.org/03q648j11","country_code":"CN","type":"education","lineage":["https://openalex.org/I20942203"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wenjie Yuan","raw_affiliation_strings":["School of Information and Communication Engineering, Hainan University, Haikou, China"],"affiliations":[{"raw_affiliation_string":"School of Information and Communication Engineering, Hainan University, Haikou, China","institution_ids":["https://openalex.org/I20942203"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5124696188","display_name":"Jifan Yang","orcid":null},"institutions":[{"id":"https://openalex.org/I20942203","display_name":"Hainan University","ror":"https://ror.org/03q648j11","country_code":"CN","type":"education","lineage":["https://openalex.org/I20942203"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jifan Yang","raw_affiliation_strings":["School of Information and Communication Engineering, Hainan University, Haikou, China"],"affiliations":[{"raw_affiliation_string":"School of Information and Communication Engineering, Hainan University, Haikou, China","institution_ids":["https://openalex.org/I20942203"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5124700514","display_name":"Kai Tang","orcid":null},"institutions":[{"id":"https://openalex.org/I20942203","display_name":"Hainan University","ror":"https://ror.org/03q648j11","country_code":"CN","type":"education","lineage":["https://openalex.org/I20942203"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Kai Tang","raw_affiliation_strings":["School of Information and Communication Engineering, Hainan University, Haikou, China"],"affiliations":[{"raw_affiliation_string":"School of Information and Communication Engineering, Hainan University, Haikou, China","institution_ids":["https://openalex.org/I20942203"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5124735419","display_name":"Dongsheng Guo","orcid":null},"institutions":[{"id":"https://openalex.org/I20942203","display_name":"Hainan University","ror":"https://ror.org/03q648j11","country_code":"CN","type":"education","lineage":["https://openalex.org/I20942203"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Dongsheng Guo","raw_affiliation_strings":["School of Information and Communication Engineering, Hainan University, Haikou, China"],"affiliations":[{"raw_affiliation_string":"School of Information and Communication Engineering, Hainan University, Haikou, China","institution_ids":["https://openalex.org/I20942203"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5124735419"],"corresponding_institution_ids":["https://openalex.org/I20942203"],"apc_list":{"value":2490,"currency":"EUR","value_usd":3090},"apc_paid":{"value":2490,"currency":"EUR","value_usd":3090},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.24635869,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"59","issue":"3","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12676","display_name":"Machine Learning and ELM","score":0.26579999923706055,"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"}},"topics":[{"id":"https://openalex.org/T12676","display_name":"Machine Learning and ELM","score":0.26579999923706055,"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/T10320","display_name":"Neural Networks and Applications","score":0.2624000012874603,"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/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.12070000171661377,"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/core","display_name":"Core (optical fiber)","score":0.45339998602867126},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.451200008392334},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.42250001430511475},{"id":"https://openalex.org/keywords/basic-research","display_name":"Basic research","score":0.24889999628067017}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7662000060081482},{"id":"https://openalex.org/C188147891","wikidata":"https://www.wikidata.org/wiki/Q147638","display_name":"Cognitive science","level":1,"score":0.47029998898506165},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4544000029563904},{"id":"https://openalex.org/C2164484","wikidata":"https://www.wikidata.org/wiki/Q5170150","display_name":"Core (optical fiber)","level":2,"score":0.45339998602867126},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.451200008392334},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.42250001430511475},{"id":"https://openalex.org/C539667460","wikidata":"https://www.wikidata.org/wiki/Q2414942","display_name":"Management science","level":1,"score":0.35830000042915344},{"id":"https://openalex.org/C112930515","wikidata":"https://www.wikidata.org/wiki/Q4389547","display_name":"Risk analysis (engineering)","level":1,"score":0.2676999866962433},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.25679999589920044},{"id":"https://openalex.org/C2986762682","wikidata":"https://www.wikidata.org/wiki/Q964754","display_name":"Basic research","level":2,"score":0.24889999628067017}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10462-026-11500-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10462-026-11500-1","pdf_url":null,"source":{"id":"https://openalex.org/S122814990","display_name":"Artificial Intelligence Review","issn_l":"0269-2821","issn":["0269-2821","1573-7462"],"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":"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":"Artificial Intelligence Review","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s10462-026-11500-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10462-026-11500-1","pdf_url":null,"source":{"id":"https://openalex.org/S122814990","display_name":"Artificial Intelligence Review","issn_l":"0269-2821","issn":["0269-2821","1573-7462"],"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":"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":"Artificial Intelligence Review","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.46670597791671753,"id":"https://metadata.un.org/sdg/9","display_name":"Industry, innovation and infrastructure"}],"awards":[{"id":"https://openalex.org/G1348177293","display_name":null,"funder_award_id":"62463004","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":118,"referenced_works":["https://openalex.org/W238710233","https://openalex.org/W605390454","https://openalex.org/W1974942521","https://openalex.org/W2002352814","https://openalex.org/W2003162446","https://openalex.org/W2041062006","https://openalex.org/W2051969395","https://openalex.org/W2061619613","https://openalex.org/W2064135467","https://openalex.org/W2080532287","https://openalex.org/W2093627685","https://openalex.org/W2192374652","https://openalex.org/W2462332821","https://openalex.org/W2493842963","https://openalex.org/W2586662914","https://openalex.org/W2732094339","https://openalex.org/W2751821088","https://openalex.org/W2753056613","https://openalex.org/W2754322505","https://openalex.org/W2764226165","https://openalex.org/W2772861103","https://openalex.org/W2793896496","https://openalex.org/W2793953252","https://openalex.org/W2794096129","https://openalex.org/W2794132121","https://openalex.org/W2803759966","https://openalex.org/W2887191391","https://openalex.org/W2896377848","https://openalex.org/W2897448795","https://openalex.org/W2911281195","https://openalex.org/W2911835134","https://openalex.org/W2930423779","https://openalex.org/W2941887520","https://openalex.org/W2944078072","https://openalex.org/W2945488196","https://openalex.org/W2963227373","https://openalex.org/W2963694961","https://openalex.org/W2980066546","https://openalex.org/W3005162187","https://openalex.org/W3012462771","https://openalex.org/W3018393815","https://openalex.org/W3027535975","https://openalex.org/W3041754645","https://openalex.org/W3093347455","https://openalex.org/W3113585697","https://openalex.org/W3118403460","https://openalex.org/W3127512720","https://openalex.org/W3129982515","https://openalex.org/W3165417076","https://openalex.org/W3165755637","https://openalex.org/W3173642791","https://openalex.org/W3198045838","https://openalex.org/W4205144960","https://openalex.org/W4282569662","https://openalex.org/W4282924228","https://openalex.org/W4291115055","https://openalex.org/W4293827779","https://openalex.org/W4312608988","https://openalex.org/W4316039491","https://openalex.org/W4319792468","https://openalex.org/W4320038897","https://openalex.org/W4320496683","https://openalex.org/W4323359737","https://openalex.org/W4362692863","https://openalex.org/W4366683253","https://openalex.org/W4377971431","https://openalex.org/W4382459556","https://openalex.org/W4386702785","https://openalex.org/W4386702990","https://openalex.org/W4387410852","https://openalex.org/W4389762816","https://openalex.org/W4391147904","https://openalex.org/W4391640562","https://openalex.org/W4391892527","https://openalex.org/W4392901707","https://openalex.org/W4396217991","https://openalex.org/W4396712995","https://openalex.org/W4396877761","https://openalex.org/W4399411203","https://openalex.org/W4399995425","https://openalex.org/W4400335439","https://openalex.org/W4400748616","https://openalex.org/W4400959538","https://openalex.org/W4401022413","https://openalex.org/W4401162904","https://openalex.org/W4401210954","https://openalex.org/W4401344988","https://openalex.org/W4401417777","https://openalex.org/W4401507722","https://openalex.org/W4401560161","https://openalex.org/W4401567250","https://openalex.org/W4401607912","https://openalex.org/W4401634044","https://openalex.org/W4403022214","https://openalex.org/W4403210743","https://openalex.org/W4403826457","https://openalex.org/W4404039641","https://openalex.org/W4404290590","https://openalex.org/W4404516812","https://openalex.org/W4404748460","https://openalex.org/W4405024427","https://openalex.org/W4405098786","https://openalex.org/W4405415009","https://openalex.org/W4405488422","https://openalex.org/W4405861933","https://openalex.org/W4406028284","https://openalex.org/W4406117431","https://openalex.org/W4406229963","https://openalex.org/W4406272752","https://openalex.org/W4407056228","https://openalex.org/W4407450013","https://openalex.org/W4408309804","https://openalex.org/W4408399684","https://openalex.org/W4409916759","https://openalex.org/W4410736071","https://openalex.org/W4412803087","https://openalex.org/W4413203041","https://openalex.org/W4413626503"],"related_works":[],"abstract_inverted_index":{"The":[0,63],"zeroing":[1],"neural":[2],"network":[3],"(ZNN)":[4],"possesses":[5],"core":[6,50],"characteristics":[7],"such":[8],"as":[9],"a":[10,38,60],"simple":[11],"architecture":[12],"and":[13,25,69,79,89,102,120,128],"fast":[14],"response":[15],"speed.":[16],"These":[17],"advantages":[18],"have":[19],"earned":[20],"it":[21],"widespread":[22],"research":[23,118],"attention":[24],"spurred":[26],"the":[27,49,85,109],"generation":[28],"of":[29,52,65],"high-quality":[30],"outcomes":[31],"in":[32,94],"related":[33],"studies.":[34],"This":[35],"paper":[36,86,107],"presents":[37],"comprehensive":[39],"introduction":[40],"to":[41,126],"ZNN.":[42,130],"It":[43],"begins":[44],"with":[45],"an":[46,70],"elaboration":[47],"on":[48,75],"principles":[51],"ZNN,":[53,114],"clarifying":[54],"its":[55],"underlying":[56],"operational":[57],"mechanisms":[58],"from":[59],"theoretical":[61],"perspective.":[62],"evolution":[64],"ZNN":[66,77,81],"is":[67,73],"discussed,":[68],"in-depth":[71],"analysis":[72],"conducted":[74],"continuous-time":[76],"(CTZNN)":[78],"discrete-time":[80],"(DTZNN)":[82],"respectively.":[83],"Subsequently,":[84],"systematically":[87],"reviews":[88],"summarizes":[90,108],"ZNN\u2019s":[91],"application":[92],"practices":[93],"various":[95],"fields,":[96],"including":[97],"mathematical":[98],"applications,":[99],"robot":[100],"control,":[101],"image":[103],"processing.":[104],"Finally,":[105],"this":[106],"current":[110],"challenges":[111],"faced":[112],"by":[113],"proposes":[115],"targeted":[116],"future":[117],"directions,":[119],"provides":[121],"new":[122],"perspectives":[123],"for":[124],"researchers":[125],"understand":[127],"apply":[129]},"counts_by_year":[],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2026-02-03T00:00:00"}
