{"id":"https://openalex.org/W2975370440","doi":"https://doi.org/10.1109/tnnls.2019.2938866","title":"General 7-Instant DCZNN Model Solving Future Different-Level System of Nonlinear Inequality and Linear Equation","display_name":"General 7-Instant DCZNN Model Solving Future Different-Level System of Nonlinear Inequality and Linear Equation","publication_year":2019,"publication_date":"2019-09-27","ids":{"openalex":"https://openalex.org/W2975370440","doi":"https://doi.org/10.1109/tnnls.2019.2938866","mag":"2975370440","pmid":"https://pubmed.ncbi.nlm.nih.gov/31567101"},"language":"en","primary_location":{"id":"doi:10.1109/tnnls.2019.2938866","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2019.2938866","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/A5021844766","display_name":"Min Yang","orcid":"https://orcid.org/0000-0003-2550-0549"},"institutions":[{"id":"https://openalex.org/I157773358","display_name":"Sun Yat-sen University","ror":"https://ror.org/0064kty71","country_code":"CN","type":"education","lineage":["https://openalex.org/I157773358"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Min Yang","raw_affiliation_strings":["School of Electronics and Information Technology, Sun Yat-sen University, Guangzhou, China"],"raw_orcid":"https://orcid.org/0000-0003-2550-0549","affiliations":[{"raw_affiliation_string":"School of Electronics and Information Technology, Sun Yat-sen University, Guangzhou, China","institution_ids":["https://openalex.org/I157773358"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053064477","display_name":"Yunong Zhang","orcid":"https://orcid.org/0000-0002-2228-0395"},"institutions":[{"id":"https://openalex.org/I157773358","display_name":"Sun Yat-sen University","ror":"https://ror.org/0064kty71","country_code":"CN","type":"education","lineage":["https://openalex.org/I157773358"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yunong Zhang","raw_affiliation_strings":["Research Institute of Sun Yat-sen University in Shenzhen, Shenzhen, China","School of Data and Computer Science, Sun Yat-sen University, Guangzhou, China"],"raw_orcid":"https://orcid.org/0000-0002-2228-0395","affiliations":[{"raw_affiliation_string":"Research Institute of Sun Yat-sen University in Shenzhen, Shenzhen, China","institution_ids":["https://openalex.org/I157773358"]},{"raw_affiliation_string":"School of Data and Computer Science, Sun Yat-sen University, Guangzhou, China","institution_ids":["https://openalex.org/I157773358"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056953478","display_name":"Haifeng Hu","orcid":"https://orcid.org/0000-0002-4884-323X"},"institutions":[{"id":"https://openalex.org/I157773358","display_name":"Sun Yat-sen University","ror":"https://ror.org/0064kty71","country_code":"CN","type":"education","lineage":["https://openalex.org/I157773358"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Haifeng Hu","raw_affiliation_strings":["School of Electronics and Information Technology, Sun Yat-sen University, Guangzhou, China"],"raw_orcid":"https://orcid.org/0000-0002-4884-323X","affiliations":[{"raw_affiliation_string":"School of Electronics and Information Technology, Sun Yat-sen University, Guangzhou, China","institution_ids":["https://openalex.org/I157773358"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5029739746","display_name":"Binbin Qiu","orcid":"https://orcid.org/0000-0002-9932-3306"},"institutions":[{"id":"https://openalex.org/I157773358","display_name":"Sun Yat-sen University","ror":"https://ror.org/0064kty71","country_code":"CN","type":"education","lineage":["https://openalex.org/I157773358"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Binbin Qiu","raw_affiliation_strings":["Research Institute of Sun Yat-sen University in Shenzhen, Shenzhen, China","School of Data and Computer Science, Sun Yat-sen University, Guangzhou, China"],"raw_orcid":"https://orcid.org/0000-0002-9932-3306","affiliations":[{"raw_affiliation_string":"Research Institute of Sun Yat-sen University in Shenzhen, Shenzhen, China","institution_ids":["https://openalex.org/I157773358"]},{"raw_affiliation_string":"School of Data and Computer Science, Sun Yat-sen University, Guangzhou, China","institution_ids":["https://openalex.org/I157773358"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5021844766"],"corresponding_institution_ids":["https://openalex.org/I157773358"],"apc_list":null,"apc_paid":null,"fwci":4.3801,"has_fulltext":false,"cited_by_count":44,"citation_normalized_percentile":{"value":0.94857459,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":"31","issue":"9","first_page":"3204","last_page":"3214"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10571","display_name":"Robotic Mechanisms and Dynamics","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T10571","display_name":"Robotic Mechanisms and Dynamics","score":0.9998999834060669,"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/T11749","display_name":"Iterative Learning Control Systems","score":0.9952999949455261,"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/T11394","display_name":"Dynamics and Control of Mechanical Systems","score":0.9869999885559082,"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/discretization","display_name":"Discretization","score":0.7281040549278259},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6783596277236938},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.5677254796028137},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.540600597858429},{"id":"https://openalex.org/keywords/instant","display_name":"Instant","score":0.4881225526332855},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4630996882915497},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.37856972217559814},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3643452227115631},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.32633036375045776},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.20460203289985657},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1585199236869812},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09457507729530334}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.7281040549278259},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6783596277236938},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.5677254796028137},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.540600597858429},{"id":"https://openalex.org/C2779432360","wikidata":"https://www.wikidata.org/wiki/Q16963779","display_name":"Instant","level":2,"score":0.4881225526332855},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4630996882915497},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.37856972217559814},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3643452227115631},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.32633036375045776},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.20460203289985657},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1585199236869812},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09457507729530334},{"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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tnnls.2019.2938866","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2019.2938866","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:31567101","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/31567101","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":[{"score":0.5799999833106995,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[{"id":"https://openalex.org/G1522943645","display_name":null,"funder_award_id":"2018M643306","funder_id":"https://openalex.org/F4320321543","funder_display_name":"China Postdoctoral Science Foundation"},{"id":"https://openalex.org/G4228998522","display_name":null,"funder_award_id":"2017A030311029","funder_id":"https://openalex.org/F4320321921","funder_display_name":"Natural Science Foundation of Guangdong Province"},{"id":"https://openalex.org/G4443364881","display_name":null,"funder_award_id":"61473323","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5678804896","display_name":null,"funder_award_id":"61673402","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"},{"id":"https://openalex.org/F4320321543","display_name":"China Postdoctoral Science Foundation","ror":"https://ror.org/0426zh255"},{"id":"https://openalex.org/F4320321921","display_name":"Natural Science Foundation of Guangdong Province","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":53,"referenced_works":["https://openalex.org/W76314153","https://openalex.org/W280536263","https://openalex.org/W605390454","https://openalex.org/W605684370","https://openalex.org/W1582137406","https://openalex.org/W1720109179","https://openalex.org/W2002352814","https://openalex.org/W2004573655","https://openalex.org/W2006713976","https://openalex.org/W2007297825","https://openalex.org/W2018195533","https://openalex.org/W2019414763","https://openalex.org/W2019647239","https://openalex.org/W2022158576","https://openalex.org/W2028828529","https://openalex.org/W2048433757","https://openalex.org/W2073858508","https://openalex.org/W2079443825","https://openalex.org/W2082152645","https://openalex.org/W2100940538","https://openalex.org/W2104621281","https://openalex.org/W2119715138","https://openalex.org/W2128084896","https://openalex.org/W2130317597","https://openalex.org/W2133702739","https://openalex.org/W2197304904","https://openalex.org/W2344053498","https://openalex.org/W2345244325","https://openalex.org/W2463012321","https://openalex.org/W2482430271","https://openalex.org/W2559957666","https://openalex.org/W2586662914","https://openalex.org/W2591194352","https://openalex.org/W2595448953","https://openalex.org/W2696256157","https://openalex.org/W2716009774","https://openalex.org/W2746282094","https://openalex.org/W2766113111","https://openalex.org/W2772861103","https://openalex.org/W2779147390","https://openalex.org/W2780162751","https://openalex.org/W2781841050","https://openalex.org/W2787568736","https://openalex.org/W2794096129","https://openalex.org/W2794132121","https://openalex.org/W2799602331","https://openalex.org/W2900351265","https://openalex.org/W2906482729","https://openalex.org/W2906829036","https://openalex.org/W2911835134","https://openalex.org/W2919009917","https://openalex.org/W4247080625","https://openalex.org/W6650876394"],"related_works":["https://openalex.org/W2356370096","https://openalex.org/W2794694000","https://openalex.org/W2094154142","https://openalex.org/W2350999733","https://openalex.org/W2392387319","https://openalex.org/W2359725054","https://openalex.org/W4287262429","https://openalex.org/W4287262247","https://openalex.org/W4287613691","https://openalex.org/W2774547058"],"abstract_inverted_index":{"In":[0],"this":[1],"article,":[2],"a":[3,43,58,69,100,163],"novel":[4],"and":[5,15,21,34,41,130,135,173,181],"challenging":[6],"problem":[7],"called":[8],"future":[9],"different-level":[10,29],"system":[11,30],"of":[12,31,137,162,175],"nonlinear":[13,32],"inequality":[14,33],"linear":[16,35],"equation":[17,36],"(FDLSNILE)":[18],"is":[19,38,54,85,106],"proposed":[20,108],"investigated.":[22],"To":[23,56],"solve":[24],"FDLSNILE,":[25,68],"the":[26,80,90,97,133,138,144,159,171,176,182],"corresponding":[27,183],"continuous":[28,44],"(CDLSNILE)":[37],"first":[39],"analyzed,":[40],"then,":[42],"combined":[45,60],"zeroing":[46,61],"neural":[47,62],"network":[48,63],"(CCZNN)":[49],"model":[50,65,105,141],"for":[51,66,79,109,150],"solving":[52,67,110,151],"CDLSNILE":[53],"proposed.":[55,86],"obtain":[57],"discrete":[59],"(DCZNN)":[64],"high-precision":[70],"general":[71,91,101,139,177],"7-instant":[72,92,102,178],"Zhang":[73],"et":[74],"al.":[75],"discretization":[76],"(ZeaD)":[77],"formula":[78,94,180],"first-order":[81],"time":[82],"derivative":[83],"approximation":[84],"Furthermore,":[87],"by":[88,114],"applying":[89],"ZeaD":[93,118,179],"to":[95,169],"discretize":[96],"CCZNN":[98],"model,":[99],"DCZNN":[103,122,148],"(7IDCZNN)":[104],"thus":[107],"FDLSNILE.":[111,152],"For":[112],"comparison,":[113],"using":[115],"three":[116,120,146],"conventional":[117,121,147],"formulas,":[119],"models":[123,149],"are":[124,167],"also":[125],"developed.":[126],"Meanwhile,":[127],"theoretical":[128],"analyses":[129],"results":[131],"guarantee":[132],"efficacy":[134,172],"superiority":[136,174],"7IDCZNN":[140,184],"compared":[142],"with":[143],"other":[145],"Finally,":[153],"several":[154],"comparative":[155],"numerical":[156],"experiments,":[157],"including":[158],"motion":[160],"control":[161],"5-link":[164],"redundant":[165],"manipulator,":[166],"provided":[168],"substantiate":[170],"model.":[185]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":8},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":12},{"year":2020,"cited_by_count":7}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}
