{"id":"https://openalex.org/W4396873218","doi":"https://doi.org/10.1007/s10462-024-10746-x","title":"New discrete-time zeroing neural network for solving time-dependent linear equation with boundary constraint","display_name":"New discrete-time zeroing neural network for solving time-dependent linear equation with boundary constraint","publication_year":2024,"publication_date":"2024-05-13","ids":{"openalex":"https://openalex.org/W4396873218","doi":"https://doi.org/10.1007/s10462-024-10746-x"},"language":"en","primary_location":{"id":"doi:10.1007/s10462-024-10746-x","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10462-024-10746-x","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10462-024-10746-x.pdf","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","license_id":"https://openalex.org/licenses/cc-by","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://link.springer.com/content/pdf/10.1007/s10462-024-10746-x.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5060714692","display_name":"Naimeng Cang","orcid":"https://orcid.org/0000-0003-2024-3897"},"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":"Naimeng Cang","raw_affiliation_strings":["School of Information and Communication Engineering, Hainan University, Haikou, China"],"raw_orcid":null,"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/A5051451361","display_name":"Feng Qiu","orcid":"https://orcid.org/0000-0002-2098-1147"},"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":"Feng Qiu","raw_affiliation_strings":["School of Information and Communication Engineering, Hainan University, Haikou, China"],"raw_orcid":null,"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/A5101912402","display_name":"Shan Xue","orcid":"https://orcid.org/0000-0002-9123-5133"},"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"]},{"id":"https://openalex.org/I3045169105","display_name":"Southern University of Science and Technology","ror":"https://ror.org/049tv2d57","country_code":"CN","type":"education","lineage":["https://openalex.org/I3045169105"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shan Xue","raw_affiliation_strings":["School of Information and Communication Engineering, Hainan University, Haikou, China","School of System Design and Intelligent Manufacturing, South China University of Technology, Shenzhen, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Information and Communication Engineering, Hainan University, Haikou, China","institution_ids":["https://openalex.org/I20942203"]},{"raw_affiliation_string":"School of System Design and Intelligent Manufacturing, South China University of Technology, Shenzhen, China","institution_ids":["https://openalex.org/I3045169105"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064564307","display_name":"Zehua Jia","orcid":"https://orcid.org/0000-0001-9936-5883"},"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":"Zehua Jia","raw_affiliation_strings":["School of Information and Communication Engineering, Hainan University, Haikou, China"],"raw_orcid":null,"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/A5057914321","display_name":"Dongsheng Guo","orcid":"https://orcid.org/0000-0002-8304-2788"},"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"],"raw_orcid":null,"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/A5100388920","display_name":"Zhijun Zhang","orcid":"https://orcid.org/0000-0002-6859-3426"},"institutions":[{"id":"https://openalex.org/I90610280","display_name":"South China University of Technology","ror":"https://ror.org/0530pts50","country_code":"CN","type":"education","lineage":["https://openalex.org/I90610280"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhijun Zhang","raw_affiliation_strings":["School of Automation Science and Engineering, South China University of Technology, Guangzhou, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Automation Science and Engineering, South China University of Technology, Guangzhou, China","institution_ids":["https://openalex.org/I90610280"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5063378661","display_name":"Weibing Li","orcid":"https://orcid.org/0000-0002-7970-9076"},"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":"Weibing Li","raw_affiliation_strings":["School of Computer Science and Engineering, Sun Yat-sen University, Guangzhou, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Science and Engineering, 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/A5057914321"],"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":1.6671,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.85692639,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":97,"max":98},"biblio":{"volume":"57","issue":"6","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9961000084877014,"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/T10320","display_name":"Neural Networks and Applications","score":0.9961000084877014,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9854000210762024,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.9513000249862671,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.6551076173782349},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.6342320442199707},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.567052960395813},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5156258940696716},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.5124866962432861},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.4534369707107544},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.4244728088378906},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3834135830402374},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3363944888114929},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.27761542797088623},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1801166534423828},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.07907259464263916},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06959232687950134}],"concepts":[{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.6551076173782349},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.6342320442199707},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.567052960395813},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5156258940696716},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.5124866962432861},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.4534369707107544},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4244728088378906},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3834135830402374},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3363944888114929},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.27761542797088623},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1801166534423828},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.07907259464263916},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06959232687950134}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10462-024-10746-x","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10462-024-10746-x","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10462-024-10746-x.pdf","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","license_id":"https://openalex.org/licenses/cc-by","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/s10462-024-10746-x","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10462-024-10746-x","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10462-024-10746-x.pdf","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","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Artificial Intelligence Review","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3626380995","display_name":null,"funder_award_id":"2022ZD0119900","funder_id":"https://openalex.org/F4320335774","funder_display_name":"Key Technologies Research and Development Program"},{"id":"https://openalex.org/G5721963804","display_name":null,"funder_award_id":"U2141234","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/F4320335774","display_name":"Key Technologies Research and Development Program","ror":null}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4396873218.pdf"},"referenced_works_count":41,"referenced_works":["https://openalex.org/W254046884","https://openalex.org/W1628127030","https://openalex.org/W1964961455","https://openalex.org/W1965296883","https://openalex.org/W1981884787","https://openalex.org/W1988233868","https://openalex.org/W1989455822","https://openalex.org/W2007178709","https://openalex.org/W2043570811","https://openalex.org/W2046658845","https://openalex.org/W2056831639","https://openalex.org/W2065291165","https://openalex.org/W2082951938","https://openalex.org/W2107383972","https://openalex.org/W2126626564","https://openalex.org/W2150793997","https://openalex.org/W2153202134","https://openalex.org/W2157719531","https://openalex.org/W2345244325","https://openalex.org/W2502651175","https://openalex.org/W2586662914","https://openalex.org/W2744482715","https://openalex.org/W2779147390","https://openalex.org/W2783505362","https://openalex.org/W2888239715","https://openalex.org/W2906482729","https://openalex.org/W2912762242","https://openalex.org/W2934060014","https://openalex.org/W2937480306","https://openalex.org/W2939022044","https://openalex.org/W2941887520","https://openalex.org/W3005162187","https://openalex.org/W3046547258","https://openalex.org/W3212352727","https://openalex.org/W3214899461","https://openalex.org/W4210595706","https://openalex.org/W4247080625","https://openalex.org/W4285049160","https://openalex.org/W4297919728","https://openalex.org/W4320038897","https://openalex.org/W4360997947"],"related_works":["https://openalex.org/W2807251790","https://openalex.org/W2799406489","https://openalex.org/W2391251536","https://openalex.org/W2362198218","https://openalex.org/W2049792449","https://openalex.org/W1982750869","https://openalex.org/W2019521278","https://openalex.org/W1984922432","https://openalex.org/W2113077220","https://openalex.org/W2133690079"],"abstract_inverted_index":{"Abstract":[0],"Recently,":[1],"continuous-":[2],"and":[3,79],"discrete-time":[4,45],"models":[5],"of":[6,74,88,103],"a":[7,31,43,104],"zeroing":[8],"neural":[9],"network":[10],"(ZNN)":[11],"have":[12],"been":[13],"developed":[14],"to":[15,34,60,99],"provide":[16],"online":[17],"solutions":[18],"for":[19],"the":[20,36,56,62,71,75,89,100],"time-dependent":[21],"linear":[22],"equation":[23],"(TDLE)":[24],"with":[25],"boundary":[26],"constraint.":[27],"This":[28],"paper":[29],"presents":[30],"novel":[32],"approach":[33],"address":[35],"bound-constrained":[37],"TDLE":[38],"(BCTDLE)":[39],"problem":[40],"by":[41],"proposing":[42],"new":[44],"ZNN":[46],"(DTZNN)":[47],"model.":[48,67],"The":[49,86],"proposed":[50,76,90],"DTZNN":[51,77,91],"model":[52,92],"is":[53,93],"designed":[54],"using":[55],"Taylor":[57],"difference":[58],"formula":[59],"discretize":[61],"previous":[63],"continuous-time":[64],"ZNNN":[65],"(CTZNN)":[66],"Theoretical":[68],"analysis":[69],"indicates":[70],"computational":[72],"property":[73],"model,":[78],"numerical":[80],"results":[81],"further":[82],"demonstrate":[83],"its":[84,97],"validity.":[85],"applicability":[87],"finally":[94],"confirmed":[95],"via":[96],"application":[98],"motion":[101],"planning":[102],"PUMA560":[105],"robotic":[106],"arm.":[107]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":4}],"updated_date":"2026-06-13T06:13:01.061226","created_date":"2025-10-10T00:00:00"}