{"id":"https://openalex.org/W4317401688","doi":"https://doi.org/10.1080/00207160.2023.2170178","title":"Prescribed time convergence and robust zeroing neural network for solving time-varying linear matrix equation","display_name":"Prescribed time convergence and robust zeroing neural network for solving time-varying linear matrix equation","publication_year":2023,"publication_date":"2023-01-19","ids":{"openalex":"https://openalex.org/W4317401688","doi":"https://doi.org/10.1080/00207160.2023.2170178"},"language":"en","primary_location":{"id":"doi:10.1080/00207160.2023.2170178","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2023.2170178","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"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/A5085510984","display_name":"Bin Chai","orcid":"https://orcid.org/0000-0001-5886-6390"},"institutions":[{"id":"https://openalex.org/I17145004","display_name":"Northwestern Polytechnical University","ror":"https://ror.org/01y0j0j86","country_code":"CN","type":"education","lineage":["https://openalex.org/I17145004"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Bin Chai","raw_affiliation_strings":["School of Astronautics, Northwestern Polytechnical University, Xi\u2019an, People\u2019s Republic of China","School of Astronautics, Northwestern Polytechnical University, Xi'an, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Astronautics, Northwestern Polytechnical University, Xi\u2019an, People\u2019s Republic of China","institution_ids":["https://openalex.org/I17145004"]},{"raw_affiliation_string":"School of Astronautics, Northwestern Polytechnical University, Xi'an, People's Republic of China","institution_ids":["https://openalex.org/I17145004"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040751681","display_name":"Ke Zhang","orcid":"https://orcid.org/0000-0002-0628-0416"},"institutions":[{"id":"https://openalex.org/I17145004","display_name":"Northwestern Polytechnical University","ror":"https://ror.org/01y0j0j86","country_code":"CN","type":"education","lineage":["https://openalex.org/I17145004"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ke Zhang","raw_affiliation_strings":["School of Astronautics, Northwestern Polytechnical University, Xi\u2019an, People\u2019s Republic of China","School of Astronautics, Northwestern Polytechnical University, Xi'an, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Astronautics, Northwestern Polytechnical University, Xi\u2019an, People\u2019s Republic of China","institution_ids":["https://openalex.org/I17145004"]},{"raw_affiliation_string":"School of Astronautics, Northwestern Polytechnical University, Xi'an, People's Republic of China","institution_ids":["https://openalex.org/I17145004"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5041192836","display_name":"Minghu Tan","orcid":"https://orcid.org/0009-0007-9350-4476"},"institutions":[{"id":"https://openalex.org/I17145004","display_name":"Northwestern Polytechnical University","ror":"https://ror.org/01y0j0j86","country_code":"CN","type":"education","lineage":["https://openalex.org/I17145004"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Minghu Tan","raw_affiliation_strings":["School of Astronautics, Northwestern Polytechnical University, Xi\u2019an, People\u2019s Republic of China","School of Astronautics, Northwestern Polytechnical University, Xi'an, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Astronautics, Northwestern Polytechnical University, Xi\u2019an, People\u2019s Republic of China","institution_ids":["https://openalex.org/I17145004"]},{"raw_affiliation_string":"School of Astronautics, Northwestern Polytechnical University, Xi'an, People's Republic of China","institution_ids":["https://openalex.org/I17145004"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100432452","display_name":"Jingyu Wang","orcid":"https://orcid.org/0000-0001-7017-1938"},"institutions":[{"id":"https://openalex.org/I17145004","display_name":"Northwestern Polytechnical University","ror":"https://ror.org/01y0j0j86","country_code":"CN","type":"education","lineage":["https://openalex.org/I17145004"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jingyu Wang","raw_affiliation_strings":["School of Astronautics, Northwestern Polytechnical University, Xi\u2019an, People\u2019s Republic of China","School of Astronautics, Northwestern Polytechnical University, Xi'an, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Astronautics, Northwestern Polytechnical University, Xi\u2019an, People\u2019s Republic of China","institution_ids":["https://openalex.org/I17145004"]},{"raw_affiliation_string":"School of Astronautics, Northwestern Polytechnical University, Xi'an, People's Republic of China","institution_ids":["https://openalex.org/I17145004"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5041192836"],"corresponding_institution_ids":["https://openalex.org/I17145004"],"apc_list":null,"apc_paid":null,"fwci":1.5659,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.85711488,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":"100","issue":"5","first_page":"1094","last_page":"1109"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9977999925613403,"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":0.9977999925613403,"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/T10571","display_name":"Robotic Mechanisms and Dynamics","score":0.9916999936103821,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9898999929428101,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/activation-function","display_name":"Activation function","score":0.7504677772521973},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.6751390695571899},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.6279529929161072},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5188361406326294},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5013422966003418},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.49087029695510864},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4592537581920624},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.42652732133865356},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.36262816190719604},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3442980945110321},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10792744159698486}],"concepts":[{"id":"https://openalex.org/C38365724","wikidata":"https://www.wikidata.org/wiki/Q4677469","display_name":"Activation function","level":3,"score":0.7504677772521973},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.6751390695571899},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.6279529929161072},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5188361406326294},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5013422966003418},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.49087029695510864},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4592537581920624},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.42652732133865356},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.36262816190719604},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3442980945110321},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10792744159698486},{"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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207160.2023.2170178","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2023.2170178","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W2069027027","https://openalex.org/W2133702739","https://openalex.org/W2617967709","https://openalex.org/W2753970082","https://openalex.org/W2772861103","https://openalex.org/W2787568736","https://openalex.org/W2791809365","https://openalex.org/W2888368583","https://openalex.org/W2903552223","https://openalex.org/W2941603869","https://openalex.org/W2941887520","https://openalex.org/W2965637422","https://openalex.org/W2980066546","https://openalex.org/W3018393815","https://openalex.org/W3018832276","https://openalex.org/W3027535975","https://openalex.org/W3030206115","https://openalex.org/W3121297827","https://openalex.org/W3123516373","https://openalex.org/W3136789130","https://openalex.org/W3138341408","https://openalex.org/W3169672010","https://openalex.org/W4200273953","https://openalex.org/W4205144960","https://openalex.org/W4207001613","https://openalex.org/W4213220926","https://openalex.org/W4221044508","https://openalex.org/W4285405342","https://openalex.org/W4286491290"],"related_works":["https://openalex.org/W3110577345","https://openalex.org/W2946235959","https://openalex.org/W3134817226","https://openalex.org/W3198895633","https://openalex.org/W4318066384","https://openalex.org/W4287019248","https://openalex.org/W4385451479","https://openalex.org/W3034021666","https://openalex.org/W2898900925","https://openalex.org/W3170224572"],"abstract_inverted_index":{"Zeroing":[0],"neural":[1,28,54,87,142,177],"network":[2,29,88,178],"offers":[3],"a":[4,56],"new":[5],"solution":[6,162],"method":[7],"to":[8,89,110,132],"solve":[9,90],"the":[10,19,24,38,49,63,78,91,111,118,123,133,136,146,149,161,180],"time-varying":[11,32,92,192],"linear":[12,33,93,193],"matrix":[13,34,94,194],"equation.":[14,35,95,195],"As":[15],"an":[16],"important":[17],"component,":[18],"activation":[20,58,73,80,138,182],"function":[21,59,81,139,183],"directly":[22],"affects":[23],"performance":[25,84],"of":[26,40,52,104,126,135,148],"zeroing":[27,53,86,141,176],"in":[30,66,75,164],"solving":[31],"Focusing":[36],"on":[37],"unification":[39],"prescribed":[41,119],"time":[42,65,120,128],"convergence":[43,127,150],"and":[44,140,170],"strong":[45,156],"robustness":[46],"without":[47],"changing":[48],"basic":[50],"structure":[51],"network,":[55,143],"novel":[57,79,137,181],"is":[60,99,117,129,155],"proposed":[61],"for":[62,85,187],"first":[64,97],"this":[67],"paper.":[68],"Compared":[69],"with":[70,179],"commonly":[71],"used":[72],"functions":[74],"previous":[76],"work,":[77],"has":[82,184],"superior":[83],"The":[96,114,152],"item":[98,116,154],"global":[100],"asymptotic":[101],"convergence,":[102,121],"capable":[103],"converging":[105],"from":[106],"random":[107],"initial":[108],"states":[109],"theoretical":[112],"solution.":[113],"second":[115],"i.e.":[122],"upper":[124],"bound":[125],"only":[130],"related":[131],"parameters":[134],"which":[144,158],"facilitates":[145],"prediction":[147],"process.":[151],"third":[153],"robustness,":[157],"ensures":[159],"that":[160,175],"converges":[163],"various":[165],"noisy":[166],"environments.":[167],"Theoretical":[168],"analysis":[169],"comparative":[171],"simulation":[172],"experiments":[173],"verify":[174],"these":[185],"performances":[186],"both":[188],"low-":[189],"or":[190],"high-dimensional":[191]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":3}],"updated_date":"2026-04-02T15:55:50.835912","created_date":"2025-10-10T00:00:00"}
