{"id":"https://openalex.org/W4408399684","doi":"https://doi.org/10.1109/tase.2024.3491913","title":"A New Double-Integration-Enhanced RNN Algorithm for Discrete Time-Variant Equation Systems With Robot Manipulator Applications","display_name":"A New Double-Integration-Enhanced RNN Algorithm for Discrete Time-Variant Equation Systems With Robot Manipulator Applications","publication_year":2025,"publication_date":"2025-01-01","ids":{"openalex":"https://openalex.org/W4408399684","doi":"https://doi.org/10.1109/tase.2024.3491913"},"language":"en","primary_location":{"id":"doi:10.1109/tase.2024.3491913","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tase.2024.3491913","pdf_url":null,"source":{"id":"https://openalex.org/S34881539","display_name":"IEEE Transactions on Automation Science and Engineering","issn_l":"1545-5955","issn":["1545-5955","1558-3783"],"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 Automation Science and Engineering","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/A5038110519","display_name":"Yang Shi","orcid":"https://orcid.org/0000-0003-3014-7858"},"institutions":[{"id":"https://openalex.org/I78978612","display_name":"Yangzhou University","ror":"https://ror.org/03tqb8s11","country_code":"CN","type":"education","lineage":["https://openalex.org/I78978612"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yang Shi","raw_affiliation_strings":["School of Information Engineering and Jiangsu Province Engineering Research Center of Knowledge Management and Intelligent Service, Yangzhou University, Yangzhou, China"],"affiliations":[{"raw_affiliation_string":"School of Information Engineering and Jiangsu Province Engineering Research Center of Knowledge Management and Intelligent Service, Yangzhou University, Yangzhou, China","institution_ids":["https://openalex.org/I78978612"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101249463","display_name":"Wei Chong","orcid":null},"institutions":[{"id":"https://openalex.org/I78978612","display_name":"Yangzhou University","ror":"https://ror.org/03tqb8s11","country_code":"CN","type":"education","lineage":["https://openalex.org/I78978612"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wei Chong","raw_affiliation_strings":["School of Information Engineering and Jiangsu Province Engineering Research Center of Knowledge Management and Intelligent Service, Yangzhou University, Yangzhou, China"],"affiliations":[{"raw_affiliation_string":"School of Information Engineering and Jiangsu Province Engineering Research Center of Knowledge Management and Intelligent Service, Yangzhou University, Yangzhou, China","institution_ids":["https://openalex.org/I78978612"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103250560","display_name":"Xinwei Cao","orcid":"https://orcid.org/0009-0003-5728-1632"},"institutions":[{"id":"https://openalex.org/I111599522","display_name":"Jiangnan University","ror":"https://ror.org/04mkzax54","country_code":"CN","type":"education","lineage":["https://openalex.org/I111599522"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xinwei Cao","raw_affiliation_strings":["School of Business, Jiangnan University, Wuxi, China"],"affiliations":[{"raw_affiliation_string":"School of Business, Jiangnan University, Wuxi, China","institution_ids":["https://openalex.org/I111599522"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5009620212","display_name":"Chao Jiang","orcid":"https://orcid.org/0000-0002-9008-0790"},"institutions":[{"id":"https://openalex.org/I78978612","display_name":"Yangzhou University","ror":"https://ror.org/03tqb8s11","country_code":"CN","type":"education","lineage":["https://openalex.org/I78978612"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chao Jiang","raw_affiliation_strings":["School of Information Engineering and Jiangsu Province Engineering Research Center of Knowledge Management and Intelligent Service, Yangzhou University, Yangzhou, China"],"affiliations":[{"raw_affiliation_string":"School of Information Engineering and Jiangsu Province Engineering Research Center of Knowledge Management and Intelligent Service, Yangzhou University, Yangzhou, China","institution_ids":["https://openalex.org/I78978612"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5046848922","display_name":"Ruxin Zhao","orcid":"https://orcid.org/0000-0002-6810-2631"},"institutions":[{"id":"https://openalex.org/I78978612","display_name":"Yangzhou University","ror":"https://ror.org/03tqb8s11","country_code":"CN","type":"education","lineage":["https://openalex.org/I78978612"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ruxin Zhao","raw_affiliation_strings":["School of Information Engineering and Jiangsu Province Engineering Research Center of Knowledge Management and Intelligent Service, Yangzhou University, Yangzhou, China"],"affiliations":[{"raw_affiliation_string":"School of Information Engineering and Jiangsu Province Engineering Research Center of Knowledge Management and Intelligent Service, Yangzhou University, Yangzhou, China","institution_ids":["https://openalex.org/I78978612"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5008405024","display_name":"Dimitrios Gerontitis","orcid":"https://orcid.org/0000-0002-2148-0811"},"institutions":[{"id":"https://openalex.org/I183898223","display_name":"International Hellenic University","ror":"https://ror.org/00708jp83","country_code":"GR","type":"education","lineage":["https://openalex.org/I183898223"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"Dimitrios K. Gerontitis","raw_affiliation_strings":["Department of Information and Electronic Engineering, International Hellenic University, Thessaloniki, Greece"],"affiliations":[{"raw_affiliation_string":"Department of Information and Electronic Engineering, International Hellenic University, Thessaloniki, Greece","institution_ids":["https://openalex.org/I183898223"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5038110519"],"corresponding_institution_ids":["https://openalex.org/I78978612"],"apc_list":null,"apc_paid":null,"fwci":20.0796,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.99498821,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"22","issue":null,"first_page":"8856","last_page":"8869"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9337000250816345,"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"}},"topics":[{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9337000250816345,"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"}},{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9264000058174133,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/robot-manipulator","display_name":"Robot manipulator","score":0.6500449776649475},{"id":"https://openalex.org/keywords/manipulator","display_name":"Manipulator (device)","score":0.5959592461585999},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5252358913421631},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.48619574308395386},{"id":"https://openalex.org/keywords/robot","display_name":"Robot","score":0.46874454617500305},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.41821303963661194},{"id":"https://openalex.org/keywords/control-engineering","display_name":"Control engineering","score":0.3968908190727234},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.2986879348754883},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.24932456016540527},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.18577474355697632}],"concepts":[{"id":"https://openalex.org/C2985527887","wikidata":"https://www.wikidata.org/wiki/Q1587588","display_name":"Robot manipulator","level":3,"score":0.6500449776649475},{"id":"https://openalex.org/C2781347998","wikidata":"https://www.wikidata.org/wiki/Q1587588","display_name":"Manipulator (device)","level":3,"score":0.5959592461585999},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5252358913421631},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.48619574308395386},{"id":"https://openalex.org/C90509273","wikidata":"https://www.wikidata.org/wiki/Q11012","display_name":"Robot","level":2,"score":0.46874454617500305},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.41821303963661194},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.3968908190727234},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.2986879348754883},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.24932456016540527},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.18577474355697632}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tase.2024.3491913","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tase.2024.3491913","pdf_url":null,"source":{"id":"https://openalex.org/S34881539","display_name":"IEEE Transactions on Automation Science and Engineering","issn_l":"1545-5955","issn":["1545-5955","1558-3783"],"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 Automation Science and Engineering","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3026565072","display_name":null,"funder_award_id":"62476236","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8581092217","display_name":null,"funder_award_id":"61906164","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":48,"referenced_works":["https://openalex.org/W2791994602","https://openalex.org/W2910901527","https://openalex.org/W3093347455","https://openalex.org/W3093499421","https://openalex.org/W3119188238","https://openalex.org/W3139432614","https://openalex.org/W3176543355","https://openalex.org/W3196353935","https://openalex.org/W3199842881","https://openalex.org/W3199885834","https://openalex.org/W3206104399","https://openalex.org/W3206697486","https://openalex.org/W3211570179","https://openalex.org/W3213802398","https://openalex.org/W3214564523","https://openalex.org/W3216066360","https://openalex.org/W4206211217","https://openalex.org/W4210847455","https://openalex.org/W4212783543","https://openalex.org/W4226059568","https://openalex.org/W4280620759","https://openalex.org/W4283259432","https://openalex.org/W4285277704","https://openalex.org/W4285295739","https://openalex.org/W4288071995","https://openalex.org/W4288751428","https://openalex.org/W4306830730","https://openalex.org/W4312356152","https://openalex.org/W4313011332","https://openalex.org/W4315783921","https://openalex.org/W4319866351","https://openalex.org/W4323896833","https://openalex.org/W4362653028","https://openalex.org/W4367663284","https://openalex.org/W4376623613","https://openalex.org/W4377001528","https://openalex.org/W4377971412","https://openalex.org/W4377984109","https://openalex.org/W4382998956","https://openalex.org/W4385945683","https://openalex.org/W4387303318","https://openalex.org/W4387415337","https://openalex.org/W4388191815","https://openalex.org/W4389161267","https://openalex.org/W4389921607","https://openalex.org/W4393033495","https://openalex.org/W4394862641","https://openalex.org/W4396909819"],"related_works":["https://openalex.org/W2391397427","https://openalex.org/W1996341361","https://openalex.org/W4366609476","https://openalex.org/W2078127841","https://openalex.org/W2156518980","https://openalex.org/W2362551533","https://openalex.org/W2386777533","https://openalex.org/W4403420403","https://openalex.org/W2093621301","https://openalex.org/W849053048"],"abstract_inverted_index":{"Discrete":[0],"time-variant":[1,34,53,92,97,119,163,222,248],"equation":[2,35,54,93,101,123,167,223],"systems":[3,18,55,94,124,168],"represent":[4],"a":[5,62,75,210,282,322],"typical":[6],"and":[7,59,99,121,138,141,153,165,175,225,251,297,308],"complex":[8],"problem":[9,249],"across":[10],"various":[11,20],"disciplines.":[12],"With":[13],"the":[14,31,39,83,108,131,139,151,156,195,227,232,239,246,259,295,300,314,326],"increasing":[15],"complexity":[16],"of":[17,64,143,155,197,235,273,280,299,329],"in":[19,38,56,242,261,325],"fields,":[21],"traditional":[22,45],"methods":[23,46],"have":[24],"been":[25],"unable":[26,192],"to":[27,50,186,193,231,244,256],"effectively":[28],"deal":[29],"with":[30,201],"current":[32],"discrete":[33,52,91,96,104,118,162,202,221,247],"systems,":[36,224],"especially":[37],"dynamic":[40],"engineering":[41,309],"problem.":[42],"Generally":[43],"speaking,":[44,188],"are":[47,147,169,179,191,276,303],"typically":[48],"limited":[49],"considering":[51],"ideal":[57],"state,":[58],"there":[60],"is":[61,114,136,229,254,265,286],"lack":[63],"deep":[65],"research":[66,327],"about":[67],"more":[68],"intricate":[69],"disturbance":[70],"states.":[71],"This":[72],"paper":[73,275],"introduces":[74],"new":[76,211,323],"recurrent":[77],"neural":[78],"network":[79],"(RNN)":[80],"algorithm,":[81,88],"termed":[82],"discrete-time":[84,133,240,289,330],"double-integration-enhanced":[85,110,290],"RNN":[86,111,134,212,284,291,316,331],"(DT-DIE-RNN)":[87,292],"for":[89,116,160,219],"handling":[90],"(including":[95],"linear":[98,120,164],"nonlinear":[100,122,166],"system)":[102],"under":[103],"square-time-variant":[105,203],"disturbance.":[106,204],"Firstly,":[107],"continuous-time":[109],"(CT-DIE-RNN)":[112],"algorithm":[113,135,146,159,213,228,285,302,317],"presented":[115],"solving":[117,161,220],"by":[125,171,182,305],"using":[126],"double-integral-type":[127],"error":[128,260],"function.":[129],"Secondly,":[130],"corresponding":[132],"presented,":[137],"convergence":[140],"precision":[142],"such":[144,226],"an":[145,267],"theoretically":[148],"analyzed.":[149],"Finally,":[150],"effectiveness":[152,296],"superiority":[154,298],"proposed":[157,315],"DT-DIE-RNN":[158,301],"supported":[170],"comparative":[172],"numerical":[173,306],"experiments,":[174],"these":[176],"theoretical":[177],"results":[178],"further":[180],"verified":[181,304],"robot":[183,198,236],"manipulator":[184,199],"applications.Note":[185],"Practitioners\u2014Generally":[187],"previous":[189],"algorithms":[190],"guarantee":[194],"operation":[196],"stably":[200],"In":[205,238,312],"this":[206,274],"study,":[207],"we":[208],"design":[209],"which":[214],"possesses":[215],"stronger":[216],"anti-disturbance":[217],"capability":[218],"applied":[230],"tracking":[233],"control":[234],"manipulator.":[237],"environment,":[241],"order":[243],"solve":[245],"smoothly":[250],"stably,":[252],"it":[253],"necessary":[255],"ensure":[257],"that":[258],"each":[262],"time":[263],"period":[264],"within":[266],"acceptable":[268],"range.":[269],"The":[270],"basic":[271],"guidelines":[272],"as":[277,321],"follows.":[278],"First":[279],"all,":[281],"double-integration":[283],"constructed,":[287],"i.e.,":[288],"algorithm.":[293,332],"Then":[294],"experiment":[307],"simulation,":[310],"respectively.":[311],"summary,":[313],"can":[318],"be":[319],"seen":[320],"breakthrough":[324],"field":[328]},"counts_by_year":[{"year":2026,"cited_by_count":6},{"year":2025,"cited_by_count":9}],"updated_date":"2026-03-27T14:29:43.386196","created_date":"2025-10-10T00:00:00"}
