{"id":"https://openalex.org/W4412623501","doi":"https://doi.org/10.1109/tie.2025.3582686","title":"Inverse-Free Discrete ZNN Models for Solving Future Nonlinear Equality and Inequality System With Robot Manipulator Control","display_name":"Inverse-Free Discrete ZNN Models for Solving Future Nonlinear Equality and Inequality System With Robot Manipulator Control","publication_year":2025,"publication_date":"2025-07-24","ids":{"openalex":"https://openalex.org/W4412623501","doi":"https://doi.org/10.1109/tie.2025.3582686"},"language":"en","primary_location":{"id":"doi:10.1109/tie.2025.3582686","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tie.2025.3582686","pdf_url":null,"source":{"id":"https://openalex.org/S58031724","display_name":"IEEE Transactions on Industrial Electronics","issn_l":"0278-0046","issn":["0278-0046","1557-9948"],"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 Industrial Electronics","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/A5100710279","display_name":"Jian Li","orcid":"https://orcid.org/0000-0003-1033-842X"},"institutions":[{"id":"https://openalex.org/I130750295","display_name":"Xinyang Normal University","ror":"https://ror.org/0190x2a66","country_code":"CN","type":"education","lineage":["https://openalex.org/I130750295"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jian Li","raw_affiliation_strings":["School of Computer and Information Technology, Xinyang Normal University, Xinyang, China"],"raw_orcid":"https://orcid.org/0000-0003-1033-842X","affiliations":[{"raw_affiliation_string":"School of Computer and Information Technology, Xinyang Normal University, Xinyang, China","institution_ids":["https://openalex.org/I130750295"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Shuang Pan","orcid":"https://orcid.org/0009-0004-0633-1828"},"institutions":[{"id":"https://openalex.org/I130750295","display_name":"Xinyang Normal University","ror":"https://ror.org/0190x2a66","country_code":"CN","type":"education","lineage":["https://openalex.org/I130750295"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shuang Pan","raw_affiliation_strings":["School of Computer and Information Technology, Xinyang Normal University, Xinyang, China"],"raw_orcid":"https://orcid.org/0009-0004-0633-1828","affiliations":[{"raw_affiliation_string":"School of Computer and Information Technology, Xinyang Normal University, Xinyang, China","institution_ids":["https://openalex.org/I130750295"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015270205","display_name":"Kaixu Chen","orcid":"https://orcid.org/0009-0007-9216-5257"},"institutions":[{"id":"https://openalex.org/I16609230","display_name":"Hunan University","ror":"https://ror.org/05htk5m33","country_code":"CN","type":"education","lineage":["https://openalex.org/I16609230"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Kaixu Chen","raw_affiliation_strings":["School of Robotics, Hunan University, Changsha, China"],"raw_orcid":"https://orcid.org/0009-0007-9216-5257","affiliations":[{"raw_affiliation_string":"School of Robotics, Hunan University, Changsha, China","institution_ids":["https://openalex.org/I16609230"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Xinhui Zhu","orcid":"https://orcid.org/0009-0007-7492-5574"},"institutions":[{"id":"https://openalex.org/I130750295","display_name":"Xinyang Normal University","ror":"https://ror.org/0190x2a66","country_code":"CN","type":"education","lineage":["https://openalex.org/I130750295"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xinhui Zhu","raw_affiliation_strings":["School of Computer and Information Technology, Xinyang Normal University, Xinyang, China"],"raw_orcid":"https://orcid.org/0009-0007-7492-5574","affiliations":[{"raw_affiliation_string":"School of Computer and Information Technology, Xinyang Normal University, Xinyang, China","institution_ids":["https://openalex.org/I130750295"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108056075","display_name":"Min Yang","orcid":"https://orcid.org/0000-0003-3397-2300"},"institutions":[{"id":"https://openalex.org/I16609230","display_name":"Hunan University","ror":"https://ror.org/05htk5m33","country_code":"CN","type":"education","lineage":["https://openalex.org/I16609230"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Min Yang","raw_affiliation_strings":["School of Robotics, Hunan University, Changsha, China"],"raw_orcid":"https://orcid.org/0000-0003-3397-2300","affiliations":[{"raw_affiliation_string":"School of Robotics, Hunan University, Changsha, China","institution_ids":["https://openalex.org/I16609230"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5100710279"],"corresponding_institution_ids":["https://openalex.org/I130750295"],"apc_list":null,"apc_paid":null,"fwci":2.1998,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.88541654,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":98},"biblio":{"volume":"72","issue":"12","first_page":"13775","last_page":"13785"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11525","display_name":"Piezoelectric Actuators and Control","score":0.8555999994277954,"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/T11525","display_name":"Piezoelectric Actuators and Control","score":0.8555999994277954,"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/robot-manipulator","display_name":"Robot manipulator","score":0.6804505586624146},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6500495672225952},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6355520486831665},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.5844360589981079},{"id":"https://openalex.org/keywords/robot","display_name":"Robot","score":0.49096229672431946},{"id":"https://openalex.org/keywords/manipulator","display_name":"Manipulator (device)","score":0.47999805212020874},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4457385241985321},{"id":"https://openalex.org/keywords/inequality","display_name":"Inequality","score":0.44444775581359863},{"id":"https://openalex.org/keywords/feedback-control","display_name":"Feedback control","score":0.4324341118335724},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.4009477198123932},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.38308626413345337},{"id":"https://openalex.org/keywords/control-engineering","display_name":"Control engineering","score":0.3583683967590332},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3274173140525818},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.21456363797187805},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2039768397808075},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.18354174494743347},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.15224924683570862},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07228684425354004}],"concepts":[{"id":"https://openalex.org/C2985527887","wikidata":"https://www.wikidata.org/wiki/Q1587588","display_name":"Robot manipulator","level":3,"score":0.6804505586624146},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6500495672225952},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6355520486831665},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.5844360589981079},{"id":"https://openalex.org/C90509273","wikidata":"https://www.wikidata.org/wiki/Q11012","display_name":"Robot","level":2,"score":0.49096229672431946},{"id":"https://openalex.org/C2781347998","wikidata":"https://www.wikidata.org/wiki/Q1587588","display_name":"Manipulator (device)","level":3,"score":0.47999805212020874},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4457385241985321},{"id":"https://openalex.org/C45555294","wikidata":"https://www.wikidata.org/wiki/Q28113351","display_name":"Inequality","level":2,"score":0.44444775581359863},{"id":"https://openalex.org/C3018651601","wikidata":"https://www.wikidata.org/wiki/Q183635","display_name":"Feedback control","level":2,"score":0.4324341118335724},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.4009477198123932},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.38308626413345337},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.3583683967590332},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3274173140525818},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.21456363797187805},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2039768397808075},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.18354174494743347},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.15224924683570862},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07228684425354004},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tie.2025.3582686","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tie.2025.3582686","pdf_url":null,"source":{"id":"https://openalex.org/S58031724","display_name":"IEEE Transactions on Industrial Electronics","issn_l":"0278-0046","issn":["0278-0046","1557-9948"],"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 Industrial Electronics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.6100000143051147}],"awards":[{"id":"https://openalex.org/G3049952806","display_name":null,"funder_award_id":"62006205","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5412762427","display_name":null,"funder_award_id":"62303174","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6650138770","display_name":null,"funder_award_id":"531118010815","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null},{"id":"https://openalex.org/F4320335834","display_name":"Nanhu Scholars Program for Young Scholars of Xinyang Normal University","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":42,"referenced_works":["https://openalex.org/W280536263","https://openalex.org/W2005104409","https://openalex.org/W2029781456","https://openalex.org/W2042109765","https://openalex.org/W2764226165","https://openalex.org/W2887191391","https://openalex.org/W2908267798","https://openalex.org/W2911835134","https://openalex.org/W2912358421","https://openalex.org/W2912788148","https://openalex.org/W2941887520","https://openalex.org/W2967650831","https://openalex.org/W2969316090","https://openalex.org/W2998407949","https://openalex.org/W3004818638","https://openalex.org/W3005162187","https://openalex.org/W3013088872","https://openalex.org/W3030206115","https://openalex.org/W3047576354","https://openalex.org/W3093540232","https://openalex.org/W3110749201","https://openalex.org/W3125398343","https://openalex.org/W3165755637","https://openalex.org/W3199885834","https://openalex.org/W3204586474","https://openalex.org/W4225291683","https://openalex.org/W4280620759","https://openalex.org/W4312346562","https://openalex.org/W4312961273","https://openalex.org/W4318953232","https://openalex.org/W4376456863","https://openalex.org/W4382998956","https://openalex.org/W4386536157","https://openalex.org/W4387010150","https://openalex.org/W4387108091","https://openalex.org/W4388691853","https://openalex.org/W4392693748","https://openalex.org/W4396531860","https://openalex.org/W4400335439","https://openalex.org/W4402508985","https://openalex.org/W4403420486","https://openalex.org/W4403759091"],"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/W4403420403","https://openalex.org/W2093621301","https://openalex.org/W849053048","https://openalex.org/W4409642668","https://openalex.org/W2517515794"],"abstract_inverted_index":{"In":[0],"this":[1],"article,":[2],"future":[3],"nonlinear":[4],"equality":[5],"and":[6,51,72,85,91,122,129],"inequality":[7],"system":[8],"(FNEIS)":[9],"is":[10,21,37,70],"first":[11],"investigated.":[12],"To":[13,40],"solve":[14,108],"FNEIS,":[15],"continuous":[16,53],"zeroing":[17,25],"equivalency":[18],"(CZE)":[19],"model":[20,36],"proposed":[22],"based":[23],"on":[24],"neural":[26],"network":[27],"(ZNN).":[28],"However,":[29],"the":[30,35,42,95,109],"matrix":[31],"inversion":[32],"operation":[33],"in":[34,117],"relatively":[38],"time-consuming.":[39],"reduce":[41],"computation":[43],"time":[44],"consumption,":[45],"two":[46,52,74,98,102],"inverse-free":[47,54,78],"ways":[48],"are":[49,57,81,105],"utilized,":[50],"(CIF)":[55],"models":[56,80,104],"proposed.":[58],"For":[59],"real-time":[60],"digital":[61],"implementation":[62],"of":[63,76,97],"CIF":[64],"models,":[65],"a":[66],"new":[67],"discretization":[68],"formula":[69],"constructed,":[71],"then":[73],"types":[75],"discrete":[77],"(DIF)":[79],"proposed,":[82],"i.e.":[83],"DIF-I":[84],"DIF-II":[86],"models.":[87,100],"Both":[88],"theoretical":[89],"analyses":[90],"numerical":[92],"experiments":[93,124],"demonstrate":[94],"effectiveness":[96],"DIF":[99,103],"Finally,":[101],"applied":[106],"to":[107],"tracking":[110],"control":[111],"problem,":[112],"considering":[113],"joint":[114],"angle":[115],"limits":[116],"robot":[118],"manipulator":[119],"control.":[120],"Simulative":[121],"physical":[123],"validate":[125],"their":[126],"effectiveness,":[127],"superiority,":[128],"practicality.":[130]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}