{"id":"https://openalex.org/W4296437517","doi":"https://doi.org/10.1109/tnnls.2022.3203011","title":"Distributed Adaptive Forwarding Finite-Time Output Consensus of High-Order Multiagent Systems via Immersion and Invariance-Based Approximator","display_name":"Distributed Adaptive Forwarding Finite-Time Output Consensus of High-Order Multiagent Systems via Immersion and Invariance-Based Approximator","publication_year":2022,"publication_date":"2022-09-19","ids":{"openalex":"https://openalex.org/W4296437517","doi":"https://doi.org/10.1109/tnnls.2022.3203011","pmid":"https://pubmed.ncbi.nlm.nih.gov/36121956"},"language":"en","primary_location":{"id":"doi:10.1109/tnnls.2022.3203011","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2022.3203011","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/A5100397688","display_name":"Yang Yang","orcid":"https://orcid.org/0000-0002-8706-2831"},"institutions":[{"id":"https://openalex.org/I41198531","display_name":"Nanjing University of Posts and Telecommunications","ror":"https://ror.org/043bpky34","country_code":"CN","type":"education","lineage":["https://openalex.org/I41198531"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yang Yang","raw_affiliation_strings":["College of Automation and the College of Artificial Intelligence, Nanjing University of Posts and Telecommunications, Nanjing, China"],"raw_orcid":"https://orcid.org/0000-0002-8706-2831","affiliations":[{"raw_affiliation_string":"College of Automation and the College of Artificial Intelligence, Nanjing University of Posts and Telecommunications, Nanjing, China","institution_ids":["https://openalex.org/I41198531"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022165990","display_name":"Shuang Song","orcid":"https://orcid.org/0000-0002-1903-090X"},"institutions":[{"id":"https://openalex.org/I41198531","display_name":"Nanjing University of Posts and Telecommunications","ror":"https://ror.org/043bpky34","country_code":"CN","type":"education","lineage":["https://openalex.org/I41198531"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shuang Song","raw_affiliation_strings":["College of Automation and the College of Artificial Intelligence, Nanjing University of Posts and Telecommunications, Nanjing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Automation and the College of Artificial Intelligence, Nanjing University of Posts and Telecommunications, Nanjing, China","institution_ids":["https://openalex.org/I41198531"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5039427759","display_name":"Sergey Gorbachev","orcid":"https://orcid.org/0000-0001-8096-1327"},"institutions":[{"id":"https://openalex.org/I4210116144","display_name":"Chongqing University of Education","ror":"https://ror.org/02d06s578","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210116144"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Sergey Gorbachev","raw_affiliation_strings":["School of Artificial Intelligence, Chongqing University of Education, Chongqing, China"],"raw_orcid":"https://orcid.org/0000-0001-8096-1327","affiliations":[{"raw_affiliation_string":"School of Artificial Intelligence, Chongqing University of Education, Chongqing, China","institution_ids":["https://openalex.org/I4210116144"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100727487","display_name":"Dong Yue","orcid":"https://orcid.org/0000-0001-7810-9338"},"institutions":[{"id":"https://openalex.org/I41198531","display_name":"Nanjing University of Posts and Telecommunications","ror":"https://ror.org/043bpky34","country_code":"CN","type":"education","lineage":["https://openalex.org/I41198531"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Dong Yue","raw_affiliation_strings":["College of Automation and the College of Artificial Intelligence, Nanjing University of Posts and Telecommunications, Nanjing, China"],"raw_orcid":"https://orcid.org/0000-0001-7810-9338","affiliations":[{"raw_affiliation_string":"College of Automation and the College of Artificial Intelligence, Nanjing University of Posts and Telecommunications, Nanjing, China","institution_ids":["https://openalex.org/I41198531"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5028662299","display_name":"Jianchao He","orcid":null},"institutions":[{"id":"https://openalex.org/I41198531","display_name":"Nanjing University of Posts and Telecommunications","ror":"https://ror.org/043bpky34","country_code":"CN","type":"education","lineage":["https://openalex.org/I41198531"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jianchao He","raw_affiliation_strings":["College of Automation and the College of Artificial Intelligence, Nanjing University of Posts and Telecommunications, Nanjing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Automation and the College of Artificial Intelligence, Nanjing University of Posts and Telecommunications, Nanjing, China","institution_ids":["https://openalex.org/I41198531"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5100397688"],"corresponding_institution_ids":["https://openalex.org/I41198531"],"apc_list":null,"apc_paid":null,"fwci":1.2841,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.81168519,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"35","issue":"4","first_page":"5241","last_page":"5255"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9998000264167786,"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/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/control-theory","display_name":"Control theory (sociology)","score":0.619415283203125},{"id":"https://openalex.org/keywords/multi-agent-system","display_name":"Multi-agent system","score":0.5699225068092346},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.5641214847564697},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5410306453704834},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5324937701225281},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5243827700614929},{"id":"https://openalex.org/keywords/term","display_name":"Term (time)","score":0.4905321002006531},{"id":"https://openalex.org/keywords/consensus","display_name":"Consensus","score":0.43074682354927063},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.42168182134628296},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3846421539783478},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.36904191970825195},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3357335925102234},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.2561872601509094},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.13361158967018127}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.619415283203125},{"id":"https://openalex.org/C41550386","wikidata":"https://www.wikidata.org/wiki/Q529909","display_name":"Multi-agent system","level":2,"score":0.5699225068092346},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.5641214847564697},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5410306453704834},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5324937701225281},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5243827700614929},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.4905321002006531},{"id":"https://openalex.org/C107107730","wikidata":"https://www.wikidata.org/wiki/Q2994424","display_name":"Consensus","level":3,"score":0.43074682354927063},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.42168182134628296},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3846421539783478},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.36904191970825195},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3357335925102234},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.2561872601509094},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.13361158967018127},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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.2022.3203011","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2022.3203011","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:36121956","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/36121956","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":0.6899999976158142,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[{"id":"https://openalex.org/G2956974309","display_name":null,"funder_award_id":"61873130","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3342916628","display_name":null,"funder_award_id":"BK20191377","funder_id":"https://openalex.org/F4320322769","funder_display_name":"Natural Science Foundation of Jiangsu Province"},{"id":"https://openalex.org/G4993376328","display_name":null,"funder_award_id":"NY220194","funder_id":"https://openalex.org/F4320323268","funder_display_name":"Nanjing University of Posts and Telecommunications"},{"id":"https://openalex.org/G5736016220","display_name":null,"funder_award_id":"62233013","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7779059092","display_name":null,"funder_award_id":"NY221082","funder_id":"https://openalex.org/F4320323268","funder_display_name":"Nanjing University of Posts and Telecommunications"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322769","display_name":"Natural Science Foundation of Jiangsu Province","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320323268","display_name":"Nanjing University of Posts and Telecommunications","ror":"https://ror.org/043bpky34"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W1641583184","https://openalex.org/W1910176656","https://openalex.org/W1979517588","https://openalex.org/W1998380707","https://openalex.org/W1999399806","https://openalex.org/W2090167557","https://openalex.org/W2129275525","https://openalex.org/W2142428281","https://openalex.org/W2238448121","https://openalex.org/W2506178909","https://openalex.org/W2528815323","https://openalex.org/W2591659626","https://openalex.org/W2738399088","https://openalex.org/W2753595067","https://openalex.org/W2768405369","https://openalex.org/W2789904799","https://openalex.org/W2795219039","https://openalex.org/W2795714409","https://openalex.org/W2796451317","https://openalex.org/W2896551426","https://openalex.org/W2922081326","https://openalex.org/W2922277817","https://openalex.org/W2926841353","https://openalex.org/W2938322754","https://openalex.org/W2985340026","https://openalex.org/W2995333345","https://openalex.org/W2998404579","https://openalex.org/W3005520998","https://openalex.org/W3016918359","https://openalex.org/W3017317138","https://openalex.org/W3022108258","https://openalex.org/W3025673990","https://openalex.org/W3049251048","https://openalex.org/W3080583316","https://openalex.org/W3089274412","https://openalex.org/W3098242055","https://openalex.org/W3120799887","https://openalex.org/W3130834185","https://openalex.org/W3146711799","https://openalex.org/W4280490104","https://openalex.org/W4286429205"],"related_works":["https://openalex.org/W2784026553","https://openalex.org/W3127518712","https://openalex.org/W2511063373","https://openalex.org/W3088852461","https://openalex.org/W2113824758","https://openalex.org/W2118264468","https://openalex.org/W2335243741","https://openalex.org/W2063140052","https://openalex.org/W2467364348","https://openalex.org/W2979048835"],"abstract_inverted_index":{"A":[0],"finite-time":[1,138,162],"output":[2,139],"consensus":[3,140],"control":[4,39,53,141],"problem":[5],"is":[6,29,55,67,74,89,122,143],"investigated":[7],"in":[8,51,76],"this":[9,20,132],"article":[10],"for":[11,87,123],"an":[12,58,70,84],"uncertain":[13],"nonlinear":[14],"high-order":[15],"multiagent":[16],"systems":[17],"(MASs).":[18],"For":[19],"class":[21],"of":[22,26,45,83,107,125,128,154,171],"MASs,":[23],"the":[24,34,77,81,108,117,151,155,169,172],"order":[25],"individual":[27],"follower":[28],"reduced":[30],"gradually":[31],"by":[32,116,145],"implementing":[33],"immersion":[35],"and":[36,42,80,94,111,150],"invariance":[37],"(I&I)":[38],"theory":[40,54],"repeatedly,":[41],"a":[43,92,105,134,147],"requirement":[44],"solving":[46],"partial":[47],"differential":[48],"equations":[49],"(PDEs)":[50],"I&I":[52,118],"obviated.":[56],"Furthermore,":[57],"I&I-based":[59,98],"radial":[60],"basis":[61],"function":[62],"neural":[63],"network":[64],"(RBFNN)":[65],"approximator":[66,100],"developed,":[68],"where":[69],"extra":[71],"cross":[72],"term":[73],"added":[75],"approximation":[78,126],"mechanism,":[79],"form":[82],"update":[85],"law":[86],"weights":[88],"transformed":[90],"into":[91],"proportional":[93],"integral":[95],"one.":[96],"This":[97],"RBFNN":[99],"does":[101],"not":[102],"rely":[103],"on":[104],"cancellation":[106],"perturbation":[109],"term,":[110],"these":[112],"uncertainties":[113],"are":[114],"reconstructed":[115],"manifold":[119],"adaptively,":[120],"which":[121],"improvement":[124],"behaviors":[127],"traditional":[129],"RBFNNs.":[130],"On":[131],"basis,":[133],"distributed":[135],"adaptive":[136],"forwarding":[137],"strategy":[142],"proposed":[144],"combining":[146],"sign":[148],"function,":[149],"convergence":[152],"time":[153],"MAS":[156],"can":[157],"be":[158],"adjusted":[159],"with":[160],"appropriate":[161],"parameters.":[163],"Finally,":[164],"two":[165],"illustrative":[166],"examples":[167],"verify":[168],"effectiveness":[170],"theoretical":[173],"claims.":[174]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}