{"id":"https://openalex.org/W3110911034","doi":"https://doi.org/10.1109/tcyb.2020.3037177","title":"A Dynamic Gain Approach to Consensus Control of Nonlinear Multiagent Systems With Time Delays","display_name":"A Dynamic Gain Approach to Consensus Control of Nonlinear Multiagent Systems With Time Delays","publication_year":2020,"publication_date":"2020-12-17","ids":{"openalex":"https://openalex.org/W3110911034","doi":"https://doi.org/10.1109/tcyb.2020.3037177","mag":"3110911034","pmid":"https://pubmed.ncbi.nlm.nih.gov/33332281"},"language":"en","primary_location":{"id":"doi:10.1109/tcyb.2020.3037177","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2020.3037177","pdf_url":null,"source":{"id":"https://openalex.org/S4210191041","display_name":"IEEE Transactions on Cybernetics","issn_l":"2168-2267","issn":["2168-2267","2168-2275"],"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 Cybernetics","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/A5057018278","display_name":"Hanfeng Li","orcid":"https://orcid.org/0000-0003-1485-7796"},"institutions":[{"id":"https://openalex.org/I154099455","display_name":"Shandong University","ror":"https://ror.org/0207yh398","country_code":"CN","type":"education","lineage":["https://openalex.org/I154099455"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Hanfeng Li","raw_affiliation_strings":["School of Control Science and Engineering, Shandong University, Jinan, China"],"affiliations":[{"raw_affiliation_string":"School of Control Science and Engineering, Shandong University, Jinan, China","institution_ids":["https://openalex.org/I154099455"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100641479","display_name":"Chenghui Zhang","orcid":"https://orcid.org/0000-0003-2317-5930"},"institutions":[{"id":"https://openalex.org/I154099455","display_name":"Shandong University","ror":"https://ror.org/0207yh398","country_code":"CN","type":"education","lineage":["https://openalex.org/I154099455"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chenghui Zhang","raw_affiliation_strings":["School of Control Science and Engineering, Shandong University, Jinan, China"],"affiliations":[{"raw_affiliation_string":"School of Control Science and Engineering, Shandong University, Jinan, China","institution_ids":["https://openalex.org/I154099455"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031757773","display_name":"Shuai Liu","orcid":"https://orcid.org/0000-0002-9412-1430"},"institutions":[{"id":"https://openalex.org/I154099455","display_name":"Shandong University","ror":"https://ror.org/0207yh398","country_code":"CN","type":"education","lineage":["https://openalex.org/I154099455"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shuai Liu","raw_affiliation_strings":["School of Control Science and Engineering, Shandong University, Jinan, China"],"affiliations":[{"raw_affiliation_string":"School of Control Science and Engineering, Shandong University, Jinan, China","institution_ids":["https://openalex.org/I154099455"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5045929873","display_name":"Xianfu Zhang","orcid":"https://orcid.org/0000-0001-9232-6099"},"institutions":[{"id":"https://openalex.org/I154099455","display_name":"Shandong University","ror":"https://ror.org/0207yh398","country_code":"CN","type":"education","lineage":["https://openalex.org/I154099455"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xianfu Zhang","raw_affiliation_strings":["School of Control Science and Engineering, Shandong University, Jinan, China"],"affiliations":[{"raw_affiliation_string":"School of Control Science and Engineering, Shandong University, Jinan, China","institution_ids":["https://openalex.org/I154099455"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5057018278"],"corresponding_institution_ids":["https://openalex.org/I154099455"],"apc_list":null,"apc_paid":null,"fwci":4.5294,"has_fulltext":false,"cited_by_count":41,"citation_normalized_percentile":{"value":0.94955015,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":"52","issue":"7","first_page":"6993","last_page":"7001"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":1.0,"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":1.0,"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/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9983999729156494,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9962999820709229,"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/backstepping","display_name":"Backstepping","score":0.7432880997657776},{"id":"https://openalex.org/keywords/multi-agent-system","display_name":"Multi-agent system","score":0.7392823696136475},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.7041782140731812},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6636131405830383},{"id":"https://openalex.org/keywords/observer","display_name":"Observer (physics)","score":0.6421096920967102},{"id":"https://openalex.org/keywords/lipschitz-continuity","display_name":"Lipschitz continuity","score":0.6116078495979309},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6063006520271301},{"id":"https://openalex.org/keywords/protocol","display_name":"Protocol (science)","score":0.5986101031303406},{"id":"https://openalex.org/keywords/consensus","display_name":"Consensus","score":0.598311722278595},{"id":"https://openalex.org/keywords/small-gain-theorem","display_name":"Small-gain theorem","score":0.512234628200531},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.4525716006755829},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.45147907733917236},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.4204915165901184},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.306174635887146},{"id":"https://openalex.org/keywords/adaptive-control","display_name":"Adaptive control","score":0.19309920072555542},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08456471562385559},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.06715726852416992}],"concepts":[{"id":"https://openalex.org/C72218879","wikidata":"https://www.wikidata.org/wiki/Q4839759","display_name":"Backstepping","level":4,"score":0.7432880997657776},{"id":"https://openalex.org/C41550386","wikidata":"https://www.wikidata.org/wiki/Q529909","display_name":"Multi-agent system","level":2,"score":0.7392823696136475},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7041782140731812},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6636131405830383},{"id":"https://openalex.org/C2780704645","wikidata":"https://www.wikidata.org/wiki/Q9251458","display_name":"Observer (physics)","level":2,"score":0.6421096920967102},{"id":"https://openalex.org/C22324862","wikidata":"https://www.wikidata.org/wiki/Q652707","display_name":"Lipschitz continuity","level":2,"score":0.6116078495979309},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6063006520271301},{"id":"https://openalex.org/C2780385302","wikidata":"https://www.wikidata.org/wiki/Q367158","display_name":"Protocol (science)","level":3,"score":0.5986101031303406},{"id":"https://openalex.org/C107107730","wikidata":"https://www.wikidata.org/wiki/Q2994424","display_name":"Consensus","level":3,"score":0.598311722278595},{"id":"https://openalex.org/C27385263","wikidata":"https://www.wikidata.org/wiki/Q4165677","display_name":"Small-gain theorem","level":3,"score":0.512234628200531},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.4525716006755829},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.45147907733917236},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.4204915165901184},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.306174635887146},{"id":"https://openalex.org/C107464732","wikidata":"https://www.wikidata.org/wiki/Q235781","display_name":"Adaptive control","level":3,"score":0.19309920072555542},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08456471562385559},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.06715726852416992},{"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/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","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},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C142724271","wikidata":"https://www.wikidata.org/wiki/Q7208","display_name":"Pathology","level":1,"score":0.0},{"id":"https://openalex.org/C204787440","wikidata":"https://www.wikidata.org/wiki/Q188504","display_name":"Alternative medicine","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tcyb.2020.3037177","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2020.3037177","pdf_url":null,"source":{"id":"https://openalex.org/S4210191041","display_name":"IEEE Transactions on Cybernetics","issn_l":"2168-2267","issn":["2168-2267","2168-2275"],"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 Cybernetics","raw_type":"journal-article"},{"id":"pmid:33332281","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/33332281","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 cybernetics","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2861249327","display_name":null,"funder_award_id":"61973189","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4313769250","display_name":null,"funder_award_id":"61733010","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7323479029","display_name":null,"funder_award_id":"61873334","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8145798517","display_name":null,"funder_award_id":"62073190","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8727478690","display_name":null,"funder_award_id":"ts20190905","funder_id":"https://openalex.org/F4320326185","funder_display_name":"Taishan Scholar Foundation of Shandong Province"},{"id":"https://openalex.org/G878655878","display_name":null,"funder_award_id":"61821004","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/F4320326185","display_name":"Taishan Scholar Foundation of Shandong Province","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W1223467140","https://openalex.org/W2012187627","https://openalex.org/W2038896449","https://openalex.org/W2040738659","https://openalex.org/W2066544832","https://openalex.org/W2073339598","https://openalex.org/W2076224259","https://openalex.org/W2081851800","https://openalex.org/W2083974095","https://openalex.org/W2124240834","https://openalex.org/W2125462301","https://openalex.org/W2147201302","https://openalex.org/W2229344449","https://openalex.org/W2283198471","https://openalex.org/W2501602109","https://openalex.org/W2513252608","https://openalex.org/W2530077971","https://openalex.org/W2554856965","https://openalex.org/W2592360218","https://openalex.org/W2620014394","https://openalex.org/W2730095629","https://openalex.org/W2761616460","https://openalex.org/W2782006592","https://openalex.org/W2790389815","https://openalex.org/W2791433162","https://openalex.org/W2794361571","https://openalex.org/W2802166347","https://openalex.org/W2901162217","https://openalex.org/W2916105681","https://openalex.org/W2947669040","https://openalex.org/W2978823475","https://openalex.org/W2984884911","https://openalex.org/W2995248472","https://openalex.org/W3003866306","https://openalex.org/W3013380164","https://openalex.org/W3036283978","https://openalex.org/W3039101417","https://openalex.org/W3082001340","https://openalex.org/W4211202937"],"related_works":["https://openalex.org/W2053860764","https://openalex.org/W2784200061","https://openalex.org/W2784026553","https://openalex.org/W2511063373","https://openalex.org/W3127518712","https://openalex.org/W3088852461","https://openalex.org/W2113824758","https://openalex.org/W3046085425","https://openalex.org/W2118264468","https://openalex.org/W2963943213"],"abstract_inverted_index":{"This":[0],"article":[1],"proposes":[2],"a":[3,71,83,140,152],"dynamic":[4,46,114],"gain":[5,47,115,136],"approach":[6],"for":[7,52,78,118],"investigating":[8],"the":[9,32,37,58,62,91,95,98,104,110,113,123,129,134,146],"leader-follower":[10],"consensus":[11,96,106,124],"problem":[12],"of":[13,61,97,145],"nonlinear":[14],"multiagent":[15,99],"systems":[16],"with":[17,40,103],"both":[18],"distributed":[19,72],"delays":[20],"and":[21,35,64],"discrete":[22],"delays.":[23],"It":[24,87],"is":[25,30,49,76,88,101,116,137,149],"assumed":[26],"that":[27,94],"each":[28,53,79,119],"agent":[29,81],"in":[31,139],"strict-feedback":[33],"form":[34],"satisfies":[36],"Lipschitz":[38],"condition":[39],"an":[41,69],"unknown":[42],"constant.":[43],"A":[44],"novel":[45],"observer":[48],"first":[50],"constructed":[51,117],"follower":[54,63,80,120],"by":[55,90,151],"only":[56],"utilizing":[57],"output":[59],"information":[60],"its":[65],"neighbors.":[66],"By":[67],"introducing":[68],"observer,":[70],"output-feedback":[73],"control":[74],"protocol":[75],"designed":[77,138],"under":[82],"directed":[84],"communication":[85],"topology.":[86],"proved":[89],"Lyapunov-Razumikhin":[92],"theorem":[93],"system":[100],"achieved":[102],"proposed":[105,147],"protocol.":[107],"Different":[108],"from":[109],"existing":[111],"results,":[112],"to":[121,128],"propose":[122],"protocol,":[125],"without":[126],"resorting":[127],"celebrated":[130],"backstepping":[131],"technique.":[132],"Moreover,":[133],"time-varying":[135],"uniform":[141],"framework.":[142],"The":[143],"effectiveness":[144],"approaches":[148],"illustrated":[150],"simulation":[153],"example.":[154]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":9},{"year":2022,"cited_by_count":8},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":4}],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-10-10T00:00:00"}