{"id":"https://openalex.org/W2320478320","doi":"https://doi.org/10.1109/tcyb.2016.2532898","title":"A PD-Like Protocol With a Time Delay to Average Consensus Control for Multi-Agent Systems Under an Arbitrarily Fast Switching Topology","display_name":"A PD-Like Protocol With a Time Delay to Average Consensus Control for Multi-Agent Systems Under an Arbitrarily Fast Switching Topology","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W2320478320","doi":"https://doi.org/10.1109/tcyb.2016.2532898","mag":"2320478320","pmid":"https://pubmed.ncbi.nlm.nih.gov/28113487"},"language":"en","primary_location":{"id":"doi:10.1109/tcyb.2016.2532898","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2016.2532898","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/A5100391459","display_name":"Dong Wang","orcid":"https://orcid.org/0000-0002-2493-1032"},"institutions":[{"id":"https://openalex.org/I27357992","display_name":"Dalian University of Technology","ror":"https://ror.org/023hj5876","country_code":"CN","type":"education","lineage":["https://openalex.org/I27357992"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Dong Wang","raw_affiliation_strings":["School of Control Science and Engineering, Dalian University of Technology, Dalian, China"],"raw_orcid":"https://orcid.org/0000-0002-2493-1032","affiliations":[{"raw_affiliation_string":"School of Control Science and Engineering, Dalian University of Technology, Dalian, China","institution_ids":["https://openalex.org/I27357992"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100404914","display_name":"Ning Zhang","orcid":"https://orcid.org/0000-0003-2893-5505"},"institutions":[{"id":"https://openalex.org/I27357992","display_name":"Dalian University of Technology","ror":"https://ror.org/023hj5876","country_code":"CN","type":"education","lineage":["https://openalex.org/I27357992"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ning Zhang","raw_affiliation_strings":["School of Control Science and Engineering, Dalian University of Technology, Dalian, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Control Science and Engineering, Dalian University of Technology, Dalian, China","institution_ids":["https://openalex.org/I27357992"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Jianliang Wang","orcid":"https://orcid.org/0000-0002-2493-1032"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Jianliang Wang","raw_affiliation_strings":["School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore"],"raw_orcid":"https://orcid.org/0000-0002-2493-1032","affiliations":[{"raw_affiliation_string":"School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore","institution_ids":["https://openalex.org/I172675005"]}]},{"author_position":"last","author":{"id":null,"display_name":"Wei Wang","orcid":"https://orcid.org/0000-0002-2493-1032"},"institutions":[{"id":"https://openalex.org/I27357992","display_name":"Dalian University of Technology","ror":"https://ror.org/023hj5876","country_code":"CN","type":"education","lineage":["https://openalex.org/I27357992"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wei Wang","raw_affiliation_strings":["School of Control Science and Engineering, Dalian University of Technology, Dalian, China"],"raw_orcid":"https://orcid.org/0000-0002-2493-1032","affiliations":[{"raw_affiliation_string":"School of Control Science and Engineering, Dalian University of Technology, Dalian, China","institution_ids":["https://openalex.org/I27357992"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5100391459"],"corresponding_institution_ids":["https://openalex.org/I27357992"],"apc_list":null,"apc_paid":null,"fwci":19.1962,"has_fulltext":false,"cited_by_count":124,"citation_normalized_percentile":{"value":0.99418088,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":100},"biblio":{"volume":"47","issue":"4","first_page":"1","last_page":"10"},"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":0.9976000189781189,"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/T11133","display_name":"UAV Applications and Optimization","score":0.9800000190734863,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/lipschitz-continuity","display_name":"Lipschitz continuity","score":0.8393887281417847},{"id":"https://openalex.org/keywords/consensus","display_name":"Consensus","score":0.6781800389289856},{"id":"https://openalex.org/keywords/multi-agent-system","display_name":"Multi-agent system","score":0.6720383167266846},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6305054426193237},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6229919195175171},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.5611668825149536},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5239929556846619},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.4700948894023895},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4390137195587158},{"id":"https://openalex.org/keywords/protocol","display_name":"Protocol (science)","score":0.429651141166687},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.41236424446105957},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.2748234272003174},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09152474999427795}],"concepts":[{"id":"https://openalex.org/C22324862","wikidata":"https://www.wikidata.org/wiki/Q652707","display_name":"Lipschitz continuity","level":2,"score":0.8393887281417847},{"id":"https://openalex.org/C107107730","wikidata":"https://www.wikidata.org/wiki/Q2994424","display_name":"Consensus","level":3,"score":0.6781800389289856},{"id":"https://openalex.org/C41550386","wikidata":"https://www.wikidata.org/wiki/Q529909","display_name":"Multi-agent system","level":2,"score":0.6720383167266846},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6305054426193237},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6229919195175171},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.5611668825149536},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5239929556846619},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.4700948894023895},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4390137195587158},{"id":"https://openalex.org/C2780385302","wikidata":"https://www.wikidata.org/wiki/Q367158","display_name":"Protocol (science)","level":3,"score":0.429651141166687},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41236424446105957},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.2748234272003174},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09152474999427795},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","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},{"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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","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},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C142724271","wikidata":"https://www.wikidata.org/wiki/Q7208","display_name":"Pathology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tcyb.2016.2532898","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2016.2532898","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:28113487","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/28113487","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":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.49000000953674316}],"awards":[{"id":"https://openalex.org/G1662050114","display_name":null,"funder_award_id":"61473055","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G449178121","display_name":null,"funder_award_id":"61374070","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W1605963475","https://openalex.org/W1976907074","https://openalex.org/W1981934471","https://openalex.org/W1982469113","https://openalex.org/W1990022107","https://openalex.org/W2000806524","https://openalex.org/W2002257972","https://openalex.org/W2004210493","https://openalex.org/W2004511412","https://openalex.org/W2006958879","https://openalex.org/W2011324716","https://openalex.org/W2012562254","https://openalex.org/W2021016580","https://openalex.org/W2024663085","https://openalex.org/W2036116385","https://openalex.org/W2040313521","https://openalex.org/W2041151345","https://openalex.org/W2041511178","https://openalex.org/W2055953081","https://openalex.org/W2057996828","https://openalex.org/W2074341830","https://openalex.org/W2097345808","https://openalex.org/W2104040866","https://openalex.org/W2120791740","https://openalex.org/W2121538163","https://openalex.org/W2131992611","https://openalex.org/W2139542706","https://openalex.org/W2160420729","https://openalex.org/W2160643434","https://openalex.org/W2167260329","https://openalex.org/W2580871152"],"related_works":["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","https://openalex.org/W2335243741"],"abstract_inverted_index":{"This":[0],"paper":[1],"is":[2,38,52,66],"concerned":[3],"with":[4,14,34],"the":[5,55,85,97,111,114],"problem":[6,51,57],"of":[7,58,113],"average":[8,86],"consensus":[9,29,87],"control":[10],"for":[11,31,88],"multi-agent":[12,89],"systems":[13,90],"linear":[15,32],"and":[16,27,78],"Lipschitz":[17,98],"nonlinear":[18,99],"dynamics":[19],"under":[20,91],"a":[21,25,35,43,46,50,59,70,75],"switching":[22],"topology.":[23],"First,":[24],"proportional":[26],"derivative-like":[28],"algorithm":[30],"cases":[33,100],"time":[36],"delay":[37,61],"designed":[39],"to":[40,54,83,96,109],"address":[41],"such":[42,49],"problem.":[44],"By":[45],"system":[47],"transformation,":[48],"converted":[53],"stability":[56,64],"switched":[60],"system.":[62],"The":[63],"analysis":[65],"performed":[67],"based":[68],"on":[69],"proposed":[71],"Lyapunov-Krasoversusii":[72],"functional":[73],"including":[74],"triple-integral":[76],"term":[77],"sufficient":[79],"conditions":[80],"are":[81,101,107],"obtained":[82],"guarantee":[84],"arbitrary":[92],"switching.":[93],"Second,":[94],"extensions":[95],"further":[102],"presented.":[103],"Finally,":[104],"numerical":[105],"examples":[106],"given":[108],"illustrate":[110],"effectiveness":[112],"results.":[115]},"counts_by_year":[{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":8},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":14},{"year":2020,"cited_by_count":18},{"year":2019,"cited_by_count":25},{"year":2018,"cited_by_count":27},{"year":2017,"cited_by_count":10},{"year":2016,"cited_by_count":3}],"updated_date":"2026-05-03T08:25:01.440150","created_date":"2025-10-10T00:00:00"}