{"id":"https://openalex.org/W4214682527","doi":"https://doi.org/10.1109/tcns.2022.3153870","title":"Scaled Consensus Over a Network of Wave Equations","display_name":"Scaled Consensus Over a Network of Wave Equations","publication_year":2022,"publication_date":"2022-02-25","ids":{"openalex":"https://openalex.org/W4214682527","doi":"https://doi.org/10.1109/tcns.2022.3153870"},"language":"en","primary_location":{"id":"doi:10.1109/tcns.2022.3153870","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcns.2022.3153870","pdf_url":null,"source":{"id":"https://openalex.org/S2502544478","display_name":"IEEE Transactions on Control of Network Systems","issn_l":"2325-5870","issn":["2325-5870","2372-2533"],"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 Control of Network Systems","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/A5101853232","display_name":"Yining Chen","orcid":null},"institutions":[{"id":"https://openalex.org/I198091727","display_name":"Tianjin Polytechnic University","ror":"https://ror.org/00xsr9m91","country_code":"CN","type":"education","lineage":["https://openalex.org/I198091727"]},{"id":"https://openalex.org/I162868743","display_name":"Tianjin University","ror":"https://ror.org/012tb2g32","country_code":"CN","type":"education","lineage":["https://openalex.org/I162868743"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yining Chen","raw_affiliation_strings":["Tianjin Key Laboratory of Process Measurement and Control, School of Electrical and Information Engineering, Tianjin University, Tianjin, China","School of Artificial Intelligence, Tiangong University, Tianjin, China"],"affiliations":[{"raw_affiliation_string":"Tianjin Key Laboratory of Process Measurement and Control, School of Electrical and Information Engineering, Tianjin University, Tianjin, China","institution_ids":["https://openalex.org/I162868743"]},{"raw_affiliation_string":"School of Artificial Intelligence, Tiangong University, Tianjin, China","institution_ids":["https://openalex.org/I198091727"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037713727","display_name":"Zhiqiang Zuo","orcid":"https://orcid.org/0000-0002-4566-7488"},"institutions":[{"id":"https://openalex.org/I162868743","display_name":"Tianjin University","ror":"https://ror.org/012tb2g32","country_code":"CN","type":"education","lineage":["https://openalex.org/I162868743"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhiqiang Zuo","raw_affiliation_strings":["Tianjin Key Laboratory of Process Measurement and Control, School of Electrical and Information Engineering, Tianjin University, Tianjin, China"],"affiliations":[{"raw_affiliation_string":"Tianjin Key Laboratory of Process Measurement and Control, School of Electrical and Information Engineering, Tianjin University, Tianjin, China","institution_ids":["https://openalex.org/I162868743"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100780980","display_name":"Yijing Wang","orcid":"https://orcid.org/0000-0002-2430-7213"},"institutions":[{"id":"https://openalex.org/I162868743","display_name":"Tianjin University","ror":"https://ror.org/012tb2g32","country_code":"CN","type":"education","lineage":["https://openalex.org/I162868743"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yijing Wang","raw_affiliation_strings":["Tianjin Key Laboratory of Process Measurement and Control, School of Electrical and Information Engineering, Tianjin University, Tianjin, China"],"affiliations":[{"raw_affiliation_string":"Tianjin Key Laboratory of Process Measurement and Control, School of Electrical and Information Engineering, Tianjin University, Tianjin, China","institution_ids":["https://openalex.org/I162868743"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5101853232"],"corresponding_institution_ids":["https://openalex.org/I162868743","https://openalex.org/I198091727"],"apc_list":null,"apc_paid":null,"fwci":1.3806,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.81244138,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"9","issue":"3","first_page":"1385","last_page":"1396"},"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/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9998000264167786,"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9997000098228455,"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/lyapunov-function","display_name":"Lyapunov function","score":0.6177909970283508},{"id":"https://openalex.org/keywords/consensus","display_name":"Consensus","score":0.5655970573425293},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.539092481136322},{"id":"https://openalex.org/keywords/semigroup","display_name":"Semigroup","score":0.5193877816200256},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5099431276321411},{"id":"https://openalex.org/keywords/protocol","display_name":"Protocol (science)","score":0.5002083778381348},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.48677918314933777},{"id":"https://openalex.org/keywords/uniform-consensus","display_name":"Uniform consensus","score":0.47394469380378723},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.45316094160079956},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.420524537563324},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39113926887512207},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.36254197359085083},{"id":"https://openalex.org/keywords/multi-agent-system","display_name":"Multi-agent system","score":0.35044461488723755},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.28290802240371704},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.20225143432617188},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.15419182181358337},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.14627385139465332},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08381989598274231}],"concepts":[{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.6177909970283508},{"id":"https://openalex.org/C107107730","wikidata":"https://www.wikidata.org/wiki/Q2994424","display_name":"Consensus","level":3,"score":0.5655970573425293},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.539092481136322},{"id":"https://openalex.org/C207405024","wikidata":"https://www.wikidata.org/wiki/Q207348","display_name":"Semigroup","level":2,"score":0.5193877816200256},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5099431276321411},{"id":"https://openalex.org/C2780385302","wikidata":"https://www.wikidata.org/wiki/Q367158","display_name":"Protocol (science)","level":3,"score":0.5002083778381348},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.48677918314933777},{"id":"https://openalex.org/C80966040","wikidata":"https://www.wikidata.org/wiki/Q7885028","display_name":"Uniform consensus","level":4,"score":0.47394469380378723},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.45316094160079956},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.420524537563324},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39113926887512207},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.36254197359085083},{"id":"https://openalex.org/C41550386","wikidata":"https://www.wikidata.org/wiki/Q529909","display_name":"Multi-agent system","level":2,"score":0.35044461488723755},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.28290802240371704},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.20225143432617188},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.15419182181358337},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14627385139465332},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08381989598274231},{"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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","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/C204787440","wikidata":"https://www.wikidata.org/wiki/Q188504","display_name":"Alternative medicine","level":2,"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/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":1,"locations":[{"id":"doi:10.1109/tcns.2022.3153870","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcns.2022.3153870","pdf_url":null,"source":{"id":"https://openalex.org/S2502544478","display_name":"IEEE Transactions on Control of Network Systems","issn_l":"2325-5870","issn":["2325-5870","2372-2533"],"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 Control of Network Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G122899604","display_name":null,"funder_award_id":"62173243","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4940286855","display_name":null,"funder_award_id":"61773281","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6347684835","display_name":null,"funder_award_id":"61933014","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":46,"referenced_works":["https://openalex.org/W203646022","https://openalex.org/W1527296550","https://openalex.org/W1920452560","https://openalex.org/W1967509640","https://openalex.org/W1973963158","https://openalex.org/W1978496626","https://openalex.org/W1983415837","https://openalex.org/W2107396783","https://openalex.org/W2108011767","https://openalex.org/W2111838183","https://openalex.org/W2116744147","https://openalex.org/W2118909312","https://openalex.org/W2143843955","https://openalex.org/W2165744313","https://openalex.org/W2166103243","https://openalex.org/W2174131002","https://openalex.org/W2343734929","https://openalex.org/W2350483109","https://openalex.org/W2402931367","https://openalex.org/W2512539698","https://openalex.org/W2513252608","https://openalex.org/W2583146639","https://openalex.org/W2601650704","https://openalex.org/W2766410575","https://openalex.org/W2773491887","https://openalex.org/W2791681172","https://openalex.org/W2799885419","https://openalex.org/W2909762439","https://openalex.org/W2911261112","https://openalex.org/W2914093421","https://openalex.org/W2944894127","https://openalex.org/W2962812904","https://openalex.org/W2973194048","https://openalex.org/W2980294391","https://openalex.org/W2983568604","https://openalex.org/W2998854387","https://openalex.org/W3007649046","https://openalex.org/W3011108628","https://openalex.org/W3045856073","https://openalex.org/W3107585451","https://openalex.org/W3119508157","https://openalex.org/W3122375037","https://openalex.org/W3158082751","https://openalex.org/W3161886988","https://openalex.org/W3169255098","https://openalex.org/W4295016751"],"related_works":["https://openalex.org/W2017057923","https://openalex.org/W2118264468","https://openalex.org/W2785901872","https://openalex.org/W2021821379","https://openalex.org/W2493768651","https://openalex.org/W2335243741","https://openalex.org/W2032218247","https://openalex.org/W2002561675","https://openalex.org/W2113824758","https://openalex.org/W2342294471"],"abstract_inverted_index":{"In":[0],"this":[1,31],"article,":[2],"the":[3,23,27,39,53,62,71,74,82,97],"scaled":[4,50,88],"consensus":[5,89],"issue":[6],"for":[7,38],"a":[8,18,33,43,86],"network":[9],"of":[10,55,73],"wave":[11],"partial":[12],"differential":[13],"equations":[14],"is":[15,36,46,77],"investigated":[16],"in":[17],"directed":[19],"communication":[20],"setting,":[21],"where":[22],"agent":[24],"states":[25],"approach":[26],"dictated":[28],"ratios.":[29],"To":[30],"end,":[32],"distributed":[34],"protocol":[35],"proposed":[37,98],"considered":[40],"system.":[41],"Then,":[42],"Lyapunov":[44],"function":[45],"constructed":[47],"to":[48,60,85,95],"ensure":[49],"consensus,":[51],"wherein":[52],"properties":[54],"algebraic":[56],"connectivity":[57],"are":[58,93],"employed":[59],"handle":[61],"asymmetric":[63],"interaction":[64],"matrix.":[65],"Using":[66],"tools":[67],"from":[68],"semigroup":[69],"theory,":[70],"well-posedness":[72],"underlying":[75],"system":[76],"guaranteed.":[78],"Moreover,":[79],"we":[80],"extend":[81],"derived":[83],"results":[84],"leader-following":[87],"scenario.":[90],"Numerical":[91],"examples":[92],"presented":[94],"support":[96],"setup.":[99]},"counts_by_year":[{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
