{"id":"https://openalex.org/W2790984073","doi":"https://doi.org/10.1109/tac.2018.2798808","title":"Dynamic Formation Control Over Directed Networks Using Graphical Laplacian Approach","display_name":"Dynamic Formation Control Over Directed Networks Using Graphical Laplacian Approach","publication_year":2018,"publication_date":"2018-01-26","ids":{"openalex":"https://openalex.org/W2790984073","doi":"https://doi.org/10.1109/tac.2018.2798808","mag":"2790984073"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2018.2798808","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2018.2798808","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"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 Automatic Control","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/A5037854048","display_name":"Xiuxian Li","orcid":"https://orcid.org/0000-0002-4938-0468"},"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":true,"raw_author_name":"Xiuxian Li","raw_affiliation_strings":["School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore"],"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":"https://openalex.org/A5100365448","display_name":"Lihua Xie","orcid":"https://orcid.org/0000-0002-7137-4136"},"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":"Lihua Xie","raw_affiliation_strings":["School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore"],"affiliations":[{"raw_affiliation_string":"School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore","institution_ids":["https://openalex.org/I172675005"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5037854048"],"corresponding_institution_ids":["https://openalex.org/I172675005"],"apc_list":null,"apc_paid":null,"fwci":5.1669,"has_fulltext":false,"cited_by_count":47,"citation_normalized_percentile":{"value":0.95854574,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":99},"biblio":{"volume":"63","issue":"11","first_page":"3761","last_page":"3774"},"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":0.9994000196456909,"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/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9926999807357788,"subfield":{"id":"https://openalex.org/subfields/2739","display_name":"Public Health, Environmental and Occupational Health"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/laplacian-matrix","display_name":"Laplacian matrix","score":0.7174232602119446},{"id":"https://openalex.org/keywords/laplace-operator","display_name":"Laplace operator","score":0.6980516910552979},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.6306405067443848},{"id":"https://openalex.org/keywords/flexibility","display_name":"Flexibility (engineering)","score":0.5849071145057678},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5261352062225342},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5086765885353088},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3816295266151428},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3597765862941742},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.35817062854766846},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.3236480951309204},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.174769788980484},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.11117243766784668}],"concepts":[{"id":"https://openalex.org/C115178988","wikidata":"https://www.wikidata.org/wiki/Q772067","display_name":"Laplacian matrix","level":3,"score":0.7174232602119446},{"id":"https://openalex.org/C165700671","wikidata":"https://www.wikidata.org/wiki/Q203484","display_name":"Laplace operator","level":2,"score":0.6980516910552979},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.6306405067443848},{"id":"https://openalex.org/C2780598303","wikidata":"https://www.wikidata.org/wiki/Q65921492","display_name":"Flexibility (engineering)","level":2,"score":0.5849071145057678},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5261352062225342},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5086765885353088},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3816295266151428},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3597765862941742},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.35817062854766846},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.3236480951309204},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.174769788980484},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11117243766784668},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tac.2018.2798808","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2018.2798808","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"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 Automatic Control","raw_type":"journal-article"},{"id":"pmh:oai:dr.ntu.edu.sg:10356/145328","is_oa":false,"landing_page_url":"https://hdl.handle.net/10356/145328","pdf_url":null,"source":{"id":"https://openalex.org/S4306402609","display_name":"DR-NTU (Nanyang Technological University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I172675005","host_organization_name":"Nanyang Technological University","host_organization_lineage":["https://openalex.org/I172675005"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Journal Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4470808722","display_name":null,"funder_award_id":"RG78/15","funder_id":"https://openalex.org/F4320320751","funder_display_name":"Ministry of Education - Singapore"}],"funders":[{"id":"https://openalex.org/F4320320751","display_name":"Ministry of Education - Singapore","ror":"https://ror.org/01kcva023"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":49,"referenced_works":["https://openalex.org/W136674921","https://openalex.org/W570692787","https://openalex.org/W1495971413","https://openalex.org/W1503019334","https://openalex.org/W1564897360","https://openalex.org/W1635192251","https://openalex.org/W1974515126","https://openalex.org/W1980755499","https://openalex.org/W1981826826","https://openalex.org/W1982947074","https://openalex.org/W1988164323","https://openalex.org/W2022307106","https://openalex.org/W2036571133","https://openalex.org/W2041328720","https://openalex.org/W2042733674","https://openalex.org/W2050505323","https://openalex.org/W2053737530","https://openalex.org/W2059529072","https://openalex.org/W2074823003","https://openalex.org/W2093848766","https://openalex.org/W2115775310","https://openalex.org/W2119693819","https://openalex.org/W2125462301","https://openalex.org/W2140893684","https://openalex.org/W2143896563","https://openalex.org/W2146890818","https://openalex.org/W2147326597","https://openalex.org/W2162496869","https://openalex.org/W2165413656","https://openalex.org/W2171541671","https://openalex.org/W2343580824","https://openalex.org/W2344328405","https://openalex.org/W2428303113","https://openalex.org/W2460835493","https://openalex.org/W2472069939","https://openalex.org/W2474873663","https://openalex.org/W2484146727","https://openalex.org/W2487290836","https://openalex.org/W2508148686","https://openalex.org/W2509152809","https://openalex.org/W2522669551","https://openalex.org/W2526626679","https://openalex.org/W2590210788","https://openalex.org/W2598532228","https://openalex.org/W2604390213","https://openalex.org/W2786469707","https://openalex.org/W2943966153","https://openalex.org/W2963345491","https://openalex.org/W3141776272"],"related_works":["https://openalex.org/W2570009360","https://openalex.org/W4321440274","https://openalex.org/W3004345458","https://openalex.org/W2883186538","https://openalex.org/W2051180862","https://openalex.org/W1976439244","https://openalex.org/W2402951419","https://openalex.org/W2896947499","https://openalex.org/W4244587941","https://openalex.org/W2362501828"],"abstract_inverted_index":{"This":[0],"paper":[1],"investigates":[2],"the":[3,30,34,37,119,132,151,162,165],"dynamic":[4,136,144],"formation":[5,57,74,137],"control":[6],"problem":[7],"for":[8,54,73,104,130,160],"multi-agent":[9],"systems":[10],"over":[11],"directed":[12],"networks,":[13],"in":[14,29,86,108],"which":[15],"a":[16,56,70,98,135],"desired":[17],"spatial":[18],"shape":[19,58,146],"is":[20,76,79,106,116,140],"time-varying":[21],"instead":[22],"of":[23,134,164],"fixed":[24],"one":[25],"as":[26],"usually":[27],"assumed":[28],"literature.":[31],"Inspired":[32],"by":[33,150],"fact":[35],"that":[36,78,118,142],"existing":[38],"approaches,":[39],"including":[40],"absolute":[41],"positions":[42,45],"based,":[43,46,49,53],"relative":[44],"inter-agent":[47,51],"distances":[48],"and":[50,68,84,88,91],"bearings":[52],"specifying":[55],"are":[59,128,158],"not":[60],"invariant":[61,80],"under":[62,81],"all":[63],"three":[64],"transformations:":[65],"translations,":[66,82],"rotations,":[67,83],"scalings,":[69],"novel":[71],"specification":[72],"shapes":[75],"proposed":[77],"scalings":[85],"two-":[87],"three-dimensional":[89],"spaces,":[90],"thus":[92],"more":[93],"intrinsic.":[94],"In":[95],"doing":[96],"so,":[97],"new":[99],"notion,":[100],"called":[101],"matrix-valued":[102,120],"Laplacian,":[103],"graphs":[105],"introduced":[107],"detail":[109],"along":[110],"with":[111],"some":[112],"useful":[113],"properties.":[114],"It":[115,139],"demonstrated":[117],"Laplacian":[121],"provides":[122],"much":[123],"flexibility.":[124],"Subsequently,":[125],"two":[126,155],"controllers":[127],"designed":[129,152],"guaranteeing":[131],"achievement":[133],"shape.":[138],"proved":[141],"arbitrary":[143],"geometric":[145],"can":[147],"be":[148],"reached":[149],"controllers.":[153],"Finally,":[154],"numerical":[156],"examples":[157],"provided":[159],"demonstrating":[161],"effectiveness":[163],"theoretical":[166],"results.":[167]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":10},{"year":2019,"cited_by_count":9},{"year":2018,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
