{"id":"https://openalex.org/W2107018255","doi":"https://doi.org/10.1109/acc.2011.5991056","title":"Distance-based formation control using euclidean distance dynamics matrix: Three-agent case","display_name":"Distance-based formation control using euclidean distance dynamics matrix: Three-agent case","publication_year":2011,"publication_date":"2011-06-01","ids":{"openalex":"https://openalex.org/W2107018255","doi":"https://doi.org/10.1109/acc.2011.5991056","mag":"2107018255"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2011.5991056","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2011.5991056","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2011 American Control Conference","raw_type":"proceedings-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/A5081849101","display_name":"Kwang\u2010Kyo Oh","orcid":"https://orcid.org/0000-0003-1020-7286"},"institutions":[{"id":"https://openalex.org/I39534123","display_name":"Gwangju Institute of Science and Technology","ror":"https://ror.org/024kbgz78","country_code":"KR","type":"education","lineage":["https://openalex.org/I39534123"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Kwang-Kyo Oh","raw_affiliation_strings":["School of Mechatronics, Gwangju Institute of Science and Technology (GIST), 261 Cheomdan-gwagiro, Buk-gu, 500-712 Korea","School of Mechatronics, Gwangju Institute of Science and Technology, (GIST), 261 Cheomdan-gwagiro, Buk-gu, 500-712, Korea"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mechatronics, Gwangju Institute of Science and Technology (GIST), 261 Cheomdan-gwagiro, Buk-gu, 500-712 Korea","institution_ids":["https://openalex.org/I39534123"]},{"raw_affiliation_string":"School of Mechatronics, Gwangju Institute of Science and Technology, (GIST), 261 Cheomdan-gwagiro, Buk-gu, 500-712, Korea","institution_ids":["https://openalex.org/I39534123"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5003982643","display_name":"Hyo\u2010Sung Ahn","orcid":"https://orcid.org/0000-0002-7939-0093"},"institutions":[{"id":"https://openalex.org/I39534123","display_name":"Gwangju Institute of Science and Technology","ror":"https://ror.org/024kbgz78","country_code":"KR","type":"education","lineage":["https://openalex.org/I39534123"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Hyo-Sung Ahn","raw_affiliation_strings":["School of Mechatronics, Gwangju Institute of Science and Technology (GIST), 261 Cheomdan-gwagiro, Buk-gu, 500-712 Korea","School of Mechatronics, Gwangju Institute of Science and Technology, (GIST), 261 Cheomdan-gwagiro, Buk-gu, 500-712, Korea"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mechatronics, Gwangju Institute of Science and Technology (GIST), 261 Cheomdan-gwagiro, Buk-gu, 500-712 Korea","institution_ids":["https://openalex.org/I39534123"]},{"raw_affiliation_string":"School of Mechatronics, Gwangju Institute of Science and Technology, (GIST), 261 Cheomdan-gwagiro, Buk-gu, 500-712, Korea","institution_ids":["https://openalex.org/I39534123"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.2913,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.92366553,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"4810","last_page":"4815"},"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":0.9959999918937683,"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":0.9879999756813049,"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/euclidean-distance","display_name":"Euclidean distance","score":0.750991702079773},{"id":"https://openalex.org/keywords/double-integrator","display_name":"Double integrator","score":0.6903421878814697},{"id":"https://openalex.org/keywords/multi-agent-system","display_name":"Multi-agent system","score":0.5332785248756409},{"id":"https://openalex.org/keywords/realization","display_name":"Realization (probability)","score":0.5106950402259827},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4748953878879547},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.47090625762939453},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4601062536239624},{"id":"https://openalex.org/keywords/euclidean-geometry","display_name":"Euclidean geometry","score":0.45017194747924805},{"id":"https://openalex.org/keywords/euclidean-group","display_name":"Euclidean group","score":0.4395419955253601},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.4363316297531128},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4195297360420227},{"id":"https://openalex.org/keywords/euclidean-distance-matrix","display_name":"Euclidean distance matrix","score":0.41823554039001465},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3812539875507355},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3455701470375061},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.2898653745651245},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.12788686156272888},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.12284353375434875},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11013054847717285},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.09648275375366211},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08120042085647583}],"concepts":[{"id":"https://openalex.org/C120174047","wikidata":"https://www.wikidata.org/wiki/Q847073","display_name":"Euclidean distance","level":2,"score":0.750991702079773},{"id":"https://openalex.org/C2779323837","wikidata":"https://www.wikidata.org/wiki/Q5300045","display_name":"Double integrator","level":3,"score":0.6903421878814697},{"id":"https://openalex.org/C41550386","wikidata":"https://www.wikidata.org/wiki/Q529909","display_name":"Multi-agent system","level":2,"score":0.5332785248756409},{"id":"https://openalex.org/C2781089630","wikidata":"https://www.wikidata.org/wiki/Q21856745","display_name":"Realization (probability)","level":2,"score":0.5106950402259827},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4748953878879547},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.47090625762939453},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4601062536239624},{"id":"https://openalex.org/C129782007","wikidata":"https://www.wikidata.org/wiki/Q162886","display_name":"Euclidean geometry","level":2,"score":0.45017194747924805},{"id":"https://openalex.org/C19939924","wikidata":"https://www.wikidata.org/wiki/Q852195","display_name":"Euclidean group","level":4,"score":0.4395419955253601},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.4363316297531128},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4195297360420227},{"id":"https://openalex.org/C171558263","wikidata":"https://www.wikidata.org/wiki/Q5406122","display_name":"Euclidean distance matrix","level":3,"score":0.41823554039001465},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3812539875507355},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3455701470375061},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.2898653745651245},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.12788686156272888},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.12284353375434875},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11013054847717285},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.09648275375366211},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08120042085647583},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","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/C173110770","wikidata":"https://www.wikidata.org/wiki/Q382698","display_name":"Affine space","level":3,"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/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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/acc.2011.5991056","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2011.5991056","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2011 American Control Conference","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.800000011920929}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W360528349","https://openalex.org/W1579504682","https://openalex.org/W1581205238","https://openalex.org/W1972020554","https://openalex.org/W1988832667","https://openalex.org/W2014678902","https://openalex.org/W2050505323","https://openalex.org/W2070137281","https://openalex.org/W2097870116","https://openalex.org/W2099094037","https://openalex.org/W2102111377","https://openalex.org/W2108261524","https://openalex.org/W2113513180","https://openalex.org/W2123332983","https://openalex.org/W2131331878","https://openalex.org/W2138296912","https://openalex.org/W2140252996","https://openalex.org/W2143896563","https://openalex.org/W2147326597","https://openalex.org/W2327230547","https://openalex.org/W4242602028","https://openalex.org/W6675215438"],"related_works":["https://openalex.org/W2008939113","https://openalex.org/W2749646986","https://openalex.org/W2105228010","https://openalex.org/W3037672488","https://openalex.org/W4296950832","https://openalex.org/W2003250847","https://openalex.org/W4292081244","https://openalex.org/W2953018250","https://openalex.org/W4298154183","https://openalex.org/W2102111377"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"propose":[4],"a":[5,16,114],"triangular":[6],"formation":[7,31,90],"control":[8,32,47,111,138],"law":[9,48,112],"based":[10],"on":[11,23],"inter-agent":[12,101,125],"distance":[13,58,102],"information":[14,80],"for":[15],"group":[17,84,93],"of":[18,28,41,55,64,82,91,123,135],"three":[19],"single-integrator":[20],"modeled":[21],"agents":[22],"the":[24,39,45,52,56,62,65,70,79,83,88,92,109,118,121,133,136,141],"plane.":[25],"Although":[26],"most":[27],"existing":[29],"distance-based":[30],"laws":[33],"have":[34],"been":[35],"designed":[36],"by":[37],"using":[38],"gradient":[40],"artificial":[42],"potential":[43],"functions,":[44],"proposed":[46,110,137],"is":[49,85,94],"derived":[50],"from":[51],"time":[53],"derivative":[54],"Euclidean":[57],"matrix":[59],"associated":[60],"with":[61,98],"realization":[63],"agent":[66],"group.":[67],"Consequently,":[68],"if":[69],"initial":[71],"and":[72,78],"desired":[73,89],"formations":[74],"are":[75,127],"not":[76],"collinear":[77],"graph":[81],"complete,":[86],"then":[87],"globally":[95],"asymptotically":[96],"stable":[97],"all":[99,124],"squared":[100],"errors":[103],"exponentially":[104],"converging":[105],"to":[106],"zero.":[107],"Furthermore,":[108],"has":[113],"coordination":[115,142],"property":[116],"in":[117],"sense":[119],"that":[120],"dynamics":[122],"distances":[126],"fully":[128],"decoupled.":[129],"Simulation":[130],"results":[131],"support":[132],"effectiveness":[134],"law,":[139],"demonstrating":[140],"property.":[143]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
