{"id":"https://openalex.org/W2078781159","doi":"https://doi.org/10.1109/tac.2013.2286897","title":"Unified Cooperative Control of Multiple Agents on a Sphere for Different Spherical Patterns","display_name":"Unified Cooperative Control of Multiple Agents on a Sphere for Different Spherical Patterns","publication_year":2013,"publication_date":"2013-10-23","ids":{"openalex":"https://openalex.org/W2078781159","doi":"https://doi.org/10.1109/tac.2013.2286897","mag":"2078781159"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2013.2286897","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2013.2286897","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/A5100318074","display_name":"Wei Li","orcid":"https://orcid.org/0000-0001-9583-9199"},"institutions":[{"id":"https://openalex.org/I200845125","display_name":"Nanjing University of Information Science and Technology","ror":"https://ror.org/02y0rxk19","country_code":"CN","type":"education","lineage":["https://openalex.org/I200845125"]},{"id":"https://openalex.org/I881766915","display_name":"Nanjing University","ror":"https://ror.org/01rxvg760","country_code":"CN","type":"education","lineage":["https://openalex.org/I881766915"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Wei Li","raw_affiliation_strings":["School of Engineering and Management, Department of Control and Systems Engineering, Nanjing University, Nanjing, China","[Department of Control and Systems Engineering, Nanjing University, Nanjing, China]"],"affiliations":[{"raw_affiliation_string":"School of Engineering and Management, Department of Control and Systems Engineering, Nanjing University, Nanjing, China","institution_ids":["https://openalex.org/I200845125","https://openalex.org/I881766915"]},{"raw_affiliation_string":"[Department of Control and Systems Engineering, Nanjing University, Nanjing, China]","institution_ids":["https://openalex.org/I881766915"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5079586632","display_name":"Mark W. Spong","orcid":"https://orcid.org/0000-0003-4626-2295"},"institutions":[{"id":"https://openalex.org/I162577319","display_name":"The University of Texas at Dallas","ror":"https://ror.org/049emcs32","country_code":"US","type":"education","lineage":["https://openalex.org/I162577319"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mark W. Spong","raw_affiliation_strings":["University of Texas at Dallas, Eric Jonsson School of Engineering and Computer Science, Richardson, TX, United States of America","Eric Jonsson Sch. of Eng. & Comput. Sci., Univ. of Texas at Dallas, Richardson, TX, USA"],"affiliations":[{"raw_affiliation_string":"University of Texas at Dallas, Eric Jonsson School of Engineering and Computer Science, Richardson, TX, United States of America","institution_ids":["https://openalex.org/I162577319"]},{"raw_affiliation_string":"Eric Jonsson Sch. of Eng. & Comput. Sci., Univ. of Texas at Dallas, Richardson, TX, USA","institution_ids":["https://openalex.org/I162577319"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100318074"],"corresponding_institution_ids":["https://openalex.org/I200845125","https://openalex.org/I881766915"],"apc_list":null,"apc_paid":null,"fwci":5.7993,"has_fulltext":false,"cited_by_count":72,"citation_normalized_percentile":{"value":0.96428571,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"59","issue":"5","first_page":"1283","last_page":"1289"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9994000196456909,"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"}},"topics":[{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","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/T11486","display_name":"Micro and Nano Robotics","score":0.9976999759674072,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9966999888420105,"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/invariant","display_name":"Invariant (physics)","score":0.5401671528816223},{"id":"https://openalex.org/keywords/rendezvous","display_name":"Rendezvous","score":0.5136825442314148},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.47604846954345703},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4307325780391693},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.366122841835022},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3557106554508209},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.3092634677886963},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2249281108379364},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.12397158145904541}],"concepts":[{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.5401671528816223},{"id":"https://openalex.org/C2779968344","wikidata":"https://www.wikidata.org/wiki/Q3932925","display_name":"Rendezvous","level":3,"score":0.5136825442314148},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47604846954345703},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4307325780391693},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.366122841835022},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3557106554508209},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.3092634677886963},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2249281108379364},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.12397158145904541},{"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/C29829512","wikidata":"https://www.wikidata.org/wiki/Q40218","display_name":"Spacecraft","level":2,"score":0.0},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tac.2013.2286897","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2013.2286897","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"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","score":0.44999998807907104,"id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W1964918537","https://openalex.org/W1976767610","https://openalex.org/W1990304174","https://openalex.org/W1993753913","https://openalex.org/W2017819785","https://openalex.org/W2019592229","https://openalex.org/W2026480734","https://openalex.org/W2044079487","https://openalex.org/W2063801303","https://openalex.org/W2071784911","https://openalex.org/W2073857298","https://openalex.org/W2089724372","https://openalex.org/W2097002253","https://openalex.org/W2097568425","https://openalex.org/W2100920791","https://openalex.org/W2101176445","https://openalex.org/W2102731812","https://openalex.org/W2110628409","https://openalex.org/W2114022736","https://openalex.org/W2116630866","https://openalex.org/W2130458586","https://openalex.org/W2130518506","https://openalex.org/W2136269739","https://openalex.org/W2142474603","https://openalex.org/W2143896563","https://openalex.org/W2148126970","https://openalex.org/W2150973821","https://openalex.org/W2152556309","https://openalex.org/W2153081079","https://openalex.org/W2160643434","https://openalex.org/W2161162797","https://openalex.org/W2170774893","https://openalex.org/W2177443133","https://openalex.org/W4243708205","https://openalex.org/W6676544070"],"related_works":["https://openalex.org/W2057371520","https://openalex.org/W2807763113","https://openalex.org/W2030068303","https://openalex.org/W2567791005","https://openalex.org/W937816491","https://openalex.org/W1521763702","https://openalex.org/W2046042302","https://openalex.org/W2542862126","https://openalex.org/W2089952735","https://openalex.org/W2906790212"],"abstract_inverted_index":{"In":[0],"this":[1],"technical":[2],"note,":[3],"we":[4],"consider":[5],"the":[6,16,25,31,52,59,62,69,72,81,85,104],"cooperative":[7],"control":[8,33],"of":[9,24,61,68,80,93],"multiple":[10],"agents":[11,21,36,94],"on":[12,71,103],"a":[13],"sphere,":[14],"provide":[15],"appropriate":[17],"attraction-repulsion":[18,76],"interactions":[19],"between":[20],"with":[22,78,97],"introduction":[23],"state-dependent":[26],"repulsive":[27],"coefficients,":[28],"and":[29,48,54,65,84],"design":[30],"unified":[32],"laws":[34],"for":[35],"to":[37,99],"achieve":[38],"three":[39],"fundamental":[40],"spherical":[41],"configurations":[42],"or":[43],"patterns:":[44],"rendezvous,":[45],"uniform":[46],"deployment,":[47],"formation,":[49],"using":[50],"both":[51],"first-":[53],"second-order":[55],"models.":[56],"We":[57],"present":[58],"analysis":[60],"stability,":[63],"scaling":[64],"geometric":[66],"patterns":[67,83],"models":[70],"sphere":[73],"under":[74],"different":[75],"parameters,":[77],"illustration":[79],"geometrical":[82,86],"isomerism":[87],"by":[88],"simulations.":[89],"The":[90],"closed-loop":[91],"dynamics":[92],"are":[95],"invariant":[96],"respect":[98],"group":[100],"rotation":[101],"actions":[102],"sphere.":[105]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":12},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":7},{"year":2017,"cited_by_count":7},{"year":2016,"cited_by_count":12},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}