{"id":"https://openalex.org/W2740152203","doi":"https://doi.org/10.1080/00207179.2017.1361043","title":"The geometric convexity on SE(3) and its application to the formation tracking in multi-vehicle systems","display_name":"The geometric convexity on SE(3) and its application to the formation tracking in multi-vehicle systems","publication_year":2017,"publication_date":"2017-07-27","ids":{"openalex":"https://openalex.org/W2740152203","doi":"https://doi.org/10.1080/00207179.2017.1361043","mag":"2740152203"},"language":"en","primary_location":{"id":"doi:10.1080/00207179.2017.1361043","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207179.2017.1361043","pdf_url":null,"source":{"id":"https://openalex.org/S88061139","display_name":"International Journal of Control","issn_l":"0020-7179","issn":["0020-7179","1366-5820"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of 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/A5033160849","display_name":"Xiuhui Peng","orcid":"https://orcid.org/0000-0001-8002-4122"},"institutions":[{"id":"https://openalex.org/I20231570","display_name":"Peking University","ror":"https://ror.org/02v51f717","country_code":"CN","type":"education","lineage":["https://openalex.org/I20231570"]},{"id":"https://openalex.org/I4391767778","display_name":"State Key Laboratory of Turbulence and Complex Systems","ror":"https://ror.org/04km98768","country_code":null,"type":"facility","lineage":["https://openalex.org/I20231570","https://openalex.org/I4391767778"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiuhui Peng","raw_affiliation_strings":["State Key Laboratory for Turbulence and Complex Systems, Department of Mechanics and Engineering Science, College of Engineering, Peking University , Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"State Key Laboratory for Turbulence and Complex Systems, Department of Mechanics and Engineering Science, College of Engineering, Peking University , Beijing, China","institution_ids":["https://openalex.org/I20231570","https://openalex.org/I4391767778"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101464725","display_name":"Junyong Sun","orcid":"https://orcid.org/0000-0002-3422-6089"},"institutions":[{"id":"https://openalex.org/I20231570","display_name":"Peking University","ror":"https://ror.org/02v51f717","country_code":"CN","type":"education","lineage":["https://openalex.org/I20231570"]},{"id":"https://openalex.org/I4391767778","display_name":"State Key Laboratory of Turbulence and Complex Systems","ror":"https://ror.org/04km98768","country_code":null,"type":"facility","lineage":["https://openalex.org/I20231570","https://openalex.org/I4391767778"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Junyong Sun","raw_affiliation_strings":["State Key Laboratory for Turbulence and Complex Systems, Department of Mechanics and Engineering Science, College of Engineering, Peking University , Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"State Key Laboratory for Turbulence and Complex Systems, Department of Mechanics and Engineering Science, College of Engineering, Peking University , Beijing, China","institution_ids":["https://openalex.org/I20231570","https://openalex.org/I4391767778"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100354416","display_name":"Zhiyong Geng","orcid":"https://orcid.org/0000-0002-6485-8431"},"institutions":[{"id":"https://openalex.org/I4391767778","display_name":"State Key Laboratory of Turbulence and Complex Systems","ror":"https://ror.org/04km98768","country_code":null,"type":"facility","lineage":["https://openalex.org/I20231570","https://openalex.org/I4391767778"]},{"id":"https://openalex.org/I20231570","display_name":"Peking University","ror":"https://ror.org/02v51f717","country_code":"CN","type":"education","lineage":["https://openalex.org/I20231570"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhiyong Geng","raw_affiliation_strings":["State Key Laboratory for Turbulence and Complex Systems, Department of Mechanics and Engineering Science, College of Engineering, Peking University , Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"State Key Laboratory for Turbulence and Complex Systems, Department of Mechanics and Engineering Science, College of Engineering, Peking University , Beijing, China","institution_ids":["https://openalex.org/I20231570","https://openalex.org/I4391767778"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100354416"],"corresponding_institution_ids":["https://openalex.org/I20231570","https://openalex.org/I4391767778"],"apc_list":null,"apc_paid":null,"fwci":2.1967,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.89456972,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"92","issue":"3","first_page":"528","last_page":"539"},"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/T11133","display_name":"UAV Applications and Optimization","score":0.9740999937057495,"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"}},{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.946399986743927,"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/convexity","display_name":"Convexity","score":0.7051604390144348},{"id":"https://openalex.org/keywords/convex-hull","display_name":"Convex hull","score":0.6956143379211426},{"id":"https://openalex.org/keywords/geodesic","display_name":"Geodesic","score":0.677560031414032},{"id":"https://openalex.org/keywords/euclidean-group","display_name":"Euclidean group","score":0.6708418130874634},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6134950518608093},{"id":"https://openalex.org/keywords/euclidean-space","display_name":"Euclidean space","score":0.5377021431922913},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.48812422156333923},{"id":"https://openalex.org/keywords/tracking","display_name":"Tracking (education)","score":0.4864889979362488},{"id":"https://openalex.org/keywords/convex-combination","display_name":"Convex combination","score":0.45731043815612793},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3435320556163788},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2089584767818451},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.2041611671447754},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.17258599400520325},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1492328643798828},{"id":"https://openalex.org/keywords/affine-space","display_name":"Affine space","score":0.11491724848747253},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.07444235682487488}],"concepts":[{"id":"https://openalex.org/C72134830","wikidata":"https://www.wikidata.org/wiki/Q5166524","display_name":"Convexity","level":2,"score":0.7051604390144348},{"id":"https://openalex.org/C206194317","wikidata":"https://www.wikidata.org/wiki/Q1138624","display_name":"Convex hull","level":3,"score":0.6956143379211426},{"id":"https://openalex.org/C165818556","wikidata":"https://www.wikidata.org/wiki/Q213488","display_name":"Geodesic","level":2,"score":0.677560031414032},{"id":"https://openalex.org/C19939924","wikidata":"https://www.wikidata.org/wiki/Q852195","display_name":"Euclidean group","level":4,"score":0.6708418130874634},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6134950518608093},{"id":"https://openalex.org/C186450821","wikidata":"https://www.wikidata.org/wiki/Q17295","display_name":"Euclidean space","level":2,"score":0.5377021431922913},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.48812422156333923},{"id":"https://openalex.org/C2775936607","wikidata":"https://www.wikidata.org/wiki/Q466845","display_name":"Tracking (education)","level":2,"score":0.4864889979362488},{"id":"https://openalex.org/C111110010","wikidata":"https://www.wikidata.org/wiki/Q2627315","display_name":"Convex combination","level":4,"score":0.45731043815612793},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3435320556163788},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2089584767818451},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.2041611671447754},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.17258599400520325},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1492328643798828},{"id":"https://openalex.org/C173110770","wikidata":"https://www.wikidata.org/wiki/Q382698","display_name":"Affine space","level":3,"score":0.11491724848747253},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.07444235682487488},{"id":"https://openalex.org/C19417346","wikidata":"https://www.wikidata.org/wiki/Q7922","display_name":"Pedagogy","level":1,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207179.2017.1361043","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207179.2017.1361043","pdf_url":null,"source":{"id":"https://openalex.org/S88061139","display_name":"International Journal of Control","issn_l":"0020-7179","issn":["0020-7179","1366-5820"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Control","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G8741127196","display_name":"\u53d7\u63a7\u62c9\u683c\u6717\u65e5\u51fd\u6570\u65b9\u6cd5\u5728\u529b\u5b66\u7cfb\u7edf\u63a7\u5236\u4e2d\u7684\u5e94\u7528\u7814\u7a76","funder_award_id":"61374033","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W57077127","https://openalex.org/W1502308290","https://openalex.org/W1519881385","https://openalex.org/W1524590822","https://openalex.org/W1595765050","https://openalex.org/W1600451212","https://openalex.org/W1968976970","https://openalex.org/W1980330256","https://openalex.org/W1981826826","https://openalex.org/W1996024419","https://openalex.org/W2007453291","https://openalex.org/W2012383111","https://openalex.org/W2021506045","https://openalex.org/W2021678814","https://openalex.org/W2035250412","https://openalex.org/W2036316876","https://openalex.org/W2046440205","https://openalex.org/W2065632630","https://openalex.org/W2076711094","https://openalex.org/W2083649719","https://openalex.org/W2098748755","https://openalex.org/W2109656638","https://openalex.org/W2124228020","https://openalex.org/W2136269739","https://openalex.org/W2139369541","https://openalex.org/W2146804198","https://openalex.org/W2146890818","https://openalex.org/W2147928602","https://openalex.org/W2165413656","https://openalex.org/W2179631011","https://openalex.org/W3148511379","https://openalex.org/W4236400251","https://openalex.org/W4254566809","https://openalex.org/W4292402580"],"related_works":["https://openalex.org/W2025606465","https://openalex.org/W2365830408","https://openalex.org/W1507382935","https://openalex.org/W2300145982","https://openalex.org/W2363904277","https://openalex.org/W4296997005","https://openalex.org/W2133925519","https://openalex.org/W4236646749","https://openalex.org/W3202362164","https://openalex.org/W2580512045"],"abstract_inverted_index":{"This":[0],"paper":[1],"considers":[2],"the":[3,17,25,31,45,54,64,75,84,102,107,119,122],"problem":[4],"of":[5,34,77,83,121],"geometric":[6,55,85],"convexity":[7],"on":[8,28,39,44,62,67,91],"special":[9],"Euclidean":[10,29],"group":[11],"SE(3)":[12,40,68],"and":[13,88],"its":[14],"application":[15,76],"to":[16,53,71,99,117],"formation":[18,78,103],"tracking":[19,79,95],"in":[20,74],"multi-vehicle":[21],"systems.":[22],"Motivated":[23],"by":[24],"convex":[26,56,86],"hull":[27],"space,":[30],"specific":[32],"expression":[33],"geodesic":[35],"connecting":[36],"two":[37,112],"points":[38],"is":[41,51,69,97,104],"obtained":[42],"based":[43,61],"Pontryagin's":[46],"Minimum":[47],"Principle.":[48],"Then":[49],"it":[50],"extended":[52],"combination":[57,87],"for":[58],"multiple":[59],"points,":[60],"which":[63],"virtual":[65,89],"systems":[66,90],"given":[70],"be":[72],"used":[73],"problem.":[80],"In":[81],"light":[82],"SE(3),":[92],"a":[93],"consensus-based":[94],"protocol":[96],"proposed":[98],"guarantee":[100],"that":[101],"achieved":[105],"under":[106],"directed":[108],"acyclic":[109],"graphs.":[110],"Finally,":[111],"numerical":[113],"examples":[114],"are":[115],"provided":[116],"demonstrate":[118],"validity":[120],"theoretical":[123],"results.":[124]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":5}],"updated_date":"2026-06-06T09:05:17.133730","created_date":"2025-10-10T00:00:00"}