{"id":"https://openalex.org/W1585907409","doi":"https://doi.org/10.1109/acc.2015.7170821","title":"Stabilization of collective motion in synchronized, balanced and splay phase arrangements on a desired circle","display_name":"Stabilization of collective motion in synchronized, balanced and splay phase arrangements on a desired circle","publication_year":2015,"publication_date":"2015-07-01","ids":{"openalex":"https://openalex.org/W1585907409","doi":"https://doi.org/10.1109/acc.2015.7170821","mag":"1585907409"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2015.7170821","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2015.7170821","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 American Control Conference (ACC)","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/A5070097140","display_name":"Anoop Jain","orcid":"https://orcid.org/0000-0002-1247-7426"},"institutions":[{"id":"https://openalex.org/I59270414","display_name":"Indian Institute of Science Bangalore","ror":"https://ror.org/04dese585","country_code":"IN","type":"education","lineage":["https://openalex.org/I59270414"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Anoop Jain","raw_affiliation_strings":["Department of Aerospace Engineering, Indian Institute of Science, Bangalore, India","Guidance, Control and Decision System Laboratory (GCDSL) in the Department of Aerospace Engineering, Indian Institute of Science, Bangalore, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Aerospace Engineering, Indian Institute of Science, Bangalore, India","institution_ids":["https://openalex.org/I59270414"]},{"raw_affiliation_string":"Guidance, Control and Decision System Laboratory (GCDSL) in the Department of Aerospace Engineering, Indian Institute of Science, Bangalore, India","institution_ids":["https://openalex.org/I59270414"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002496535","display_name":"Debasish Ghose","orcid":"https://orcid.org/0000-0001-5022-4123"},"institutions":[{"id":"https://openalex.org/I59270414","display_name":"Indian Institute of Science Bangalore","ror":"https://ror.org/04dese585","country_code":"IN","type":"education","lineage":["https://openalex.org/I59270414"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Debasish Ghose","raw_affiliation_strings":["Department of Aerospace Engineering, Indian Institute of Science, Bangalore, India","Guidance, Control and Decision System Laboratory (GCDSL) in the Department of Aerospace Engineering, Indian Institute of Science, Bangalore, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Aerospace Engineering, Indian Institute of Science, Bangalore, India","institution_ids":["https://openalex.org/I59270414"]},{"raw_affiliation_string":"Guidance, Control and Decision System Laboratory (GCDSL) in the Department of Aerospace Engineering, Indian Institute of Science, Bangalore, India","institution_ids":["https://openalex.org/I59270414"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.1039,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.88144501,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"731","last_page":"736"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","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/T13362","display_name":"Slime Mold and Myxomycetes Research","score":0.9979000091552734,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical 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/T11486","display_name":"Micro and Nano Robotics","score":0.9894999861717224,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/centroid","display_name":"Centroid","score":0.6882517337799072},{"id":"https://openalex.org/keywords/circular-motion","display_name":"Circular motion","score":0.6378185153007507},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6328334212303162},{"id":"https://openalex.org/keywords/clockwise","display_name":"Clockwise","score":0.6259862184524536},{"id":"https://openalex.org/keywords/motion","display_name":"Motion (physics)","score":0.6125765442848206},{"id":"https://openalex.org/keywords/unit-circle","display_name":"Unit circle","score":0.607291579246521},{"id":"https://openalex.org/keywords/rotation","display_name":"Rotation (mathematics)","score":0.5910104513168335},{"id":"https://openalex.org/keywords/radius","display_name":"RADIUS","score":0.5836064219474792},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5208092927932739},{"id":"https://openalex.org/keywords/collective-motion","display_name":"Collective motion","score":0.45356082916259766},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.4345337152481079},{"id":"https://openalex.org/keywords/rotation-around-a-fixed-axis","display_name":"Rotation around a fixed axis","score":0.4195929169654846},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4034397006034851},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.33518892526626587},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.23797950148582458},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.23239487409591675},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.21026337146759033},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1071559488773346},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.06572997570037842}],"concepts":[{"id":"https://openalex.org/C146599234","wikidata":"https://www.wikidata.org/wiki/Q511093","display_name":"Centroid","level":2,"score":0.6882517337799072},{"id":"https://openalex.org/C127635394","wikidata":"https://www.wikidata.org/wiki/Q715746","display_name":"Circular motion","level":2,"score":0.6378185153007507},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6328334212303162},{"id":"https://openalex.org/C70026782","wikidata":"https://www.wikidata.org/wiki/Q16726164","display_name":"Clockwise","level":3,"score":0.6259862184524536},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.6125765442848206},{"id":"https://openalex.org/C126875415","wikidata":"https://www.wikidata.org/wiki/Q203425","display_name":"Unit circle","level":2,"score":0.607291579246521},{"id":"https://openalex.org/C74050887","wikidata":"https://www.wikidata.org/wiki/Q848368","display_name":"Rotation (mathematics)","level":2,"score":0.5910104513168335},{"id":"https://openalex.org/C178635117","wikidata":"https://www.wikidata.org/wiki/Q747499","display_name":"RADIUS","level":2,"score":0.5836064219474792},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5208092927932739},{"id":"https://openalex.org/C2780499737","wikidata":"https://www.wikidata.org/wiki/Q24755076","display_name":"Collective motion","level":2,"score":0.45356082916259766},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.4345337152481079},{"id":"https://openalex.org/C6342182","wikidata":"https://www.wikidata.org/wiki/Q2995427","display_name":"Rotation around a fixed axis","level":2,"score":0.4195929169654846},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4034397006034851},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.33518892526626587},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.23797950148582458},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.23239487409591675},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.21026337146759033},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1071559488773346},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.06572997570037842},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"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/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/acc.2015.7170821","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2015.7170821","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 American Control Conference (ACC)","raw_type":"proceedings-article"},{"id":"pmh:oai:eprints.iisc.ac.in:53567","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4377196309","display_name":"NOT FOUND REPOSITORY (Indian Institute of Science Bangalore)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I59270414","host_organization_name":"Indian Institute of Science Bangalore","host_organization_lineage":["https://openalex.org/I59270414"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Conference Proceedings"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","score":0.41999998688697815,"display_name":"Sustainable cities and communities"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320318019","display_name":"Asian Office of Aerospace Research and Development","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W297319953","https://openalex.org/W1585398001","https://openalex.org/W2008409741","https://openalex.org/W2037853458","https://openalex.org/W2044469297","https://openalex.org/W2050919061","https://openalex.org/W2061011930","https://openalex.org/W2069408494","https://openalex.org/W2071009320","https://openalex.org/W2105197582","https://openalex.org/W2110209467","https://openalex.org/W2111638077","https://openalex.org/W2130518506","https://openalex.org/W2138754407","https://openalex.org/W2141893113","https://openalex.org/W2145673058","https://openalex.org/W2146648212","https://openalex.org/W2152556309","https://openalex.org/W2169914216","https://openalex.org/W2284354154","https://openalex.org/W2333863988","https://openalex.org/W4285719527","https://openalex.org/W6665889099","https://openalex.org/W6667725456","https://openalex.org/W6681655179"],"related_works":["https://openalex.org/W2168937531","https://openalex.org/W2324413007","https://openalex.org/W2570744979","https://openalex.org/W2308989282","https://openalex.org/W2035609472","https://openalex.org/W2046783509","https://openalex.org/W3022794659","https://openalex.org/W2333942531","https://openalex.org/W3197287614","https://openalex.org/W2598266248"],"abstract_inverted_index":{"This":[0],"paper":[1,37],"proposes":[2],"a":[3,12,48,98,111,121],"design":[4],"methodology":[5],"to":[6,64],"stabilize":[7],"collective":[8,31,67,150],"circular":[9,32,68,151],"motion":[10,33,152],"of":[11,14,24,44,51,74,107,114,124,135,147],"group":[13],"N-identical":[15],"agents":[16,46,76,92,109],"moving":[17],"at":[18],"unit":[19],"speed":[20],"around":[21,47],"individual":[22],"circles":[23],"different":[25,28],"radii":[26],"and":[27,93,142,157],"centers.":[29],"The":[30,117],"studied":[34],"in":[35,70,80,82,85,97,102,127],"this":[36],"is":[38,59,63,120],"characterized":[39],"by":[40,133,153],"the":[41,72,75,91,105,108,115,129,139,144,148,158],"clockwise":[42],"rotation":[43],"all":[45],"common":[49,99],"circle":[50],"desired":[52,149],"radius":[53],"as":[54,56],"well":[55],"center,":[57],"which":[58,71,128],"fixed.":[60],"Our":[61],"interest":[62],"achieve":[65],"those":[66],"motions":[69],"phases":[73,130],"are":[77,131],"arranged":[78],"either":[79],"synchronized,":[81],"balanced":[83,103,125],"or":[84],"splay":[86,118],"formation.":[87],"In":[88],"synchronized":[89],"formation,":[90,104,126],"their":[94],"centroid":[95],"move":[96],"direction":[100],"while":[101],"movement":[106],"ensures":[110],"fixed":[112],"location":[113],"centroid.":[116],"state":[119],"special":[122],"case":[123],"separated":[132],"multiples":[134],"2\u03c0/N.":[136],"We":[137],"derive":[138],"feedback":[140],"controls":[141],"prove":[143],"asymptotic":[145],"stability":[146],"using":[154],"Lyapunov":[155],"theory":[156],"LaSalle's":[159],"Invariance":[160],"principle.":[161]},"counts_by_year":[{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}