{"id":"https://openalex.org/W2763656282","doi":"https://doi.org/10.1109/ccta.2017.8062678","title":"Edge potential residuals in low-complexity aggregation behaviors","display_name":"Edge potential residuals in low-complexity aggregation behaviors","publication_year":2017,"publication_date":"2017-08-01","ids":{"openalex":"https://openalex.org/W2763656282","doi":"https://doi.org/10.1109/ccta.2017.8062678","mag":"2763656282"},"language":"en","primary_location":{"id":"doi:10.1109/ccta.2017.8062678","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ccta.2017.8062678","pdf_url":null,"source":{"id":"https://openalex.org/S4306498159","display_name":"2017 IEEE Conference on Control Technology and Applications (CCTA)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 IEEE Conference on Control Technology and Applications (CCTA)","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/A5072355970","display_name":"Pietro Pierpaoli","orcid":"https://orcid.org/0000-0003-4347-1606"},"institutions":[{"id":"https://openalex.org/I145608581","display_name":"University of Miami","ror":"https://ror.org/02dgjyy92","country_code":"US","type":"education","lineage":["https://openalex.org/I145608581"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Pietro Pierpaoli","raw_affiliation_strings":["Faculty of Mechanical and Aerospace Engineering, University of Miami, Coral Gables, FL, USA"],"affiliations":[{"raw_affiliation_string":"Faculty of Mechanical and Aerospace Engineering, University of Miami, Coral Gables, FL, USA","institution_ids":["https://openalex.org/I145608581"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017052718","display_name":"Thanh Trung Vu","orcid":null},"institutions":[{"id":"https://openalex.org/I145608581","display_name":"University of Miami","ror":"https://ror.org/02dgjyy92","country_code":"US","type":"education","lineage":["https://openalex.org/I145608581"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Thanh T. Vu","raw_affiliation_strings":["Faculty of Mechanical and Aerospace Engineering, University of Miami, Coral Gables, FL, USA"],"affiliations":[{"raw_affiliation_string":"Faculty of Mechanical and Aerospace Engineering, University of Miami, Coral Gables, FL, USA","institution_ids":["https://openalex.org/I145608581"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5025079996","display_name":"Amir Rahmani","orcid":"https://orcid.org/0000-0002-7907-7160"},"institutions":[{"id":"https://openalex.org/I1334627681","display_name":"Jet Propulsion Laboratory","ror":"https://ror.org/027k65916","country_code":"US","type":"facility","lineage":["https://openalex.org/I122411786","https://openalex.org/I1334627681","https://openalex.org/I4210124779"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Amir Rahmani","raw_affiliation_strings":["Jet Propulsion Laboratory, Pasadena, CA, USA"],"affiliations":[{"raw_affiliation_string":"Jet Propulsion Laboratory, Pasadena, CA, USA","institution_ids":["https://openalex.org/I1334627681"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5072355970"],"corresponding_institution_ids":["https://openalex.org/I145608581"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.11135019,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"4","issue":null,"first_page":"1556","last_page":"1561"},"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/T12784","display_name":"Modular Robots and Swarm Intelligence","score":0.9926000237464905,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical 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/T13362","display_name":"Slime Mold and Myxomycetes Research","score":0.9776999950408936,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.6315793991088867},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.5965621471405029},{"id":"https://openalex.org/keywords/rigidity","display_name":"Rigidity (electromagnetism)","score":0.5603043437004089},{"id":"https://openalex.org/keywords/parameterized-complexity","display_name":"Parameterized complexity","score":0.5053144097328186},{"id":"https://openalex.org/keywords/robotics","display_name":"Robotics","score":0.5031697154045105},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.49813032150268555},{"id":"https://openalex.org/keywords/robot","display_name":"Robot","score":0.47699859738349915},{"id":"https://openalex.org/keywords/multi-agent-system","display_name":"Multi-agent system","score":0.46697163581848145},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4211670160293579},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.42048364877700806},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4198867380619049},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.388754665851593},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3864032030105591},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3337254226207733},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.26542001962661743},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.13551616668701172},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1235608160495758},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11784934997558594}],"concepts":[{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.6315793991088867},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.5965621471405029},{"id":"https://openalex.org/C160343418","wikidata":"https://www.wikidata.org/wiki/Q185256","display_name":"Rigidity (electromagnetism)","level":2,"score":0.5603043437004089},{"id":"https://openalex.org/C165464430","wikidata":"https://www.wikidata.org/wiki/Q1570441","display_name":"Parameterized complexity","level":2,"score":0.5053144097328186},{"id":"https://openalex.org/C34413123","wikidata":"https://www.wikidata.org/wiki/Q170978","display_name":"Robotics","level":3,"score":0.5031697154045105},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.49813032150268555},{"id":"https://openalex.org/C90509273","wikidata":"https://www.wikidata.org/wiki/Q11012","display_name":"Robot","level":2,"score":0.47699859738349915},{"id":"https://openalex.org/C41550386","wikidata":"https://www.wikidata.org/wiki/Q529909","display_name":"Multi-agent system","level":2,"score":0.46697163581848145},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4211670160293579},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.42048364877700806},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4198867380619049},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.388754665851593},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3864032030105591},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3337254226207733},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.26542001962661743},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.13551616668701172},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1235608160495758},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11784934997558594},{"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/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/ccta.2017.8062678","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ccta.2017.8062678","pdf_url":null,"source":{"id":"https://openalex.org/S4306498159","display_name":"2017 IEEE Conference on Control Technology and Applications (CCTA)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 IEEE Conference on Control Technology and Applications (CCTA)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W179069837","https://openalex.org/W613360614","https://openalex.org/W1522692516","https://openalex.org/W1977438424","https://openalex.org/W1981826826","https://openalex.org/W2012812921","https://openalex.org/W2019950225","https://openalex.org/W2025421018","https://openalex.org/W2070842753","https://openalex.org/W2101230428","https://openalex.org/W2103120971","https://openalex.org/W2105308506","https://openalex.org/W2105850748","https://openalex.org/W2138296912","https://openalex.org/W2140686600","https://openalex.org/W2141543353","https://openalex.org/W2150735912","https://openalex.org/W2726516927","https://openalex.org/W6607301457"],"related_works":["https://openalex.org/W2051058708","https://openalex.org/W154868527","https://openalex.org/W1494268238","https://openalex.org/W1983207144","https://openalex.org/W2490706771","https://openalex.org/W2480116122","https://openalex.org/W2171811389","https://openalex.org/W2041837101","https://openalex.org/W1598441350","https://openalex.org/W1539117866"],"abstract_inverted_index":{"In":[0],"multiagent":[1],"robotics,":[2],"formation":[3],"control":[4],"problems":[5],"usually":[6],"address":[7],"the":[8,39,60,65,79,90,134,137,149],"maintenance":[9],"of":[10,17,148,169],"inter-agent":[11],"distances":[12,118],"equal":[13],"to":[14,25,32,37,70,84,88,101,124,133],"a":[15,110,129],"set":[16],"predefined":[18],"values.":[19],"This":[20],"problem":[21],"requires":[22],"either":[23],"agents":[24,86],"be":[26,33],"distinguishable":[27],"or":[28,48],"some":[29],"combinatorial":[30],"optimization":[31],"solved":[34],"in":[35,45,58,109,167],"order":[36],"find":[38],"most":[40],"convenient":[41],"target-to-agent":[42],"assignment.":[43],"However,":[44,95],"many":[46],"applications":[47],"mission":[49],"stages,":[50],"group":[51],"connectivity":[52],"and":[53,140,162],"collision":[54],"free":[55],"trajectories":[56],"are":[57,68,119,145,165],"fact":[59],"only":[61],"desired":[62,125,138],"requirements,":[63],"while":[64],"robots":[66],"themselves":[67],"allowed":[69],"freely":[71],"generate":[72],"their":[73],"spatial":[74],"distribution.":[75],"To":[76],"this":[77],"end,":[78],"simplest":[80],"possible":[81,100,123],"case":[82],"corresponds":[83],"all":[85],"trying":[87],"maintain":[89],"same":[91],"relative":[92],"scalar":[93],"distance.":[94],"since":[96],"it":[97],"is":[98,155],"not":[99],"have":[102],"more":[103],"than":[104],"d+1":[105],"equally":[106],"separated":[107],"points":[108],"d-dimensional":[111],"space,":[112],"we":[113],"investigate":[114],"solutions":[115],"where":[116],"interagent":[117],"as":[120,122],"close":[121],"one.":[126],"We":[127],"introduce":[128],"quadratic":[130],"potential":[131],"proportional":[132],"error":[135],"from":[136,152,159],"distance":[139],"equilibrium":[141],"with":[142],"non-null":[143],"potentials":[144],"investigated.":[146],"Stability":[147],"behavior":[150],"resulting":[151],"our":[153],"protocol":[154],"described":[156],"using":[157],"elements":[158],"rigidity":[160],"theory":[161],"final":[163],"results":[164],"presented":[166],"form":[168],"numerical":[170],"simulations.":[171]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}