{"id":"https://openalex.org/W2169987650","doi":"https://doi.org/10.1109/isic.2013.6658617","title":"Certifying non-existence of undesired locally stable equilibria in formation shape control problems","display_name":"Certifying non-existence of undesired locally stable equilibria in formation shape control problems","publication_year":2013,"publication_date":"2013-08-01","ids":{"openalex":"https://openalex.org/W2169987650","doi":"https://doi.org/10.1109/isic.2013.6658617","mag":"2169987650"},"language":"en","primary_location":{"id":"doi:10.1109/isic.2013.6658617","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isic.2013.6658617","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 IEEE International Symposium on Intelligent Control (ISIC)","raw_type":"proceedings-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1307.2089","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Tyler H. Summers","orcid":null},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":true,"raw_author_name":"Tyler H. Summers","raw_affiliation_strings":["Automatic Control Laboratory, ETH Zurich, Switzerland"],"affiliations":[{"raw_affiliation_string":"Automatic Control Laboratory, ETH Zurich, Switzerland","institution_ids":["https://openalex.org/I35440088"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Changbin Yu","orcid":null},"institutions":[{"id":"https://openalex.org/I42894916","display_name":"Data61","ror":"https://ror.org/03q397159","country_code":"AU","type":"other","lineage":["https://openalex.org/I1292875679","https://openalex.org/I2801453606","https://openalex.org/I42894916","https://openalex.org/I4387156119"]},{"id":"https://openalex.org/I118347636","display_name":"Australian National University","ror":"https://ror.org/019wvm592","country_code":"AU","type":"education","lineage":["https://openalex.org/I118347636"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Changbin Yu","raw_affiliation_strings":["Australian National University, NICTA, Canberra, Australia"],"affiliations":[{"raw_affiliation_string":"Australian National University, NICTA, Canberra, Australia","institution_ids":["https://openalex.org/I42894916","https://openalex.org/I118347636"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Soura Dasgupta","orcid":null},"institutions":[{"id":"https://openalex.org/I126307644","display_name":"University of Iowa","ror":"https://ror.org/036jqmy94","country_code":"US","type":"education","lineage":["https://openalex.org/I126307644"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Soura Dasgupta","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Iowa, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Iowa, USA","institution_ids":["https://openalex.org/I126307644"]}]},{"author_position":"last","author":{"id":null,"display_name":"Brian D.O. Anderson","orcid":null},"institutions":[{"id":"https://openalex.org/I118347636","display_name":"Australian National University","ror":"https://ror.org/019wvm592","country_code":"AU","type":"education","lineage":["https://openalex.org/I118347636"]},{"id":"https://openalex.org/I42894916","display_name":"Data61","ror":"https://ror.org/03q397159","country_code":"AU","type":"other","lineage":["https://openalex.org/I1292875679","https://openalex.org/I2801453606","https://openalex.org/I42894916","https://openalex.org/I4387156119"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Brian D.O. Anderson","raw_affiliation_strings":["Australian National University, NICTA, Canberra, Australia"],"affiliations":[{"raw_affiliation_string":"Australian National University, NICTA, Canberra, Australia","institution_ids":["https://openalex.org/I42894916","https://openalex.org/I118347636"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I35440088"],"apc_list":null,"apc_paid":null,"fwci":0.76,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.77961976,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"11","issue":null,"first_page":"200","last_page":"205"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9994999766349792,"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":0.9994999766349792,"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/T12158","display_name":"Guidance and Control Systems","score":0.9912999868392944,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9851999878883362,"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/stability","display_name":"Stability (learning theory)","score":0.5490999817848206},{"id":"https://openalex.org/keywords/semidefinite-programming","display_name":"Semidefinite programming","score":0.4745999872684479},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.46389999985694885},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.3970000147819519},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.3582000136375427}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5573999881744385},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5490999817848206},{"id":"https://openalex.org/C101901036","wikidata":"https://www.wikidata.org/wiki/Q2269096","display_name":"Semidefinite programming","level":2,"score":0.4745999872684479},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.46389999985694885},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.3970000147819519},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3684000074863434},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.3582000136375427},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.29490000009536743},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2924000024795532},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.27079999446868896},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.26499998569488525},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.25589999556541443}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/isic.2013.6658617","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isic.2013.6658617","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 IEEE International Symposium on Intelligent Control (ISIC)","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:1307.2089","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1307.2089","pdf_url":"https://arxiv.org/pdf/1307.2089","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:openresearch-repository.anu.edu.au:1885/82603","is_oa":false,"landing_page_url":"http://hdl.handle.net/1885/82603","pdf_url":null,"source":{"id":"https://openalex.org/S4306402539","display_name":"ANU Open Research (Australian National University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I118347636","host_organization_name":"Australian National University","host_organization_lineage":["https://openalex.org/I118347636"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE International Symposium on Intelligent Control - Proceedings","raw_type":"Conference paper"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1307.2089","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1307.2089","pdf_url":"https://arxiv.org/pdf/1307.2089","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1967184028","https://openalex.org/W1980973186","https://openalex.org/W1982762133","https://openalex.org/W2026661126","https://openalex.org/W2031489836","https://openalex.org/W2046843699","https://openalex.org/W2085352155","https://openalex.org/W2097870116","https://openalex.org/W2113409897","https://openalex.org/W2130532917","https://openalex.org/W2138296912","https://openalex.org/W2158424774","https://openalex.org/W4299599836","https://openalex.org/W6629750604","https://openalex.org/W6678624639"],"related_works":[],"abstract_inverted_index":{"A":[0],"fundamental":[1],"control":[2],"problem":[3],"for":[4,83,93],"autonomous":[5],"vehicle":[6],"formations":[7],"is":[8],"formation":[9,20,42,86],"shape":[10,21,43],"control,":[11,44],"in":[12,54,87],"which":[13],"the":[14,57],"agents":[15],"must":[16],"maintain":[17],"a":[18,32,49],"prescribed":[19],"using":[22,89],"only":[23],"information":[24],"measured":[25],"or":[26,62],"communicated":[27],"from":[28],"neighboring":[29],"agents.":[30],"While":[31],"large":[33],"and":[34,103],"growing":[35],"literature":[36],"has":[37],"recently":[38],"emerged":[39],"on":[40],"distance-based":[41],"global":[45],"stability":[46],"properties":[47],"remain":[48],"significant":[50],"open":[51],"problem.":[52],"Even":[53],"four-agent":[55],"formations,":[56],"basic":[58],"question":[59,79],"of":[60,99],"whether":[61],"not":[63],"there":[64],"can":[65,80],"exist":[66],"locally":[67],"stable":[68],"incorrect":[69],"equilibrium":[70],"shapes":[71],"remains":[72],"open.":[73],"This":[74],"paper":[75],"shows":[76],"how":[77],"this":[78],"be":[81],"answered":[82],"any":[84],"size":[85],"principle":[88],"semidefinite":[90],"programming":[91],"techniques":[92],"semialgebraic":[94],"problems,":[95],"involving":[96],"solutions":[97],"sets":[98],"polynomial":[100],"equations,":[101],"inequations,":[102],"inequalities.":[104]},"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2016-06-24T00:00:00"}