{"id":"https://openalex.org/W2157103092","doi":"https://doi.org/10.1109/acc.2009.5160532","title":"Estimation of the dynamics of two-dimensional clusters","display_name":"Estimation of the dynamics of two-dimensional clusters","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W2157103092","doi":"https://doi.org/10.1109/acc.2009.5160532","mag":"2157103092"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2009.5160532","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2009.5160532","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 American Control Conference","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/A5070184456","display_name":"Daniele Casagrande","orcid":"https://orcid.org/0000-0001-6651-1012"},"institutions":[{"id":"https://openalex.org/I129043915","display_name":"University of Udine","ror":"https://ror.org/05ht0mh31","country_code":"IT","type":"education","lineage":["https://openalex.org/I129043915"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Daniele Casagrande","raw_affiliation_strings":["Dipartimento di Ingegneria Elettrica, Gestionale e Meccanica, Universit\u00e0 degli Studi di Udine, Udine, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Ingegneria Elettrica, Gestionale e Meccanica, Universit\u00e0 degli Studi di Udine, Udine, Italy","institution_ids":["https://openalex.org/I129043915"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018597173","display_name":"Mario Sassano","orcid":"https://orcid.org/0000-0003-4525-4656"},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"M. Sassano","raw_affiliation_strings":["Department of Electrical and Electronic Engineering, Imperial College London, London, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronic Engineering, Imperial College London, London, UK","institution_ids":["https://openalex.org/I47508984"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5018225150","display_name":"Alessandro Astolfi","orcid":"https://orcid.org/0000-0002-4331-454X"},"institutions":[{"id":"https://openalex.org/I116067653","display_name":"University of Rome Tor Vergata","ror":"https://ror.org/02p77k626","country_code":"IT","type":"education","lineage":["https://openalex.org/I116067653"]},{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB","IT"],"is_corresponding":false,"raw_author_name":"Alessandro Astolfi","raw_affiliation_strings":["Department of Electrical and Electronic Engineering, Imperial College London, London, UK","Dipartimento di Informatica, Sistemi e Produzione, Universit\u00e0 degli Studi di Roma Tor Vergata, Rome, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronic Engineering, Imperial College London, London, UK","institution_ids":["https://openalex.org/I47508984"]},{"raw_affiliation_string":"Dipartimento di Informatica, Sistemi e Produzione, Universit\u00e0 degli Studi di Roma Tor Vergata, Rome, Italy","institution_ids":["https://openalex.org/I116067653"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.0715,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.78227462,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"5428","last_page":"5433"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12205","display_name":"Time Series Analysis and Forecasting","score":0.9912999868392944,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T12205","display_name":"Time Series Analysis and Forecasting","score":0.9912999868392944,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T10637","display_name":"Advanced Clustering Algorithms Research","score":0.9743000268936157,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10876","display_name":"Fault Detection and Control Systems","score":0.9524999856948853,"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/cluster","display_name":"Cluster (spacecraft)","score":0.6697030663490295},{"id":"https://openalex.org/keywords/cluster-analysis","display_name":"Cluster analysis","score":0.6511713862419128},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6407616138458252},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.636757493019104},{"id":"https://openalex.org/keywords/dynamics","display_name":"Dynamics (music)","score":0.5156158804893494},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4603992998600006},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.34410178661346436},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3351893424987793},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3328205943107605},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3323199450969696},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.14314571022987366},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10932514071464539}],"concepts":[{"id":"https://openalex.org/C164866538","wikidata":"https://www.wikidata.org/wiki/Q367351","display_name":"Cluster (spacecraft)","level":2,"score":0.6697030663490295},{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.6511713862419128},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6407616138458252},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.636757493019104},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.5156158804893494},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4603992998600006},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.34410178661346436},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3351893424987793},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3328205943107605},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3323199450969696},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.14314571022987366},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10932514071464539},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/acc.2009.5160532","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2009.5160532","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 American Control Conference","raw_type":"proceedings-article"},{"id":"pmh:oai:air.uniud.it:11390/882314","is_oa":false,"landing_page_url":"http://hdl.handle.net/11390/882314","pdf_url":null,"source":{"id":"https://openalex.org/S4306401163","display_name":"Institutional Research Information System (University of Udine)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I129043915","host_organization_name":"University of Udine","host_organization_lineage":["https://openalex.org/I129043915"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/conferenceObject"},{"id":"pmh:oai:art.torvergata.it:2108/211819","is_oa":false,"landing_page_url":"http://hdl.handle.net/2108/211819","pdf_url":null,"source":{"id":"https://openalex.org/S4306400993","display_name":"Cineca Institutional Research Information System (Tor Vergata University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I116067653","host_organization_name":"University of Rome Tor Vergata","host_organization_lineage":["https://openalex.org/I116067653"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W178056938","https://openalex.org/W1891021866","https://openalex.org/W1965324089","https://openalex.org/W1996747841","https://openalex.org/W2003260632","https://openalex.org/W2024864728","https://openalex.org/W2053677366","https://openalex.org/W2084134149","https://openalex.org/W2166673519","https://openalex.org/W2799061466","https://openalex.org/W2913465992","https://openalex.org/W3017143921","https://openalex.org/W4239875977"],"related_works":["https://openalex.org/W2046435967","https://openalex.org/W2804364458","https://openalex.org/W4231775656","https://openalex.org/W4298130764","https://openalex.org/W2132641928","https://openalex.org/W2090259340","https://openalex.org/W4310225030","https://openalex.org/W2083665254","https://openalex.org/W2393816671","https://openalex.org/W2050732911"],"abstract_inverted_index":{"A":[0],"method":[1],"to":[2,31,54],"estimate":[3],"the":[4,25,29,49,61,65,68,71,75,78,84,87,95,98],"dynamics":[5,76,85],"of":[6,18,67,70,77,83,86,97],"clusters":[7],"is":[8,22,46,52,89],"presented.":[9],"An":[10,91],"existing":[11],"static":[12,50],"clustering":[13],"method,":[14],"which":[15],"makes":[16],"use":[17],"a":[19],"Hamiltonian":[20],"function,":[21],"exploited":[23],"in":[24,36],"dynamic":[26],"case,":[27],"when":[28],"points":[30],"cluster":[32,88],"do":[33],"not":[34],"remain":[35],"fixed":[37],"positions":[38],"but":[39],"move":[40],"with":[41],"unknown":[42],"dynamics.":[43],"The":[44],"time":[45],"discretised":[47],"and":[48],"algorithm":[51,62],"applied":[53],"each":[55,59],"time-instant.":[56],"While":[57],"identifying":[58],"cluster,":[60],"also":[63],"performs":[64],"computation":[66],"moments":[69,79],"cluster.":[72],"By":[73],"estimating":[74],"an":[80],"approximate":[81],"estimation":[82],"obtained.":[90],"illustrative":[92],"example":[93],"shows":[94],"performance":[96],"method.":[99]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2016-06-24T00:00:00"}