{"id":"https://openalex.org/W2053411084","doi":"https://doi.org/10.1093/imamci/dnv007","title":"Approximate pole placement by involution and vector decomposition","display_name":"Approximate pole placement by involution and vector decomposition","publication_year":2015,"publication_date":"2015-03-27","ids":{"openalex":"https://openalex.org/W2053411084","doi":"https://doi.org/10.1093/imamci/dnv007","mag":"2053411084"},"language":"en","primary_location":{"id":"doi:10.1093/imamci/dnv007","is_oa":false,"landing_page_url":"https://doi.org/10.1093/imamci/dnv007","pdf_url":null,"source":{"id":"https://openalex.org/S162756791","display_name":"IMA Journal of Mathematical Control and Information","issn_l":"0265-0754","issn":["0265-0754","1471-6887"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IMA Journal of Mathematical Control and Information","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/A5023395981","display_name":"John Leventides","orcid":"https://orcid.org/0000-0002-4320-3145"},"institutions":[{"id":"https://openalex.org/I180825142","display_name":"City, University of London","ror":"https://ror.org/04489at23","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I180825142"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"John Leventides","raw_affiliation_strings":["City University London, Northampton Square, London EC1V 0HB, UK","City University, London, Northampton Square, London, EC1V 0HB, UK"],"affiliations":[{"raw_affiliation_string":"City University London, Northampton Square, London EC1V 0HB, UK","institution_ids":["https://openalex.org/I180825142"]},{"raw_affiliation_string":"City University, London, Northampton Square, London, EC1V 0HB, UK","institution_ids":["https://openalex.org/I180825142"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5001034554","display_name":"Iraklis Kollias","orcid":"https://orcid.org/0000-0001-5975-4243"},"institutions":[{"id":"https://openalex.org/I174458059","display_name":"National Technical University of Athens","ror":"https://ror.org/03cx6bg69","country_code":"GR","type":"education","lineage":["https://openalex.org/I174458059"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"Iraklis Kollias","raw_affiliation_strings":["National Technical University of Athens, School of Applied Mathematics and Physical Sciences, Zografou Campus, 157-80 Zografou, Athens, Greece"],"affiliations":[{"raw_affiliation_string":"National Technical University of Athens, School of Applied Mathematics and Physical Sciences, Zografou Campus, 157-80 Zografou, Athens, Greece","institution_ids":["https://openalex.org/I174458059"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5023395981"],"corresponding_institution_ids":["https://openalex.org/I180825142"],"apc_list":{"value":2582,"currency":"GBP","value_usd":3167},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.07150389,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"33","issue":"3","first_page":"859","last_page":"871"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T12303","display_name":"Tensor decomposition and applications","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/2605","display_name":"Computational Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9958999752998352,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/involution","display_name":"Involution (esoterism)","score":0.5649612545967102},{"id":"https://openalex.org/keywords/library-science","display_name":"Library science","score":0.47820258140563965},{"id":"https://openalex.org/keywords/history","display_name":"History","score":0.3526061773300171},{"id":"https://openalex.org/keywords/media-studies","display_name":"Media studies","score":0.33037519454956055},{"id":"https://openalex.org/keywords/political-science","display_name":"Political science","score":0.3031134009361267},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2921004891395569},{"id":"https://openalex.org/keywords/sociology","display_name":"Sociology","score":0.27177250385284424},{"id":"https://openalex.org/keywords/law","display_name":"Law","score":0.13075682520866394},{"id":"https://openalex.org/keywords/politics","display_name":"Politics","score":0.06747481226921082}],"concepts":[{"id":"https://openalex.org/C2781409172","wikidata":"https://www.wikidata.org/wiki/Q17056802","display_name":"Involution (esoterism)","level":3,"score":0.5649612545967102},{"id":"https://openalex.org/C161191863","wikidata":"https://www.wikidata.org/wiki/Q199655","display_name":"Library science","level":1,"score":0.47820258140563965},{"id":"https://openalex.org/C95457728","wikidata":"https://www.wikidata.org/wiki/Q309","display_name":"History","level":0,"score":0.3526061773300171},{"id":"https://openalex.org/C29595303","wikidata":"https://www.wikidata.org/wiki/Q165650","display_name":"Media studies","level":1,"score":0.33037519454956055},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.3031134009361267},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2921004891395569},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.27177250385284424},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.13075682520866394},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.06747481226921082}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1093/imamci/dnv007","is_oa":false,"landing_page_url":"https://doi.org/10.1093/imamci/dnv007","pdf_url":null,"source":{"id":"https://openalex.org/S162756791","display_name":"IMA Journal of Mathematical Control and Information","issn_l":"0265-0754","issn":["0265-0754","1471-6887"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IMA Journal of Mathematical Control and Information","raw_type":"journal-article"},{"id":"pmh:oai:open-archive.highwire.org:imamci:33/3/859","is_oa":false,"landing_page_url":"http://imamci.oxfordjournals.org/cgi/content/short/33/3/859","pdf_url":null,"source":{"id":"https://openalex.org/S4406923041","display_name":"HighWire Press Open Archive","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":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"TEXT"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6299999952316284,"id":"https://metadata.un.org/sdg/13","display_name":"Climate action"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W1488435683","https://openalex.org/W1543073047","https://openalex.org/W2012903925","https://openalex.org/W2020023082","https://openalex.org/W2067966714","https://openalex.org/W2140279008"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W2074310945","https://openalex.org/W2066496012","https://openalex.org/W2072825479","https://openalex.org/W2073650139","https://openalex.org/W2040758449","https://openalex.org/W2030559736","https://openalex.org/W2105113130","https://openalex.org/W2397945614","https://openalex.org/W2324759634"],"abstract_inverted_index":{"In":[0],"this":[1,31],"paper,":[2],"we":[3],"consider":[4],"some":[5],"new":[6],"tools":[7],"and":[8,128],"results":[9],"for":[10,44],"the":[11,27,67,72,76,81,89,93,131],"approximate":[12,115],"pole":[13,116,134],"placement":[14,117],"problem.":[15],"This":[16,53,106],"problem":[17,25,70,79,101,118],"is":[18,33,95,140],"related":[19,46,104],"to":[20,97,111,123],"solving":[21],"a":[22,36,45,55,64,85,98,103,113],"least":[23,68,82],"distance":[24,69,83],"from":[26,71,88],"Grassmann":[28],"variety.":[29],"When":[30],"variety":[32],"defined":[34],"by":[35,119],"single":[37],"quadratic,":[38],"it":[39],"entails":[40],"an":[41,51],"additional":[42],"structure":[43],"vector":[47],"space":[48,87],"equipped":[49],"with":[50],"involution.":[52,77],"implies":[54],"canonical":[56],"orthogonal":[57],"decomposition":[58],"of":[59,66,75,80,84,92,102,125],"vectors":[60],"as":[61,63],"well":[62],"solution":[65],"zero":[73,90],"set":[74,91],"The":[78],"linear":[86],"involution":[94],"reduced":[96],"numerical":[99],"range":[100],"matrix.":[105],"result":[107],"has":[108],"been":[109],"applied":[110],"solve":[112],"multivariable":[114],"constant":[120],"output":[121],"feedback":[122],"systems":[124],"2-inputs,":[126],"2-outputs":[127],"<f>$n$</f>-states":[129],"when":[130],"generic":[132],"arbitrary":[133],"assignability":[135],"condition":[136],"<f>$4":[137],">":[138],"n$</f>":[139],"not":[141],"valid.":[142]},"counts_by_year":[{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}