{"id":"https://openalex.org/W2033322617","doi":"https://doi.org/10.1093/imamci/dnu057","title":"The static output feedback from the invariant point of view","display_name":"The static output feedback from the invariant point of view","publication_year":2015,"publication_date":"2015-02-04","ids":{"openalex":"https://openalex.org/W2033322617","doi":"https://doi.org/10.1093/imamci/dnu057","mag":"2033322617"},"language":"en","primary_location":{"id":"doi:10.1093/imamci/dnu057","is_oa":false,"landing_page_url":"https://doi.org/10.1093/imamci/dnu057","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/A5030877144","display_name":"Aristotle G. Yannakoudakis","orcid":null},"institutions":[{"id":"https://openalex.org/I28710699","display_name":"Hellenic Mediterranean University","ror":"https://ror.org/039ce0m20","country_code":"GR","type":"education","lineage":["https://openalex.org/I28710699"]}],"countries":["GR"],"is_corresponding":true,"raw_author_name":"Aristotle G. Yannakoudakis","raw_affiliation_strings":["Department of Electrical Engineering, Technological Educational Institute of Crete, Stavromenos, 71004 Iraklion Crete, Greece"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Technological Educational Institute of Crete, Stavromenos, 71004 Iraklion Crete, Greece","institution_ids":["https://openalex.org/I28710699"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5030877144"],"corresponding_institution_ids":["https://openalex.org/I28710699"],"apc_list":{"value":2582,"currency":"GBP","value_usd":3167},"apc_paid":null,"fwci":1.0098,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.79359618,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"33","issue":"3","first_page":"639","last_page":"668"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9980999827384949,"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"}},"topics":[{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9980999827384949,"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"}},{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9975000023841858,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.996999979019165,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/controllability","display_name":"Controllability","score":0.9215209484100342},{"id":"https://openalex.org/keywords/observability","display_name":"Observability","score":0.9167677164077759},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6837014555931091},{"id":"https://openalex.org/keywords/output-feedback","display_name":"Output feedback","score":0.6687828302383423},{"id":"https://openalex.org/keywords/lti-system-theory","display_name":"LTI system theory","score":0.6157622933387756},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5711299180984497},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.5453424453735352},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.4309806823730469},{"id":"https://openalex.org/keywords/sylvester-matrix","display_name":"Sylvester matrix","score":0.41392800211906433},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.3768351972103119},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3318560719490051},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.32365477085113525},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.19614744186401367},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.14504438638687134},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08654192090034485}],"concepts":[{"id":"https://openalex.org/C48209547","wikidata":"https://www.wikidata.org/wiki/Q1331104","display_name":"Controllability","level":2,"score":0.9215209484100342},{"id":"https://openalex.org/C36299963","wikidata":"https://www.wikidata.org/wiki/Q1369844","display_name":"Observability","level":2,"score":0.9167677164077759},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6837014555931091},{"id":"https://openalex.org/C3018623182","wikidata":"https://www.wikidata.org/wiki/Q154021","display_name":"Output feedback","level":3,"score":0.6687828302383423},{"id":"https://openalex.org/C87698059","wikidata":"https://www.wikidata.org/wiki/Q1808960","display_name":"LTI system theory","level":3,"score":0.6157622933387756},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5711299180984497},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.5453424453735352},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.4309806823730469},{"id":"https://openalex.org/C20160815","wikidata":"https://www.wikidata.org/wiki/Q1482452","display_name":"Sylvester matrix","level":5,"score":0.41392800211906433},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.3768351972103119},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3318560719490051},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.32365477085113525},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.19614744186401367},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14504438638687134},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08654192090034485},{"id":"https://openalex.org/C101044782","wikidata":"https://www.wikidata.org/wiki/Q6787887","display_name":"Matrix polynomial","level":3,"score":0.0},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.0},{"id":"https://openalex.org/C126352355","wikidata":"https://www.wikidata.org/wiki/Q2562273","display_name":"Polynomial matrix","level":4,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1093/imamci/dnu057","is_oa":false,"landing_page_url":"https://doi.org/10.1093/imamci/dnu057","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:33/3/639","is_oa":false,"landing_page_url":"http://imamci.oxfordjournals.org/cgi/content/short/33/3/639","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":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W217710249","https://openalex.org/W391677239","https://openalex.org/W1525750908","https://openalex.org/W1556970733","https://openalex.org/W1987162861","https://openalex.org/W1987662335","https://openalex.org/W1988076923","https://openalex.org/W2012340923","https://openalex.org/W2014312244","https://openalex.org/W2020023082","https://openalex.org/W2024399081","https://openalex.org/W2034552251","https://openalex.org/W2082751484","https://openalex.org/W2082848911","https://openalex.org/W2083144433","https://openalex.org/W2085436159","https://openalex.org/W2106588383","https://openalex.org/W2120055796","https://openalex.org/W2128978199","https://openalex.org/W2142439640","https://openalex.org/W2144112452","https://openalex.org/W2161367843","https://openalex.org/W2407130457","https://openalex.org/W4206919307","https://openalex.org/W4254742956","https://openalex.org/W6713767899"],"related_works":["https://openalex.org/W1986570998","https://openalex.org/W2332386680","https://openalex.org/W1983142522","https://openalex.org/W2782529250","https://openalex.org/W2037921533","https://openalex.org/W2508171592","https://openalex.org/W2801563517","https://openalex.org/W2130864543","https://openalex.org/W2068126039","https://openalex.org/W2041749520"],"abstract_inverted_index":{"This":[0],"paper":[1],"addresses":[2],"the":[3,44,67],"static":[4],"output":[5],"feedback":[6],"(SOF)":[7],"pole":[8],"placement":[9],"problem":[10],"of":[11],"linear":[12],"minimal":[13],"systems":[14],"with":[15,63],"|$m$|":[16],"inputs,":[17],"|$r$|":[18],"outputs,":[19],"|$n$|":[20],"states":[21],"and":[22,25,52],"non-zero":[23],"controllability":[24],"observability":[26],"indices,":[27],"as":[28,54,56],"an":[29,64],"eigenstructure":[30],"assignment":[31],"problem.":[32],"A":[33],"mosaic":[34],"Hankel":[35],"matrix":[36],"having":[37],"SOF-invariant":[38],"properties":[39],"is":[40],"used":[41],"to":[42],"reformulate":[43],"coupled":[45],"Sylvester":[46],"equations.":[47],"Necessary":[48],"conditions":[49],"for":[50,58],"assignability":[51],"stabilizability":[53],"well":[55],"sufficient":[57],"linearity":[59],"are":[60],"presented":[61],"together":[62],"algorithm":[65],"calculating":[66],"solution.":[68]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1}],"updated_date":"2026-02-25T21:11:00.739837","created_date":"2025-10-10T00:00:00"}