{"id":"https://openalex.org/W1985872502","doi":"https://doi.org/10.1109/cdc.2014.7040168","title":"Steady state Kalman Filter behavior for unstabilizable systems","display_name":"Steady state Kalman Filter behavior for unstabilizable systems","publication_year":2014,"publication_date":"2014-12-01","ids":{"openalex":"https://openalex.org/W1985872502","doi":"https://doi.org/10.1109/cdc.2014.7040168","mag":"1985872502"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2014.7040168","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2014.7040168","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"53rd IEEE Conference on Decision and Control","raw_type":"proceedings-article"},"type":"conference-paper","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/A5003042086","display_name":"Soura Dasgupta","orcid":"https://orcid.org/0000-0001-6633-2938"},"institutions":[{"id":"https://openalex.org/I107077323","display_name":"Worcester Polytechnic Institute","ror":"https://ror.org/05ejpqr48","country_code":"US","type":"education","lineage":["https://openalex.org/I107077323"]},{"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":["Dept. of Electrical and Computer Engineering, Worcester Polytechnic Institute, Iowa City, Iowa","Department of Electrical and Computer Engineering, University of Iowa, 52242 USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. of Electrical and Computer Engineering, Worcester Polytechnic Institute, Iowa City, Iowa","institution_ids":["https://openalex.org/I107077323"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Iowa, 52242 USA","institution_ids":["https://openalex.org/I126307644"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5112827492","display_name":"Donald R. Brown","orcid":null},"institutions":[{"id":"https://openalex.org/I107077323","display_name":"Worcester Polytechnic Institute","ror":"https://ror.org/05ejpqr48","country_code":"US","type":"education","lineage":["https://openalex.org/I107077323"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"D. Richard Brown","raw_affiliation_strings":["Dept. of Electrical and Computer Engineering, Worcester Polytechnic Institute, Iowa City, Iowa","Department of Electrical & Computer Engineering, Worcester Polytechnic Institute, 100 Institute Rd, MA 01609, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. of Electrical and Computer Engineering, Worcester Polytechnic Institute, Iowa City, Iowa","institution_ids":["https://openalex.org/I107077323"]},{"raw_affiliation_string":"Department of Electrical & Computer Engineering, Worcester Polytechnic Institute, 100 Institute Rd, MA 01609, USA","institution_ids":["https://openalex.org/I107077323"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100431313","display_name":"Rui Wang","orcid":"https://orcid.org/0000-0002-7974-9510"},"institutions":[{"id":"https://openalex.org/I107077323","display_name":"Worcester Polytechnic Institute","ror":"https://ror.org/05ejpqr48","country_code":"US","type":"education","lineage":["https://openalex.org/I107077323"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Rui Wang","raw_affiliation_strings":["Dept. of Electrical and Computer Engineering, Worcester Polytechnic Institute, Iowa City, Iowa","Department of Electrical & Computer Engineering, Worcester Polytechnic Institute, 100 Institute Rd, MA 01609, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. of Electrical and Computer Engineering, Worcester Polytechnic Institute, Iowa City, Iowa","institution_ids":["https://openalex.org/I107077323"]},{"raw_affiliation_string":"Department of Electrical & Computer Engineering, Worcester Polytechnic Institute, 100 Institute Rd, MA 01609, USA","institution_ids":["https://openalex.org/I107077323"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.07158324,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":93},"biblio":{"volume":null,"issue":null,"first_page":"4989","last_page":"4994"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11233","display_name":"Advanced Adaptive Filtering Techniques","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T11233","display_name":"Advanced Adaptive Filtering Techniques","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9970999956130981,"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/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9955999851226807,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/kalman-filter","display_name":"Kalman filter","score":0.8052709698677063},{"id":"https://openalex.org/keywords/positive-definite-matrix","display_name":"Positive-definite matrix","score":0.7478136420249939},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.67936110496521},{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.668830394744873},{"id":"https://openalex.org/keywords/realization","display_name":"Realization (probability)","score":0.6163774132728577},{"id":"https://openalex.org/keywords/semidefinite-programming","display_name":"Semidefinite programming","score":0.5805575847625732},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5183151960372925},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5162779688835144},{"id":"https://openalex.org/keywords/algebraic-riccati-equation","display_name":"Algebraic Riccati equation","score":0.497849702835083},{"id":"https://openalex.org/keywords/riccati-equation","display_name":"Riccati equation","score":0.46333184838294983},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.46271273493766785},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.40958860516548157},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.2347564995288849},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.15527161955833435},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.1377987563610077},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.096873939037323},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.0917716920375824},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09150049090385437},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.0708942711353302},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06760162115097046}],"concepts":[{"id":"https://openalex.org/C157286648","wikidata":"https://www.wikidata.org/wiki/Q846780","display_name":"Kalman filter","level":2,"score":0.8052709698677063},{"id":"https://openalex.org/C49712288","wikidata":"https://www.wikidata.org/wiki/Q77601250","display_name":"Positive-definite matrix","level":3,"score":0.7478136420249939},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.67936110496521},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.668830394744873},{"id":"https://openalex.org/C2781089630","wikidata":"https://www.wikidata.org/wiki/Q21856745","display_name":"Realization (probability)","level":2,"score":0.6163774132728577},{"id":"https://openalex.org/C101901036","wikidata":"https://www.wikidata.org/wiki/Q2269096","display_name":"Semidefinite programming","level":2,"score":0.5805575847625732},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5183151960372925},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5162779688835144},{"id":"https://openalex.org/C13847129","wikidata":"https://www.wikidata.org/wiki/Q4723989","display_name":"Algebraic Riccati equation","level":4,"score":0.497849702835083},{"id":"https://openalex.org/C45473103","wikidata":"https://www.wikidata.org/wiki/Q851503","display_name":"Riccati equation","level":3,"score":0.46333184838294983},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.46271273493766785},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.40958860516548157},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2347564995288849},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.15527161955833435},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.1377987563610077},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.096873939037323},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0917716920375824},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09150049090385437},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.0708942711353302},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06760162115097046},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2014.7040168","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2014.7040168","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"53rd IEEE Conference on Decision and Control","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W195399875","https://openalex.org/W1501233054","https://openalex.org/W1536997931","https://openalex.org/W1974849590","https://openalex.org/W2009618734","https://openalex.org/W2034246872","https://openalex.org/W2035326564","https://openalex.org/W2051156012","https://openalex.org/W2057475323","https://openalex.org/W2122512809","https://openalex.org/W2128312910","https://openalex.org/W2128978199","https://openalex.org/W2136263258","https://openalex.org/W2165492624","https://openalex.org/W2167447263","https://openalex.org/W2293807537","https://openalex.org/W2296065489","https://openalex.org/W4229512196","https://openalex.org/W6652623495","https://openalex.org/W6697631228"],"related_works":["https://openalex.org/W2005019312","https://openalex.org/W2105459831","https://openalex.org/W1546579375","https://openalex.org/W1563296412","https://openalex.org/W2127238600","https://openalex.org/W2096105566","https://openalex.org/W2114791549","https://openalex.org/W16457797","https://openalex.org/W2792258377","https://openalex.org/W1530596433"],"abstract_inverted_index":{"Some":[0],"important":[1],"textbooks":[2],"on":[3,62,99],"Kalman":[4,63],"Filters":[5],"suggest":[6],"that":[7,31,83,89],"positive":[8,39,74],"semidefinite":[9,40,75],"solutions":[10,41],"to":[11,77],"the":[12,22,43,49,78,94,100],"filtering":[13],"Algebraic":[14],"Riccati":[15],"Equation":[16],"(ARE)":[17],"cannot":[18],"be":[19,27],"stabilizing":[20],"should":[21],"underlying":[23],"state":[24],"variable":[25],"realization":[26],"unstabilizable.":[28],"We":[29],"show":[30,88],"this":[32,69],"is":[33,91],"false.":[34],"Questions":[35],"of":[36,38,42,51],"uniqueness":[37],"ARE":[44,79],"are":[45,84,98],"also":[46],"unresolved":[47],"in":[48,57],"absence":[50],"stabilizability.":[52,67],"Yet":[53],"fundamental":[54],"performance":[55,65],"issues":[56],"modern":[58],"communications":[59],"systems":[60,82],"hinge":[61],"Filter":[64],"absent":[66],"In":[68],"paper":[70],"we":[71],"provide":[72],"a":[73],"solution":[76],"for":[80],"detectable":[81],"not":[85],"stabilizabile":[86],"and":[87],"it":[90],"unique":[92],"if":[93],"only":[95],"unreachable":[96],"modes":[97],"unit":[101],"circle.":[102]},"counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}