{"id":"https://openalex.org/W2132328168","doi":"https://doi.org/10.1109/9.618236","title":"On the partial stochastic realization problem","display_name":"On the partial stochastic realization problem","publication_year":1997,"publication_date":"1997-01-01","ids":{"openalex":"https://openalex.org/W2132328168","doi":"https://doi.org/10.1109/9.618236","mag":"2132328168"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1109/9.618236","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_indexed_in_scopus":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"journal-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/A5110332655","display_name":"C.I. Byrnes","orcid":null},"institutions":[{"id":"https://openalex.org/I204465549","display_name":"Washington University in St. Louis","ror":"https://ror.org/01yc7t268","country_code":"US","type":"education","lineage":["https://openalex.org/I204465549"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"C.I. Byrnes","raw_affiliation_strings":["Dept. of Syst. Sci. & Math, Washington Univ., St. Louis, MO, USA"],"affiliations":[{"raw_affiliation_string":"Dept. of Syst. Sci. & Math, Washington Univ., St. Louis, MO, USA","institution_ids":["https://openalex.org/I204465549"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5055347602","display_name":"Anders Lindquist","orcid":"https://orcid.org/0000-0002-2681-8383"},"institutions":[{"id":"https://openalex.org/I86987016","display_name":"KTH Royal Institute of Technology","ror":"https://ror.org/026vcq606","country_code":"SE","type":"education","lineage":["https://openalex.org/I86987016"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"A. Lindquist","raw_affiliation_strings":["Division of Optimization and Systems Theory, Royal Institute of Technology, Stockholm, Sweden"],"affiliations":[{"raw_affiliation_string":"Division of Optimization and Systems Theory, Royal Institute of Technology, Stockholm, Sweden","institution_ids":["https://openalex.org/I86987016"]}]}],"institution_assertions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":10.246,"has_fulltext":true,"fulltext_origin":"ngrams","cited_by_count":83,"citation_normalized_percentile":{"value":0.975744,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":96},"biblio":{"volume":"42","issue":"8","first_page":"1049","last_page":"1070"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.973,"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/T11236","display_name":"Control Systems and Identification","score":0.973,"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/T11366","display_name":"Elasticity and Material Modeling","score":0.97,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical 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/T10923","display_name":"Force Microscopy Techniques and Applications","score":0.9614,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/realization","display_name":"Realization (probability)","score":0.7072671},{"id":"https://openalex.org/keywords/minimal-realization","display_name":"Minimal realization","score":0.4848553},{"id":"https://openalex.org/keywords/partial-derivative","display_name":"Partial derivative","score":0.47065154},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness","score":0.46770948},{"id":"https://openalex.org/keywords/stochastic-control","display_name":"Stochastic control","score":0.4289434},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.41485208}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7483801},{"id":"https://openalex.org/C178650346","wikidata":"https://www.wikidata.org/wiki/Q201984","display_name":"Covariance","level":2,"score":0.7193842},{"id":"https://openalex.org/C2781089630","wikidata":"https://www.wikidata.org/wiki/Q21856745","display_name":"Realization (probability)","level":2,"score":0.7072671},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.56007314},{"id":"https://openalex.org/C205609532","wikidata":"https://www.wikidata.org/wiki/Q770324","display_name":"Minimal realization","level":3,"score":0.4848553},{"id":"https://openalex.org/C53846429","wikidata":"https://www.wikidata.org/wiki/Q186475","display_name":"Partial derivative","level":2,"score":0.47065154},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.46770948},{"id":"https://openalex.org/C49712288","wikidata":"https://www.wikidata.org/wiki/Q77601250","display_name":"Positive-definite matrix","level":3,"score":0.4329901},{"id":"https://openalex.org/C170131372","wikidata":"https://www.wikidata.org/wiki/Q7617811","display_name":"Stochastic control","level":3,"score":0.4289434},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.41485208},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.4129051},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3646775},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.23397341},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.22590023},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.21133733},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.13087344},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.10835451},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1109/9.618236","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_indexed_in_scopus":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false}],"best_oa_location":null,"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":47,"referenced_works":["https://openalex.org/W116606405","https://openalex.org/W129360673","https://openalex.org/W1502516483","https://openalex.org/W1534388827","https://openalex.org/W1576783654","https://openalex.org/W1783942818","https://openalex.org/W1964919148","https://openalex.org/W1966264494","https://openalex.org/W1978743197","https://openalex.org/W1983127118","https://openalex.org/W1984714339","https://openalex.org/W1993595567","https://openalex.org/W1997654672","https://openalex.org/W2010730829","https://openalex.org/W2022382077","https://openalex.org/W2043230617","https://openalex.org/W2045463928","https://openalex.org/W2053372316","https://openalex.org/W2059761085","https://openalex.org/W2069111276","https://openalex.org/W2073016547","https://openalex.org/W2076681846","https://openalex.org/W2078397440","https://openalex.org/W2081057532","https://openalex.org/W2091818260","https://openalex.org/W2094507477","https://openalex.org/W2107561939","https://openalex.org/W2117686912","https://openalex.org/W2137035049","https://openalex.org/W2137979739","https://openalex.org/W2161759277","https://openalex.org/W2162443378","https://openalex.org/W2165679222","https://openalex.org/W2174477337","https://openalex.org/W2261442997","https://openalex.org/W2312497442","https://openalex.org/W2469268216","https://openalex.org/W2470441680","https://openalex.org/W2911809927","https://openalex.org/W2917024098","https://openalex.org/W2991769464","https://openalex.org/W3141607091","https://openalex.org/W3144829920","https://openalex.org/W4240198037","https://openalex.org/W4285719527","https://openalex.org/W4301502985","https://openalex.org/W4361980065"],"related_works":["https://openalex.org/W2387523877","https://openalex.org/W2362838148","https://openalex.org/W2361901126","https://openalex.org/W2359279826","https://openalex.org/W2323830966","https://openalex.org/W2121345901","https://openalex.org/W2103955064","https://openalex.org/W1971813434","https://openalex.org/W188032563","https://openalex.org/W1595588025"],"abstract_inverted_index":{"We":[0,58],"describe":[1],"a":[2,17,33,49,129,153],"complete":[3,34],"parameterization":[4,35,99],"of":[5,16,24,36,63,69,72,87,102,123,149,152,157,161],"the":[6,9,43,56,61,70,73,79,85,90,103,121,141,150],"solutions":[7,41,88],"to":[8,42,52,78,89,113,131],"partial":[10,64,92,107,126,158],"stochastic":[11,65,93,125,155],"realization":[12,94,108,156],"problem":[13],"in":[14,55,67,106,137],"terms":[15,68],"nonstandard":[18],"matrix":[19],"Riccati":[20],"equation.":[21],"Our":[22],"analysis":[23],"this":[25,98],"covariance":[26,45,159],"extension":[27,46],"equation":[28],"(CEE)":[29],"is":[30,145],"based":[31],"on":[32],"all":[37],"strictly":[38],"positive":[39,75],"real":[40],"rational":[44],"problem,":[47],"answering":[48],"conjecture":[50],"due":[51],"Georgiou":[53],"(1987)":[54],"affirmative.":[57],"also":[59],"compute":[60],"dimension":[62],"realizations":[66],"rank":[71],"unique":[74],"semidefinite":[76],"solution":[77],"CEE,":[80],"yielding":[81],"some":[82,101],"insights":[83],"into":[84],"structure":[86],"minimal":[91,124,154],"problem.":[95],"By":[96],"combining":[97],"with":[100,140],"classical":[104],"approaches":[105],"theory,":[109],"we":[110,134],"are":[111],"able":[112],"derive":[114],"new":[115],"existence":[116],"and":[117],"robustness":[118],"results":[119],"concerning":[120],"degrees":[122],"realizations.":[127],"As":[128],"corollary":[130],"these":[132],"results,":[133],"note":[135],"that,":[136],"sharp":[138],"contrast":[139],"deterministic":[142],"case,":[143],"there":[144],"no":[146],"generic":[147],"value":[148],"degree":[151],"sequences":[160],"fixed":[162],"length.":[163]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2132328168","counts_by_year":[{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":3}],"updated_date":"2025-01-17T14:29:44.777399","created_date":"2016-06-24"}