{"id":"https://openalex.org/W2140584548","doi":"https://doi.org/10.1109/cca.2009.5281101","title":"An information theoretic approach to the statistical linearization of MIMO stochastic systems","display_name":"An information theoretic approach to the statistical linearization of MIMO stochastic systems","publication_year":2009,"publication_date":"2009-07-01","ids":{"openalex":"https://openalex.org/W2140584548","doi":"https://doi.org/10.1109/cca.2009.5281101","mag":"2140584548"},"language":"en","primary_location":{"id":"doi:10.1109/cca.2009.5281101","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cca.2009.5281101","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 IEEE Control Applications, (CCA) & Intelligent Control, (ISIC)","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/A5105977681","display_name":"K.R. Chernyshov","orcid":"https://orcid.org/0000-0003-4637-6161"},"institutions":[{"id":"https://openalex.org/I4210157430","display_name":"V. A. Trapeznikov Institute of Control Sciences","ror":"https://ror.org/05f3yt521","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210157430","https://openalex.org/I4210164537"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"K. R. Chernyshov","raw_affiliation_strings":["V.A. Trapeznikov Institute of Control Sciences, 65 Profsoyuznaya, Moscow 117997, Russia"],"affiliations":[{"raw_affiliation_string":"V.A. Trapeznikov Institute of Control Sciences, 65 Profsoyuznaya, Moscow 117997, Russia","institution_ids":["https://openalex.org/I4210157430"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5105977681"],"corresponding_institution_ids":["https://openalex.org/I4210157430"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.12041898,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1466","last_page":"1471"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9986000061035156,"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":0.9986000061035156,"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/T10876","display_name":"Fault Detection and Control Systems","score":0.9980000257492065,"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/T10711","display_name":"Target Tracking and Data Fusion in Sensor Networks","score":0.9721999764442444,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mutual-information","display_name":"Mutual information","score":0.7081508636474609},{"id":"https://openalex.org/keywords/linearization","display_name":"Linearization","score":0.5991672873497009},{"id":"https://openalex.org/keywords/stochastic-process","display_name":"Stochastic process","score":0.5407448410987854},{"id":"https://openalex.org/keywords/constructive","display_name":"Constructive","score":0.5327919125556946},{"id":"https://openalex.org/keywords/weighting","display_name":"Weighting","score":0.5293909907341003},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5152235627174377},{"id":"https://openalex.org/keywords/mimo","display_name":"MIMO","score":0.5128090977668762},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5060743689537048},{"id":"https://openalex.org/keywords/white-noise","display_name":"White noise","score":0.5029138922691345},{"id":"https://openalex.org/keywords/identification","display_name":"Identification (biology)","score":0.49495190382003784},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.4742946922779083},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.4493353068828583},{"id":"https://openalex.org/keywords/system-identification","display_name":"System identification","score":0.44080185890197754},{"id":"https://openalex.org/keywords/joint-probability-distribution","display_name":"Joint probability distribution","score":0.4241471290588379},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.42144763469696045},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4201834201812744},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.4132058918476105},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.320085734128952},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11024677753448486},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.09830403327941895},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.0904550850391388}],"concepts":[{"id":"https://openalex.org/C152139883","wikidata":"https://www.wikidata.org/wiki/Q252973","display_name":"Mutual information","level":2,"score":0.7081508636474609},{"id":"https://openalex.org/C11210021","wikidata":"https://www.wikidata.org/wiki/Q1520713","display_name":"Linearization","level":3,"score":0.5991672873497009},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.5407448410987854},{"id":"https://openalex.org/C2778701210","wikidata":"https://www.wikidata.org/wiki/Q28130034","display_name":"Constructive","level":3,"score":0.5327919125556946},{"id":"https://openalex.org/C183115368","wikidata":"https://www.wikidata.org/wiki/Q856577","display_name":"Weighting","level":2,"score":0.5293909907341003},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5152235627174377},{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.5128090977668762},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5060743689537048},{"id":"https://openalex.org/C112633086","wikidata":"https://www.wikidata.org/wiki/Q381287","display_name":"White noise","level":2,"score":0.5029138922691345},{"id":"https://openalex.org/C116834253","wikidata":"https://www.wikidata.org/wiki/Q2039217","display_name":"Identification (biology)","level":2,"score":0.49495190382003784},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.4742946922779083},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.4493353068828583},{"id":"https://openalex.org/C119247159","wikidata":"https://www.wikidata.org/wiki/Q1366192","display_name":"System identification","level":3,"score":0.44080185890197754},{"id":"https://openalex.org/C18653775","wikidata":"https://www.wikidata.org/wiki/Q1333358","display_name":"Joint probability distribution","level":2,"score":0.4241471290588379},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.42144763469696045},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4201834201812744},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.4132058918476105},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.320085734128952},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11024677753448486},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.09830403327941895},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.0904550850391388},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"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/C54197355","wikidata":"https://www.wikidata.org/wiki/Q5782992","display_name":"Beamforming","level":2,"score":0.0},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C126838900","wikidata":"https://www.wikidata.org/wiki/Q77604","display_name":"Radiology","level":1,"score":0.0},{"id":"https://openalex.org/C59822182","wikidata":"https://www.wikidata.org/wiki/Q441","display_name":"Botany","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cca.2009.5281101","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cca.2009.5281101","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 IEEE Control Applications, (CCA) & Intelligent Control, (ISIC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W201475280","https://openalex.org/W1992338978","https://openalex.org/W2014268383","https://openalex.org/W2018582985","https://openalex.org/W2056871913","https://openalex.org/W2101997269"],"related_works":["https://openalex.org/W2466816617","https://openalex.org/W1970834875","https://openalex.org/W842936808","https://openalex.org/W3174028392","https://openalex.org/W2000517284","https://openalex.org/W2365318811","https://openalex.org/W2136503713","https://openalex.org/W2375330620","https://openalex.org/W2363755581","https://openalex.org/W2378091429"],"abstract_inverted_index":{"A":[0,39,70],"kind":[1],"of":[2,7,16,18,30,42,73,81,84,88,94,103,120,124,142],"problems":[3],"appearing":[4],"under":[5],"identification":[6,108],"stochastic":[8,60],"systems":[9],"and":[10,91,97,100,145],"concerned":[11],"with":[12],"applying":[13],"nonlinear":[14],"measures":[15],"dependence":[17,31],"random":[19],"values":[20],"(processes)":[21],"is":[22,49,68,77,149],"analyzed.":[23],"Approaches":[24],"using":[25,78,130],"such":[26,74,131],"a":[27,44,53,64,75,137],"consistent":[28],"measure":[29],"as":[32,106,136],"the":[33,79,85,89,95,98,104,121,125,143],"Shannon's":[34],"mutual":[35,86],"information":[36,87],"are":[37],"considered.":[38],"constructive":[40],"procedure":[41,76],"deriving":[43],"linear":[45],"input/output":[46],"model":[47,105,146],"which":[48],"statistically":[50],"equivalent":[51],"to":[52,114],"multi":[54,57],"input":[55,90,99],"/":[56],"output":[58,92,101,147],"dynamic":[59],"system":[61,96,144],"driven":[62],"by":[63],"white-noise":[65],"Gaussian":[66],"process":[67],"proposed.":[69],"key":[71],"issue":[72],"condition":[80],"component-wise":[82],"coincidence":[83],"processes":[93,102,148],"an":[107,132],"criterion.":[109],"The":[110],"approach":[111],"enables":[112],"one":[113],"derive":[115],"explicit":[116],"relationships":[117],"determining":[118],"elements":[119],"weighting":[122],"matrices":[123],"linearized":[126],"model.":[127],"At":[128],"that,":[129],"unreal":[133],"preliminary":[134],"assumption":[135],"known":[138],"joint":[139],"probability":[140],"distribution":[141],"eliminated.":[150]},"counts_by_year":[],"updated_date":"2026-03-25T13:04:00.132906","created_date":"2025-10-10T00:00:00"}