{"id":"https://openalex.org/W4212764296","doi":"https://doi.org/10.1109/tac.2022.3151732","title":"Functional Detectability and Asymptotic Functional Observer Design","display_name":"Functional Detectability and Asymptotic Functional Observer Design","publication_year":2022,"publication_date":"2022-02-16","ids":{"openalex":"https://openalex.org/W4212764296","doi":"https://doi.org/10.1109/tac.2022.3151732"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2022.3151732","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2022.3151732","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_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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","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/A5031918402","display_name":"Mohamed Darouach","orcid":"https://orcid.org/0000-0003-2298-2124"},"institutions":[{"id":"https://openalex.org/I4210110792","display_name":"Centre de Recherche en Automatique de Nancy","ror":"https://ror.org/022r5hc56","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210099203","https://openalex.org/I4210100260","https://openalex.org/I4210110792","https://openalex.org/I4210159245","https://openalex.org/I90183372"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Mohamed Darouach","raw_affiliation_strings":["Centre de Recherche en Automatique de Nancy, Université de Lorraine, Cosnes et Romain, France"],"raw_orcid":"https://orcid.org/0000-0003-2298-2124","affiliations":[{"raw_affiliation_string":"Centre de Recherche en Automatique de Nancy, Université de Lorraine, Cosnes et Romain, France","institution_ids":["https://openalex.org/I4210110792"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5057620433","display_name":"Tyrone Fernando","orcid":"https://orcid.org/0000-0003-0140-8887"},"institutions":[{"id":"https://openalex.org/I177877127","display_name":"The University of Western Australia","ror":"https://ror.org/047272k79","country_code":"AU","type":"education","lineage":["https://openalex.org/I177877127"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Tyrone Fernando","raw_affiliation_strings":["Department of Electrical, Electronic and Computer Engineering, University of Western Australia, Crawley, WA, Australia"],"raw_orcid":"https://orcid.org/0000-0003-0140-8887","affiliations":[{"raw_affiliation_string":"Department of Electrical, Electronic and Computer Engineering, University of Western Australia, Crawley, WA, Australia","institution_ids":["https://openalex.org/I177877127"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.6977,"has_fulltext":false,"cited_by_count":28,"citation_normalized_percentile":{"value":0.89790737,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"68","issue":"2","first_page":"975","last_page":"990"},"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":0.9997000098228455,"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":0.9997000098228455,"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/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9988999962806702,"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":0.9986000061035156,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7079219818115234},{"id":"https://openalex.org/keywords/observer","display_name":"Observer (physics)","score":0.6515297889709473},{"id":"https://openalex.org/keywords/sylvester-equation","display_name":"Sylvester equation","score":0.5907858610153198},{"id":"https://openalex.org/keywords/sylvester-matrix","display_name":"Sylvester matrix","score":0.5789943337440491},{"id":"https://openalex.org/keywords/functional-equation","display_name":"Functional equation","score":0.5113329291343689},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.5026249885559082},{"id":"https://openalex.org/keywords/canonical-form","display_name":"Canonical form","score":0.47578585147857666},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.43758103251457214},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.435025155544281},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4347551465034485},{"id":"https://openalex.org/keywords/functional-approach","display_name":"Functional approach","score":0.43074262142181396},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.421842098236084},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.41666659712791443},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.2633112668991089},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2276938259601593},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.18432721495628357},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.17699584364891052},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.16196754574775696},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.13468942046165466},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.1136421263217926}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7079219818115234},{"id":"https://openalex.org/C2780704645","wikidata":"https://www.wikidata.org/wiki/Q9251458","display_name":"Observer (physics)","level":2,"score":0.6515297889709473},{"id":"https://openalex.org/C100468782","wikidata":"https://www.wikidata.org/wiki/Q3730848","display_name":"Sylvester equation","level":3,"score":0.5907858610153198},{"id":"https://openalex.org/C20160815","wikidata":"https://www.wikidata.org/wiki/Q1482452","display_name":"Sylvester matrix","level":5,"score":0.5789943337440491},{"id":"https://openalex.org/C153576954","wikidata":"https://www.wikidata.org/wiki/Q594452","display_name":"Functional equation","level":3,"score":0.5113329291343689},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.5026249885559082},{"id":"https://openalex.org/C204707403","wikidata":"https://www.wikidata.org/wiki/Q1152398","display_name":"Canonical form","level":2,"score":0.47578585147857666},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.43758103251457214},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.435025155544281},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4347551465034485},{"id":"https://openalex.org/C2777131603","wikidata":"https://www.wikidata.org/wiki/Q5508796","display_name":"Functional approach","level":2,"score":0.43074262142181396},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.421842098236084},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.41666659712791443},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.2633112668991089},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2276938259601593},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.18432721495628357},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.17699584364891052},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.16196754574775696},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.13468942046165466},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.1136421263217926},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"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/C101044782","wikidata":"https://www.wikidata.org/wiki/Q6787887","display_name":"Matrix polynomial","level":3,"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/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C107457646","wikidata":"https://www.wikidata.org/wiki/Q207434","display_name":"Human\u2013computer interaction","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"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/C126352355","wikidata":"https://www.wikidata.org/wiki/Q2562273","display_name":"Polynomial matrix","level":4,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tac.2022.3151732","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2022.3151732","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_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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"},{"id":"pmh:oai:pure.atira.dk:publications/d4b7a771-a53f-4c1f-ab1d-5f999b58b8f4","is_oa":false,"landing_page_url":"https://research-repository.uwa.edu.au/en/publications/d4b7a771-a53f-4c1f-ab1d-5f999b58b8f4","pdf_url":null,"source":{"id":"https://openalex.org/S4306402523","display_name":"UWA Profiles and Research Repository (University of Western Australia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I177877127","host_organization_name":"The University of Western Australia","host_organization_lineage":["https://openalex.org/I177877127"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Darouach , M & Fernando , T 2023 , ' Functional Detectability and Asymptotic Functional Observer Design ' , IEEE Transactions on Automatic Control , vol. 68 , no. 2 , pp. 975-990 . https://doi.org/10.1109/TAC.2022.3151732","raw_type":"article"},{"id":"pmh:oai:HAL:hal-03877173v1","is_oa":false,"landing_page_url":"https://hal.science/hal-03877173","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Transactions on Automatic Control, 2023, 68 (2), pp.975-990. ⟨10.1109/TAC.2022.3151732⟩","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320308316","display_name":"Institute for Advanced Study","ror":"https://ror.org/00f809463"},{"id":"https://openalex.org/F4320320991","display_name":"University of Western Australia","ror":"https://ror.org/047272k79"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W45681349","https://openalex.org/W76057665","https://openalex.org/W83533993","https://openalex.org/W640910350","https://openalex.org/W1175903360","https://openalex.org/W1921007320","https://openalex.org/W1984173476","https://openalex.org/W1993884479","https://openalex.org/W2000894843","https://openalex.org/W2005969398","https://openalex.org/W2011180848","https://openalex.org/W2018466653","https://openalex.org/W2020172031","https://openalex.org/W2025292534","https://openalex.org/W2087964183","https://openalex.org/W2088215541","https://openalex.org/W2096576364","https://openalex.org/W2096918430","https://openalex.org/W2097104264","https://openalex.org/W2105934661","https://openalex.org/W2113427033","https://openalex.org/W2113556584","https://openalex.org/W2119340873","https://openalex.org/W2131920939","https://openalex.org/W2136601076","https://openalex.org/W2137478350","https://openalex.org/W2163996780","https://openalex.org/W2344553325","https://openalex.org/W2417903161","https://openalex.org/W2511142516","https://openalex.org/W2766109139","https://openalex.org/W2805848106","https://openalex.org/W2963335513","https://openalex.org/W2978667908","https://openalex.org/W4206073381","https://openalex.org/W4240369198","https://openalex.org/W6752087026"],"related_works":["https://openalex.org/W1973485705","https://openalex.org/W2087190655","https://openalex.org/W1597114477","https://openalex.org/W2036701498","https://openalex.org/W2963208966","https://openalex.org/W3141082938","https://openalex.org/W2754872946","https://openalex.org/W2073638342","https://openalex.org/W2556076750","https://openalex.org/W3131599086"],"abstract_inverted_index":{"The":[0,81,93],"objective":[1],"of":[2,53,66,114,122,137,140,178,192],"this":[3],"article":[4],"is":[5,24,90,132,148,196],"to":[6,11,34,160,204],"present":[7],"a":[8,18,161],"new":[9,19],"solution":[10,89,139],"the":[12,45,51,79,84,100,104,120,129,138,141,145,151,176,185,190,193,206],"functional":[13,22,36,69,94,105,115,186],"observer":[14,70,95,187],"design":[15,52],"problem.":[16],"First,":[17],"definition":[20],"for":[21,30,64,112,184],"detectability":[23,47,106,191],"given;":[25],"then,":[26],"some":[27,171],"algebraic":[28],"conditions":[29,63,111,169,174],"linear":[31,179],"multivariable":[32],"systems":[33],"be":[35],"detectable":[37],"are":[38,71,97,117,182,202],"presented.":[39],"They":[40],"generalize":[41],"and":[42,55,61,73,87,103,109,144,155,167,170],"coincide":[43],"with":[44,83],"existing":[46,76],"condition":[48],"required":[49],"in":[50,78,119,175],"reduced":[54],"full-order":[56],"Luenberger":[57],"observers.":[58],"Then,":[59],"necessary":[60],"sufficient":[62,110,168,173],"existence":[65],"an":[67],"asymptotic":[68],"given":[72,118,183,203],"complete":[74],"those":[75],"results":[77],"literature.":[80],"connection":[82],"Sylvester":[85,101,142],"equation":[86,102],"its":[88,156],"also":[91],"given.":[92],"parameters":[96],"obtained":[98],"from":[99],"condition.":[107],"Necessary":[108,166],"stability":[113,135],"observers":[116],"form":[121,154,177],"matrix":[123,180],"inequalities":[124],"based":[125,133,149],"on":[126,134,150],"two":[127],"approaches:":[128],"first":[130],"approach":[131,147],"analysis":[136],"equation,":[143],"second":[146],"Frobenius":[152],"canonical":[153],"spectrum,":[157],"which":[158],"leads":[159],"static":[162],"output":[163],"feedback":[164],"formulation.":[165],"simple":[172],"inequality":[181],"design.":[188],"Moreover,":[189],"considered":[194],"system":[195],"not":[197],"required.":[198],"Two":[199],"numerical":[200],"examples":[201],"illustrate":[205],"presented":[207],"results.":[208]},"counts_by_year":[{"year":2026,"cited_by_count":5},{"year":2025,"cited_by_count":10},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}