{"id":"https://openalex.org/W2143366256","doi":"https://doi.org/10.1109/tim.2009.2038007","title":"Upper Bounding Variations of Best Linear Approximations of Nonlinear Systems in Power Sweep Measurements","display_name":"Upper Bounding Variations of Best Linear Approximations of Nonlinear Systems in Power Sweep Measurements","publication_year":2010,"publication_date":"2010-01-08","ids":{"openalex":"https://openalex.org/W2143366256","doi":"https://doi.org/10.1109/tim.2009.2038007","mag":"2143366256"},"language":"en","primary_location":{"id":"doi:10.1109/tim.2009.2038007","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tim.2009.2038007","pdf_url":null,"source":{"id":"https://openalex.org/S10892749","display_name":"IEEE Transactions on Instrumentation and Measurement","issn_l":"0018-9456","issn":["0018-9456","1557-9662"],"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 Instrumentation and Measurement","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/A5076996530","display_name":"J. Schoukens","orcid":"https://orcid.org/0000-0003-0492-6137"},"institutions":[{"id":"https://openalex.org/I13469542","display_name":"Vrije Universiteit Brussel","ror":"https://ror.org/006e5kg04","country_code":"BE","type":"education","lineage":["https://openalex.org/I13469542"]},{"id":"https://openalex.org/I865915315","display_name":"Vrije Universiteit Amsterdam","ror":"https://ror.org/008xxew50","country_code":"NL","type":"education","lineage":["https://openalex.org/I865915315"]}],"countries":["BE","NL"],"is_corresponding":false,"raw_author_name":"J. Schoukens","raw_affiliation_strings":["Electrical Measurement Department (ELEC), Vrije Universiteit Brussel, Brussels, Belgium","Electr. Meas. Dept. (ELEC), Vrije Univ. Brussel, Brussel, Belgium"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Electrical Measurement Department (ELEC), Vrije Universiteit Brussel, Brussels, Belgium","institution_ids":["https://openalex.org/I13469542"]},{"raw_affiliation_string":"Electr. Meas. Dept. (ELEC), Vrije Univ. Brussel, Brussel, Belgium","institution_ids":["https://openalex.org/I865915315"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067784521","display_name":"Tadeusz Dobrowiecki","orcid":"https://orcid.org/0000-0002-8307-5096"},"institutions":[{"id":"https://openalex.org/I29770179","display_name":"Budapest University of Technology and Economics","ror":"https://ror.org/02w42ss30","country_code":"HU","type":"education","lineage":["https://openalex.org/I29770179"]},{"id":"https://openalex.org/I3131446353","display_name":"Andr\u00e1ssy University Budapest","ror":"https://ror.org/05xezqk59","country_code":"HU","type":"education","lineage":["https://openalex.org/I3131446353"]}],"countries":["HU"],"is_corresponding":false,"raw_author_name":"T. Dobrowiecki","raw_affiliation_strings":["Department of Measurement and Information Systems, Budapest University\uc2a0of\uc2a0Technology\uc2a0and\uc2a0Economics, Budapest, Hungary","Dept of Meas. & Inf. Syst., Budapest Univ. of Technol. & Econ., Budapest, Hungary"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Measurement and Information Systems, Budapest University\uc2a0of\uc2a0Technology\uc2a0and\uc2a0Economics, Budapest, Hungary","institution_ids":["https://openalex.org/I3131446353"]},{"raw_affiliation_string":"Dept of Meas. & Inf. Syst., Budapest Univ. of Technol. & Econ., Budapest, Hungary","institution_ids":["https://openalex.org/I29770179"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074429391","display_name":"Yves Rolain","orcid":"https://orcid.org/0000-0003-2738-7914"},"institutions":[{"id":"https://openalex.org/I13469542","display_name":"Vrije Universiteit Brussel","ror":"https://ror.org/006e5kg04","country_code":"BE","type":"education","lineage":["https://openalex.org/I13469542"]},{"id":"https://openalex.org/I865915315","display_name":"Vrije Universiteit Amsterdam","ror":"https://ror.org/008xxew50","country_code":"NL","type":"education","lineage":["https://openalex.org/I865915315"]}],"countries":["BE","NL"],"is_corresponding":false,"raw_author_name":"Y. Rolain","raw_affiliation_strings":["Electrical Measurement Department (ELEC), Vrije Universiteit Brussel, Brussels, Belgium","Electr. Meas. Dept. (ELEC), Vrije Univ. Brussel, Brussel, Belgium"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Electrical Measurement Department (ELEC), Vrije Universiteit Brussel, Brussels, Belgium","institution_ids":["https://openalex.org/I13469542"]},{"raw_affiliation_string":"Electr. Meas. Dept. (ELEC), Vrije Univ. Brussel, Brussel, Belgium","institution_ids":["https://openalex.org/I865915315"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5034235885","display_name":"Rik Pintelon","orcid":"https://orcid.org/0000-0003-2389-2075"},"institutions":[{"id":"https://openalex.org/I13469542","display_name":"Vrije Universiteit Brussel","ror":"https://ror.org/006e5kg04","country_code":"BE","type":"education","lineage":["https://openalex.org/I13469542"]},{"id":"https://openalex.org/I865915315","display_name":"Vrije Universiteit Amsterdam","ror":"https://ror.org/008xxew50","country_code":"NL","type":"education","lineage":["https://openalex.org/I865915315"]}],"countries":["BE","NL"],"is_corresponding":false,"raw_author_name":"R. Pintelon","raw_affiliation_strings":["Electrical Measurement Department (ELEC), Vrije Universiteit Brussel, Brussels, Belgium","Electr. Meas. Dept. (ELEC), Vrije Univ. Brussel, Brussel, Belgium"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Electrical Measurement Department (ELEC), Vrije Universiteit Brussel, Brussels, Belgium","institution_ids":["https://openalex.org/I13469542"]},{"raw_affiliation_string":"Electr. Meas. Dept. (ELEC), Vrije Univ. Brussel, Brussel, Belgium","institution_ids":["https://openalex.org/I865915315"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.1876,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.89910889,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"59","issue":"5","first_page":"1141","last_page":"1148"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","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/T11236","display_name":"Control Systems and Identification","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/T11890","display_name":"Scientific Measurement and Uncertainty Evaluation","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10876","display_name":"Fault Detection and Control Systems","score":0.9934999942779541,"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/bounding-overwatch","display_name":"Bounding overwatch","score":0.5051098465919495},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4226089119911194},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.39061975479125977},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3395938277244568}],"concepts":[{"id":"https://openalex.org/C63584917","wikidata":"https://www.wikidata.org/wiki/Q333286","display_name":"Bounding overwatch","level":2,"score":0.5051098465919495},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4226089119911194},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.39061975479125977},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3395938277244568}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tim.2009.2038007","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tim.2009.2038007","pdf_url":null,"source":{"id":"https://openalex.org/S10892749","display_name":"IEEE Transactions on Instrumentation and Measurement","issn_l":"0018-9456","issn":["0018-9456","1557-9662"],"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 Instrumentation and Measurement","raw_type":"journal-article"},{"id":"pmh:oai:vubissmart:VUBISSMART:2000:60315","is_oa":false,"landing_page_url":"https://biblio.vub.ac.be/vubir/upper-bounding-variations-of-best-linear-approximations-of-nonlinear-systems-in-power-sweep-measurements(67d13999-1757-4d02-a01c-5e721dc88c69).html","pdf_url":null,"source":{"id":"https://openalex.org/S4306402573","display_name":"VUBIR (Vrije Universiteit Brussel)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I13469542","host_organization_name":"Vrije Universiteit Brussel","host_organization_lineage":["https://openalex.org/I13469542"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W405144601","https://openalex.org/W1494908267","https://openalex.org/W1501433466","https://openalex.org/W1515361063","https://openalex.org/W1521591241","https://openalex.org/W1983888154","https://openalex.org/W1991777572","https://openalex.org/W2003192860","https://openalex.org/W2073733671","https://openalex.org/W2083766201","https://openalex.org/W2086248552","https://openalex.org/W2105564885","https://openalex.org/W2134572560","https://openalex.org/W2137720674","https://openalex.org/W2150648248","https://openalex.org/W2151383158","https://openalex.org/W2989346022","https://openalex.org/W4249762338"],"related_works":["https://openalex.org/W2386767533","https://openalex.org/W4280560571","https://openalex.org/W2105831966","https://openalex.org/W3120143319","https://openalex.org/W3037814151","https://openalex.org/W2801801420","https://openalex.org/W2044638745","https://openalex.org/W1973019085","https://openalex.org/W2369744843","https://openalex.org/W3205453292"],"abstract_inverted_index":{"In":[0,111,151],"many":[1],"engineering":[2],"applications,":[3],"linear":[4,56,80,94],"models":[5],"are":[6],"preferred,":[7],"even":[8],"if":[9,105],"it":[10,102,196],"is":[11,16,75,109],"known":[12],"that":[13,67,69,74],"the":[14,54,72,79,93,99,106,141,144,157,174,201,208],"system":[15],"nonlinear.":[17],"A":[18],"large":[19],"class":[20,123,158],"of":[21,71,120,124,129,143,156,159,172,210],"nonlinear":[22,64,100,125],"systems":[23],"can":[24,136,164,176,188],"be":[25,137,165,177,190],"represented":[26],"as":[27],"<i":[28,32,38,42,47,59,83,130,147,185,211],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[29,33,36,39,43,48,51,60,84,87,131,134,148,186,212,215],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">Y</i>":[30],"=":[31],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">G</i>":[34,49,85,132,213],"<sub":[35,50,86,133,214],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">BLA</sub>":[37,52,88,135,216],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">U</i>":[40],"+":[41],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">YS</i>":[44,61],",":[45,217],"with":[46,203],"being":[53,62],"best":[55],"approximation":[57],"and":[58,122],"a":[63,154,181],"noise":[65],"source":[66],"represents":[68],"part":[70],"output":[73],"not":[76,89],"captured":[77],"by":[78,179],"approximation.":[81],"Because":[82],"only":[90],"depends":[91],"upon":[92],"dynamics":[95],"but":[96],"also":[97],"on":[98],"distortions,":[101],"will":[103],"vary":[104],"input":[107],"power":[108,145],"changed.":[110],"this":[112],"paper,":[113],"we":[114],"study":[115],"under":[116],"what":[117],"conditions":[118],"(class":[119],"excitations":[121],"systems)":[126],"these":[127],"variations":[128,175,209],"bounded,":[138],"starting":[139],"from":[140],"knowledge":[142],"spectrum":[146],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">SYS</i>":[149,187],".":[150],"general,":[152],"without":[153],"restriction":[155],"systems,":[160,173],"no":[161],"upper":[162,205],"bound":[163,206],"given.":[166],"However,":[167],"for":[168,207],"some":[169],"important":[170],"classes":[171],"bounded":[178],"selecting":[180],"well-defined":[182],"criterion.":[183],"Since":[184],"easily":[189],"measured":[191],"using":[192],"well-designed":[193],"measurement":[194],"procedures,":[195],"becomes":[197],"possible":[198],"to":[199,219],"provide":[200],"designer":[202],"an":[204],"leading":[218],"more":[220],"robust":[221],"design":[222],"procedures.":[223]},"counts_by_year":[{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}