{"id":"https://openalex.org/W2116284391","doi":"https://doi.org/10.1109/acc.2011.5991313","title":"LPV subspace identification using a novel nuclear norm regularization method","display_name":"LPV subspace identification using a novel nuclear norm regularization method","publication_year":2011,"publication_date":"2011-06-01","ids":{"openalex":"https://openalex.org/W2116284391","doi":"https://doi.org/10.1109/acc.2011.5991313","mag":"2116284391"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2011.5991313","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2011.5991313","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2011 American Control Conference","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/A5108253902","display_name":"Pieter Gebraad","orcid":null},"institutions":[{"id":"https://openalex.org/I98358874","display_name":"Delft University of Technology","ror":"https://ror.org/02e2c7k09","country_code":"NL","type":"education","lineage":["https://openalex.org/I98358874"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"P. M. O. Gebraad","raw_affiliation_strings":["Delft Center for Systems and Control (DCSC), Delft University of Technnology, Delft, Netherlands","Delft Center for Systems and Control, (DCSC), Delft University of Technology, Mekelweg 2, 2628 CD, The Netherlands"],"affiliations":[{"raw_affiliation_string":"Delft Center for Systems and Control (DCSC), Delft University of Technnology, Delft, Netherlands","institution_ids":["https://openalex.org/I98358874"]},{"raw_affiliation_string":"Delft Center for Systems and Control, (DCSC), Delft University of Technology, Mekelweg 2, 2628 CD, The Netherlands","institution_ids":["https://openalex.org/I98358874"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109232336","display_name":"J.W. van Wingerden","orcid":null},"institutions":[{"id":"https://openalex.org/I98358874","display_name":"Delft University of Technology","ror":"https://ror.org/02e2c7k09","country_code":"NL","type":"education","lineage":["https://openalex.org/I98358874"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"J. W. van Wingerden","raw_affiliation_strings":["Delft Center for Systems and Control (DCSC), Delft University of Technnology, Delft, Netherlands","Delft Center for Systems and Control, (DCSC), Delft University of Technology, Mekelweg 2, 2628 CD, The Netherlands"],"affiliations":[{"raw_affiliation_string":"Delft Center for Systems and Control (DCSC), Delft University of Technnology, Delft, Netherlands","institution_ids":["https://openalex.org/I98358874"]},{"raw_affiliation_string":"Delft Center for Systems and Control, (DCSC), Delft University of Technology, Mekelweg 2, 2628 CD, The Netherlands","institution_ids":["https://openalex.org/I98358874"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5055601586","display_name":"G. J. van der Veen","orcid":null},"institutions":[{"id":"https://openalex.org/I98358874","display_name":"Delft University of Technology","ror":"https://ror.org/02e2c7k09","country_code":"NL","type":"education","lineage":["https://openalex.org/I98358874"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"G. J. van der Veen","raw_affiliation_strings":["Delft Center for Systems and Control (DCSC), Delft University of Technnology, Delft, Netherlands","Delft Center for Systems and Control, (DCSC), Delft University of Technology, Mekelweg 2, 2628 CD, The Netherlands"],"affiliations":[{"raw_affiliation_string":"Delft Center for Systems and Control (DCSC), Delft University of Technnology, Delft, Netherlands","institution_ids":["https://openalex.org/I98358874"]},{"raw_affiliation_string":"Delft Center for Systems and Control, (DCSC), Delft University of Technology, Mekelweg 2, 2628 CD, The Netherlands","institution_ids":["https://openalex.org/I98358874"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5003504954","display_name":"Michel Verhaegen","orcid":"https://orcid.org/0000-0002-7967-6884"},"institutions":[{"id":"https://openalex.org/I98358874","display_name":"Delft University of Technology","ror":"https://ror.org/02e2c7k09","country_code":"NL","type":"education","lineage":["https://openalex.org/I98358874"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"M. Verhaegen","raw_affiliation_strings":["Delft Center for Systems and Control (DCSC), Delft University of Technnology, Delft, Netherlands","Delft Center for Systems and Control, (DCSC), Delft University of Technology, Mekelweg 2, 2628 CD, The Netherlands"],"affiliations":[{"raw_affiliation_string":"Delft Center for Systems and Control (DCSC), Delft University of Technnology, Delft, Netherlands","institution_ids":["https://openalex.org/I98358874"]},{"raw_affiliation_string":"Delft Center for Systems and Control, (DCSC), Delft University of Technology, Mekelweg 2, 2628 CD, The Netherlands","institution_ids":["https://openalex.org/I98358874"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5108253902"],"corresponding_institution_ids":["https://openalex.org/I98358874"],"apc_list":null,"apc_paid":null,"fwci":7.3499,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.96713379,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"37","issue":null,"first_page":"165","last_page":"170"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10534","display_name":"Structural Health Monitoring Techniques","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural 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/T10534","display_name":"Structural Health Monitoring Techniques","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural 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/T11236","display_name":"Control Systems and Identification","score":0.9991999864578247,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9907000064849854,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/tikhonov-regularization","display_name":"Tikhonov regularization","score":0.83836829662323},{"id":"https://openalex.org/keywords/regularization-perspectives-on-support-vector-machines","display_name":"Regularization perspectives on support vector machines","score":0.7431451082229614},{"id":"https://openalex.org/keywords/subspace-topology","display_name":"Subspace topology","score":0.7417792081832886},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.7322226762771606},{"id":"https://openalex.org/keywords/proximal-gradient-methods-for-learning","display_name":"Proximal gradient methods for learning","score":0.6968311667442322},{"id":"https://openalex.org/keywords/backus\u2013gilbert-method","display_name":"Backus\u2013Gilbert method","score":0.6162901520729065},{"id":"https://openalex.org/keywords/curse-of-dimensionality","display_name":"Curse of dimensionality","score":0.556721568107605},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5469737648963928},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.4872216284275055},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.46905210614204407},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4662783145904541},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.452101469039917},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.39999818801879883},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.38620537519454956},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.38578563928604126},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.34772682189941406},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3375988304615021},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.21661114692687988}],"concepts":[{"id":"https://openalex.org/C152442038","wikidata":"https://www.wikidata.org/wiki/Q2778212","display_name":"Tikhonov regularization","level":3,"score":0.83836829662323},{"id":"https://openalex.org/C141718189","wikidata":"https://www.wikidata.org/wiki/Q7309628","display_name":"Regularization perspectives on support vector machines","level":4,"score":0.7431451082229614},{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.7417792081832886},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.7322226762771606},{"id":"https://openalex.org/C79248915","wikidata":"https://www.wikidata.org/wiki/Q17086776","display_name":"Proximal gradient methods for learning","level":5,"score":0.6968311667442322},{"id":"https://openalex.org/C27872270","wikidata":"https://www.wikidata.org/wiki/Q4839810","display_name":"Backus\u2013Gilbert method","level":5,"score":0.6162901520729065},{"id":"https://openalex.org/C111030470","wikidata":"https://www.wikidata.org/wiki/Q1430460","display_name":"Curse of dimensionality","level":2,"score":0.556721568107605},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5469737648963928},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.4872216284275055},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.46905210614204407},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4662783145904541},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.452101469039917},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.39999818801879883},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.38620537519454956},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.38578563928604126},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.34772682189941406},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3375988304615021},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.21661114692687988},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"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/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/acc.2011.5991313","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2011.5991313","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2011 American Control Conference","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":18,"referenced_works":["https://openalex.org/W1488435683","https://openalex.org/W1510869941","https://openalex.org/W1515569264","https://openalex.org/W1596634559","https://openalex.org/W1964628322","https://openalex.org/W1981494355","https://openalex.org/W1982182688","https://openalex.org/W1992209215","https://openalex.org/W2014380849","https://openalex.org/W2048750073","https://openalex.org/W2059283452","https://openalex.org/W2062956290","https://openalex.org/W2084026104","https://openalex.org/W2111232193","https://openalex.org/W2148469736","https://openalex.org/W2615836285","https://openalex.org/W2798909945","https://openalex.org/W6641317360"],"related_works":["https://openalex.org/W2807240017","https://openalex.org/W2366023887","https://openalex.org/W2059130945","https://openalex.org/W2805921369","https://openalex.org/W2394283419","https://openalex.org/W2188929001","https://openalex.org/W2606473771","https://openalex.org/W2069968238","https://openalex.org/W3022004076","https://openalex.org/W2020486201"],"abstract_inverted_index":{"It":[0],"is":[1,90,128],"well-known":[2],"that":[3,91,127],"recently":[4],"proposed":[5],"Linear":[6],"Parameter-Varying":[7],"(LPV)":[8,132],"subspace":[9,100,133],"identification":[10,134],"techniques":[11],"suffer":[12],"from":[13],"a":[14,56,59,94,142],"curse":[15],"of":[16,67,87],"dimensionality":[17],"leading":[18],"to":[19,34,55,79,130],"an":[20],"ill-posed":[21,82],"parameter":[22,37,117],"estimation":[23,38,118],"problem.":[24,39,83],"In":[25,62],"this":[26,88],"paper":[27,89,140],"we":[28,92],"will":[29,137],"focus":[30],"on":[31,123],"regularization":[32,43,47,51,96,105,148],"methods":[33,52],"solve":[35],"the":[36,71,81,102,113,116,124,131,139,146],"Tikhonov":[40],"and":[41],"TSVD":[42],"are":[44],"conventional":[45],"general-purpose":[46,50],"methods.":[48],"These":[49],"give":[53],"preference":[54],"solution":[57,73,126],"with":[58,141],"small":[60],"2-norm.":[61],"principle":[63],"many":[64],"other":[65],"types":[66],"additional":[68],"information":[69,122],"about":[70],"desired":[72,125],"can":[74],"be":[75],"incorporated":[76],"in":[77],"order":[78],"stabilize":[80],"The":[84],"main":[85],"contribution":[86],"propose":[93],"novel":[95],"strategy":[97],"for":[98],"LPV":[99],"methods:":[101],"nuclear":[103],"norm":[104],"method.":[106],"By":[107],"applying":[108],"state-of-the-art":[109],"convex":[110],"optimization":[111],"techniques,":[112],"method":[114],"stabilizes":[115],"problem":[119],"by":[120],"including":[121],"specific":[129],"scheme.":[135],"We":[136],"conclude":[138],"summarizing":[143],"comparison":[144],"between":[145],"different":[147],"techniques.":[149]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}