{"id":"https://openalex.org/W2159405849","doi":"https://doi.org/10.1109/cdc.2009.5400177","title":"Semidefinite programming methods for system realization and identification","display_name":"Semidefinite programming methods for system realization and identification","publication_year":2009,"publication_date":"2009-12-01","ids":{"openalex":"https://openalex.org/W2159405849","doi":"https://doi.org/10.1109/cdc.2009.5400177","mag":"2159405849"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2009.5400177","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2009.5400177","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference","raw_type":"proceedings-article"},"type":"conference-paper","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/A5100350349","display_name":"Liu Zhang","orcid":"https://orcid.org/0009-0001-8591-3612"},"institutions":[{"id":"https://openalex.org/I161318765","display_name":"University of California, Los Angeles","ror":"https://ror.org/046rm7j60","country_code":"US","type":"education","lineage":["https://openalex.org/I161318765"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Zhang Liu","raw_affiliation_strings":["Electrical Engineering Department, University of California, Los Angeles, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Electrical Engineering Department, University of California, Los Angeles, USA","institution_ids":["https://openalex.org/I161318765"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5017990990","display_name":"Lieven Vandenberghe","orcid":"https://orcid.org/0000-0003-4153-2268"},"institutions":[{"id":"https://openalex.org/I161318765","display_name":"University of California, Los Angeles","ror":"https://ror.org/046rm7j60","country_code":"US","type":"education","lineage":["https://openalex.org/I161318765"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Lieven Vandenberghe","raw_affiliation_strings":["Electrical Engineering Department, University of California, Los Angeles, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Electrical Engineering Department, University of California, Los Angeles, USA","institution_ids":["https://openalex.org/I161318765"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I161318765"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":24,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"38","issue":null,"first_page":"4676","last_page":"4681"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":1.0,"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"}},{"id":"https://openalex.org/T10931","display_name":"Direction-of-Arrival Estimation Techniques","score":0.9925000071525574,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9915000200271606,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/semidefinite-programming","display_name":"Semidefinite programming","score":0.8088831901550293},{"id":"https://openalex.org/keywords/singular-value-decomposition","display_name":"Singular value decomposition","score":0.7667102813720703},{"id":"https://openalex.org/keywords/singular-value","display_name":"Singular value","score":0.6718518733978271},{"id":"https://openalex.org/keywords/realization","display_name":"Realization (probability)","score":0.6451375484466553},{"id":"https://openalex.org/keywords/semidefinite-embedding","display_name":"Semidefinite embedding","score":0.6438407301902771},{"id":"https://openalex.org/keywords/matrix-norm","display_name":"Matrix norm","score":0.6251567602157593},{"id":"https://openalex.org/keywords/subspace-topology","display_name":"Subspace topology","score":0.5502344965934753},{"id":"https://openalex.org/keywords/matrix-decomposition","display_name":"Matrix decomposition","score":0.543023943901062},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.5064908266067505},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5031952261924744},{"id":"https://openalex.org/keywords/low-rank-approximation","display_name":"Low-rank approximation","score":0.5015382766723633},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.47640860080718994},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.4727802276611328},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4617711305618286},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4570896327495575},{"id":"https://openalex.org/keywords/positive-definite-matrix","display_name":"Positive-definite matrix","score":0.44894716143608093},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4361461400985718},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.43245774507522583},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.22163009643554688},{"id":"https://openalex.org/keywords/quadratic-programming","display_name":"Quadratic programming","score":0.21494024991989136},{"id":"https://openalex.org/keywords/quadratically-constrained-quadratic-program","display_name":"Quadratically constrained quadratic program","score":0.19868263602256775},{"id":"https://openalex.org/keywords/hankel-matrix","display_name":"Hankel matrix","score":0.19329902529716492},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.16023239493370056},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.15256422758102417},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07936617732048035}],"concepts":[{"id":"https://openalex.org/C101901036","wikidata":"https://www.wikidata.org/wiki/Q2269096","display_name":"Semidefinite programming","level":2,"score":0.8088831901550293},{"id":"https://openalex.org/C22789450","wikidata":"https://www.wikidata.org/wiki/Q420904","display_name":"Singular value decomposition","level":2,"score":0.7667102813720703},{"id":"https://openalex.org/C109282560","wikidata":"https://www.wikidata.org/wiki/Q4166054","display_name":"Singular value","level":3,"score":0.6718518733978271},{"id":"https://openalex.org/C2781089630","wikidata":"https://www.wikidata.org/wiki/Q21856745","display_name":"Realization (probability)","level":2,"score":0.6451375484466553},{"id":"https://openalex.org/C206818286","wikidata":"https://www.wikidata.org/wiki/Q7449403","display_name":"Semidefinite embedding","level":4,"score":0.6438407301902771},{"id":"https://openalex.org/C92207270","wikidata":"https://www.wikidata.org/wiki/Q939253","display_name":"Matrix norm","level":3,"score":0.6251567602157593},{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.5502344965934753},{"id":"https://openalex.org/C42355184","wikidata":"https://www.wikidata.org/wiki/Q1361088","display_name":"Matrix decomposition","level":3,"score":0.543023943901062},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.5064908266067505},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5031952261924744},{"id":"https://openalex.org/C90199385","wikidata":"https://www.wikidata.org/wiki/Q6692777","display_name":"Low-rank approximation","level":3,"score":0.5015382766723633},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.47640860080718994},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.4727802276611328},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4617711305618286},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4570896327495575},{"id":"https://openalex.org/C49712288","wikidata":"https://www.wikidata.org/wiki/Q77601250","display_name":"Positive-definite matrix","level":3,"score":0.44894716143608093},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4361461400985718},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.43245774507522583},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.22163009643554688},{"id":"https://openalex.org/C81845259","wikidata":"https://www.wikidata.org/wiki/Q290117","display_name":"Quadratic programming","level":2,"score":0.21494024991989136},{"id":"https://openalex.org/C65148998","wikidata":"https://www.wikidata.org/wiki/Q7268373","display_name":"Quadratically constrained quadratic program","level":3,"score":0.19868263602256775},{"id":"https://openalex.org/C25023664","wikidata":"https://www.wikidata.org/wiki/Q1575637","display_name":"Hankel matrix","level":2,"score":0.19329902529716492},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.16023239493370056},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.15256422758102417},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07936617732048035},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2009.5400177","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2009.5400177","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W129360673","https://openalex.org/W178056938","https://openalex.org/W1514558801","https://openalex.org/W1572079173","https://openalex.org/W1916337001","https://openalex.org/W1965324089","https://openalex.org/W1966096622","https://openalex.org/W2014092582","https://openalex.org/W2027533944","https://openalex.org/W2034022666","https://openalex.org/W2043260411","https://openalex.org/W2050354342","https://openalex.org/W2059283452","https://openalex.org/W2079365071","https://openalex.org/W2109161029","https://openalex.org/W2109869845","https://openalex.org/W2118550318","https://openalex.org/W2119462269","https://openalex.org/W2124608575","https://openalex.org/W2129131372","https://openalex.org/W2130212796","https://openalex.org/W2130576091","https://openalex.org/W2141601259","https://openalex.org/W2147656689","https://openalex.org/W2149863017","https://openalex.org/W2161374719","https://openalex.org/W2164452299","https://openalex.org/W2167933592","https://openalex.org/W2296616510","https://openalex.org/W2466299320","https://openalex.org/W2611328865","https://openalex.org/W2949959192","https://openalex.org/W3102105495","https://openalex.org/W4250955649","https://openalex.org/W6605287602","https://openalex.org/W6665581113","https://openalex.org/W6677554766","https://openalex.org/W6684217156"],"related_works":["https://openalex.org/W2385886188","https://openalex.org/W2288891047","https://openalex.org/W2524928742","https://openalex.org/W2782047334","https://openalex.org/W4298234822","https://openalex.org/W3017414697","https://openalex.org/W1970576574","https://openalex.org/W2184500224","https://openalex.org/W2522507432","https://openalex.org/W605362495"],"abstract_inverted_index":{"We":[0],"describe":[1],"semidefinite":[2],"programming":[3],"methods":[4],"for":[5],"system":[6],"realization":[7],"and":[8],"identification.":[9],"For":[10],"each":[11],"of":[12,18,39,42],"these":[13],"two":[14],"applications,":[15],"a":[16,19,27,43],"variant":[17],"simple":[20],"subspace":[21],"algorithm":[22],"is":[23,31],"presented,":[24],"in":[25,52],"which":[26],"low-rank":[28,54],"matrix":[29,50],"approximation":[30],"computed":[32],"by":[33],"minimizing":[34],"the":[35,53,64],"nuclear":[36],"norm":[37],"(sum":[38],"singular":[40,65],"values)":[41],"structured":[44],"matrix.":[45],"This":[46],"technique":[47],"preserves":[48],"linear":[49],"structure":[51],"approximation,":[55],"an":[56],"important":[57],"advantage":[58],"over":[59],"standard":[60],"approaches":[61],"based":[62],"on":[63],"value":[66],"decomposition.":[67]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":4}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
