{"id":"https://openalex.org/W2156397749","doi":"https://doi.org/10.1109/cdc.2009.5400171","title":"On the use of the generalized structured singular value for decentralized control problems","display_name":"On the use of the generalized structured singular value for decentralized control problems","publication_year":2009,"publication_date":"2009-12-01","ids":{"openalex":"https://openalex.org/W2156397749","doi":"https://doi.org/10.1109/cdc.2009.5400171","mag":"2156397749"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2009.5400171","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2009.5400171","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/A5082230661","display_name":"Takashi Tanaka","orcid":"https://orcid.org/0000-0001-7424-0064"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Takashi Tanaka","raw_affiliation_strings":["Department of AeroSpace Engineering, 306 Talbot Laboratory, MC-236, University of Illinois, Urbana-Champaign, Urbana-Champaign, IL, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of AeroSpace Engineering, 306 Talbot Laboratory, MC-236, University of Illinois, Urbana-Champaign, Urbana-Champaign, IL, USA","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5053297501","display_name":"C\u00e9dric Langbort","orcid":null},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Cedric Langbort","raw_affiliation_strings":["Department of AeroSpace Engineering, 306 Talbot Laboratory, MC-236, University of Illinois, Urbana-Champaign, Urbana-Champaign, IL, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of AeroSpace Engineering, 306 Talbot Laboratory, MC-236, University of Illinois, Urbana-Champaign, Urbana-Champaign, IL, USA","institution_ids":["https://openalex.org/I157725225"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I157725225"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.26751262,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1632","last_page":"1637"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11233","display_name":"Advanced Adaptive Filtering Techniques","score":0.9980000257492065,"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/T11233","display_name":"Advanced Adaptive Filtering Techniques","score":0.9980000257492065,"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/T10822","display_name":"Acoustic Wave Phenomena Research","score":0.9919000267982483,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical 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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9908999800682068,"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/singular-value","display_name":"Singular value","score":0.7730984687805176},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.7368950843811035},{"id":"https://openalex.org/keywords/transfer-function","display_name":"Transfer function","score":0.6621018648147583},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.60860675573349},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.5598045587539673},{"id":"https://openalex.org/keywords/decentralised-system","display_name":"Decentralised system","score":0.5032698512077332},{"id":"https://openalex.org/keywords/frequency-domain","display_name":"Frequency domain","score":0.4954577684402466},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4940045475959778},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4560201168060303},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.4473848342895508},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.4393251836299896},{"id":"https://openalex.org/keywords/bellman-equation","display_name":"Bellman equation","score":0.4365385174751282},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.4315715432167053},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.38325825333595276},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.34998542070388794},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.15409433841705322},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.11525237560272217},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.071584552526474},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.06885182857513428}],"concepts":[{"id":"https://openalex.org/C109282560","wikidata":"https://www.wikidata.org/wiki/Q4166054","display_name":"Singular value","level":3,"score":0.7730984687805176},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7368950843811035},{"id":"https://openalex.org/C81299745","wikidata":"https://www.wikidata.org/wiki/Q334269","display_name":"Transfer function","level":2,"score":0.6621018648147583},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.60860675573349},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.5598045587539673},{"id":"https://openalex.org/C205875254","wikidata":"https://www.wikidata.org/wiki/Q17156857","display_name":"Decentralised system","level":3,"score":0.5032698512077332},{"id":"https://openalex.org/C19118579","wikidata":"https://www.wikidata.org/wiki/Q786423","display_name":"Frequency domain","level":2,"score":0.4954577684402466},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4940045475959778},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4560201168060303},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.4473848342895508},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.4393251836299896},{"id":"https://openalex.org/C14646407","wikidata":"https://www.wikidata.org/wiki/Q1430750","display_name":"Bellman equation","level":2,"score":0.4365385174751282},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.4315715432167053},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.38325825333595276},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.34998542070388794},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.15409433841705322},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11525237560272217},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.071584552526474},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.06885182857513428},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","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},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2009.5400171","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2009.5400171","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":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.7099999785423279}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W1868559974","https://openalex.org/W1991287976","https://openalex.org/W1992737774","https://openalex.org/W2005549029","https://openalex.org/W2065313971","https://openalex.org/W2077418568","https://openalex.org/W2108489060","https://openalex.org/W2151176595","https://openalex.org/W2165894964","https://openalex.org/W2492791808","https://openalex.org/W3195133498","https://openalex.org/W6800164818"],"related_works":["https://openalex.org/W1859185863","https://openalex.org/W4307691181","https://openalex.org/W4285537323","https://openalex.org/W2964126589","https://openalex.org/W1932159282","https://openalex.org/W3016225735","https://openalex.org/W1518875602","https://openalex.org/W2017412075","https://openalex.org/W2116748936","https://openalex.org/W2767258356"],"abstract_inverted_index":{"We":[0,60],"study":[1],"how":[2],"the":[3,11,15,26,46,53],"maximum/minimum":[4,12],"gain":[5,13],"of":[6,14,45,55],"a":[7],"decentralized":[8,32],"controller":[9],"influences":[10],"corresponding":[16],"closed":[17],"loop":[18],"transfer":[19],"function,":[20],"and":[21,50],"provide":[22],"lower":[23],"bounds":[24,40],"on":[25],"best":[27],"closed-loop":[28],"performance":[29],"achievable":[30],"by":[31,52,62],"controllers":[33],"satisfying":[34],"additional":[35],"frequency":[36],"domain":[37],"restrictions.":[38],"These":[39],"are":[41],"obtained":[42],"using":[43],"generalizations":[44],"structured":[47],"singular":[48],"value":[49],"approximated":[51],"solution":[54],"Linear":[56],"Matrix":[57],"Inequalities":[58],"(LMI).":[59],"close":[61],"applying":[63],"our":[64],"results":[65],"to":[66],"an":[67],"active":[68],"sound":[69],"control":[70],"problem.":[71]},"counts_by_year":[],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}
