{"id":"https://openalex.org/W2563140280","doi":"https://doi.org/10.1109/cdc.2002.1184232","title":"Robust H/sub 2/ and H/sub \u221e/ filters for uncertain LFT systems","display_name":"Robust H/sub 2/ and H/sub \u221e/ filters for uncertain LFT systems","publication_year":2003,"publication_date":"2003-08-27","ids":{"openalex":"https://openalex.org/W2563140280","doi":"https://doi.org/10.1109/cdc.2002.1184232","mag":"2563140280"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2002.1184232","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2002.1184232","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 41st IEEE Conference on Decision and Control, 2002.","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/A5014934594","display_name":"Kunpeng Sun","orcid":null},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Kunpeng Sun","raw_affiliation_strings":["Department of Mechanical Engineering, University of California, Berkeley, CA, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, University of California, Berkeley, CA, USA","institution_ids":["https://openalex.org/I95457486"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5076844884","display_name":"Andrew Packard","orcid":null},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"A. Packard","raw_affiliation_strings":["Department of Mechanical Engineering, University of California, Berkeley, CA, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, University of California, Berkeley, CA, USA","institution_ids":["https://openalex.org/I95457486"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5014934594"],"corresponding_institution_ids":["https://openalex.org/I95457486"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.63799783,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"3","issue":null,"first_page":"2612","last_page":"2618"},"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":0.9994999766349792,"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":0.9994999766349792,"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9994000196456909,"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/T11236","display_name":"Control Systems and Identification","score":0.9959999918937683,"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":0.8696680068969727},{"id":"https://openalex.org/keywords/linear-fractional-transformation","display_name":"Linear fractional transformation","score":0.7970181703567505},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6908152103424072},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6662338972091675},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.6168208718299866},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.5176975727081299},{"id":"https://openalex.org/keywords/robust-control","display_name":"Robust control","score":0.5103830695152283},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.49648791551589966},{"id":"https://openalex.org/keywords/linear-matrix-inequality","display_name":"Linear matrix inequality","score":0.45621126890182495},{"id":"https://openalex.org/keywords/symmetric-matrix","display_name":"Symmetric matrix","score":0.4370279312133789},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4287642538547516},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4250068664550781},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4214690327644348},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.3986741304397583},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3982626795768738},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.22328561544418335},{"id":"https://openalex.org/keywords/control-system","display_name":"Control system","score":0.1404297947883606},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.13537108898162842},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.09839695692062378},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.08953198790550232},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.06704539060592651}],"concepts":[{"id":"https://openalex.org/C63584917","wikidata":"https://www.wikidata.org/wiki/Q333286","display_name":"Bounding overwatch","level":2,"score":0.8696680068969727},{"id":"https://openalex.org/C2777376839","wikidata":"https://www.wikidata.org/wiki/Q18354190","display_name":"Linear fractional transformation","level":4,"score":0.7970181703567505},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6908152103424072},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6662338972091675},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.6168208718299866},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.5176975727081299},{"id":"https://openalex.org/C31531917","wikidata":"https://www.wikidata.org/wiki/Q915157","display_name":"Robust control","level":3,"score":0.5103830695152283},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.49648791551589966},{"id":"https://openalex.org/C201829737","wikidata":"https://www.wikidata.org/wiki/Q2022760","display_name":"Linear matrix inequality","level":2,"score":0.45621126890182495},{"id":"https://openalex.org/C54848796","wikidata":"https://www.wikidata.org/wiki/Q339011","display_name":"Symmetric matrix","level":3,"score":0.4370279312133789},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4287642538547516},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4250068664550781},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4214690327644348},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.3986741304397583},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3982626795768738},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.22328561544418335},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.1404297947883606},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.13537108898162842},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.09839695692062378},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.08953198790550232},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.06704539060592651},{"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/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"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},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2002.1184232","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2002.1184232","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 41st IEEE Conference on Decision and Control, 2002.","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306101","display_name":"National Aeronautics and Space Administration","ror":"https://ror.org/027ka1x80"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W1488759080","https://openalex.org/W1491231144","https://openalex.org/W1572031236","https://openalex.org/W1836837847","https://openalex.org/W1979828336","https://openalex.org/W2013725302","https://openalex.org/W2031467798","https://openalex.org/W2045940545","https://openalex.org/W2053263841","https://openalex.org/W2059359811","https://openalex.org/W2059699856","https://openalex.org/W2065313971","https://openalex.org/W2096912608","https://openalex.org/W2103313140","https://openalex.org/W2103618012","https://openalex.org/W2111812602","https://openalex.org/W2112015490","https://openalex.org/W2123495415","https://openalex.org/W2130952277","https://openalex.org/W2142542010","https://openalex.org/W2149371065","https://openalex.org/W2156784761","https://openalex.org/W2162719021","https://openalex.org/W2162854795","https://openalex.org/W2341696525","https://openalex.org/W2490014319","https://openalex.org/W2563221010","https://openalex.org/W3195133498","https://openalex.org/W3210839039","https://openalex.org/W4212783333","https://openalex.org/W6722770168","https://openalex.org/W6800164818"],"related_works":["https://openalex.org/W1875060088","https://openalex.org/W2563140280","https://openalex.org/W2188312210","https://openalex.org/W2062963477","https://openalex.org/W1808520126","https://openalex.org/W2020788389","https://openalex.org/W2147442790","https://openalex.org/W2379295215","https://openalex.org/W4728229","https://openalex.org/W2045015574"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"the":[3,17,39,41,45,65,78,84,106],"robust":[4],"H/sub":[5,8],"2/":[6],"and":[7,25],"/spl":[9],"infin//":[10],"filter":[11],"design":[12],"problems":[13,42,55],"are":[14,22,48,62,87,97],"considered,":[15],"where":[16,93],"uncertainties,":[18],"unstructured":[19],"or":[20],"structured,":[21],"norm":[23,80],"bounded":[24,81],"represented":[26],"by":[27],"linear":[28,57],"fractional":[29],"transformation":[30],"(LFT).":[31],"The":[32],"main":[33],"result":[34],"is":[35,73,102],"that":[36,76],"after":[37],"upper-bounding":[38],"objectives,":[40],"of":[43,64],"minimizing":[44],"upper":[46],"bounds":[47],"converted":[49],"to":[50,104],"finite":[51],"dimensional":[52],"convex":[53],"optimization":[54],"involving":[56],"matrix":[58],"inequalities":[59],"(LMIs).":[60],"These":[61],"extensions":[63],"results":[66,85],"for":[67,77],"systems":[68],"with":[69],"polytopic":[70],"uncertainty.":[71],"It":[72],"also":[74],"shown":[75],"unstructured,":[79],"uncertainty":[82],"case,":[83],"here":[86],"less":[88],"conservative":[89],"than":[90],"former":[91],"results,":[92],"Riccati":[94],"equation":[95],"approach":[96],"used.":[98],"A":[99],"numerical":[100],"example":[101],"given":[103],"illustrate":[105],"results.":[107]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
