{"id":"https://openalex.org/W2068557448","doi":"https://doi.org/10.1109/cacsd.2010.5612655","title":"LMI conditions for robust stability against parametric uncertainty: A behavioral approach","display_name":"LMI conditions for robust stability against parametric uncertainty: A behavioral approach","publication_year":2010,"publication_date":"2010-09-01","ids":{"openalex":"https://openalex.org/W2068557448","doi":"https://doi.org/10.1109/cacsd.2010.5612655","mag":"2068557448"},"language":"en","primary_location":{"id":"doi:10.1109/cacsd.2010.5612655","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cacsd.2010.5612655","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 IEEE International Symposium on Computer-Aided Control System Design","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/A5103068482","display_name":"Kiyotsugu Takaba","orcid":"https://orcid.org/0000-0002-1272-9486"},"institutions":[{"id":"https://openalex.org/I22299242","display_name":"Kyoto University","ror":"https://ror.org/02kpeqv85","country_code":"JP","type":"education","lineage":["https://openalex.org/I22299242"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Kiyotsugu Takaba","raw_affiliation_strings":["Department of Applied Mathematics and Physics, Graduate School of Informatics, Kyoto University, Kyoto, Japan","Department of Applied Mathematics and Physics, Graduate School of Informatics, Kyoto University, 606-8501, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics and Physics, Graduate School of Informatics, Kyoto University, Kyoto, Japan","institution_ids":["https://openalex.org/I22299242"]},{"raw_affiliation_string":"Department of Applied Mathematics and Physics, Graduate School of Informatics, Kyoto University, 606-8501, Japan","institution_ids":["https://openalex.org/I22299242"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5103068482"],"corresponding_institution_ids":["https://openalex.org/I22299242"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.26401938,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"755","last_page":"760"},"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":1.0,"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":1.0,"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/T11236","display_name":"Control Systems and Identification","score":0.9987000226974487,"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/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9972000122070312,"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/parametric-statistics","display_name":"Parametric statistics","score":0.7658217549324036},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6915640830993652},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.6914851665496826},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.690310001373291},{"id":"https://openalex.org/keywords/robust-control","display_name":"Robust control","score":0.623382031917572},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5832545757293701},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.5165678262710571},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.47824135422706604},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.46360504627227783},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.4245024025440216},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.40750402212142944},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3206091523170471},{"id":"https://openalex.org/keywords/control-system","display_name":"Control system","score":0.22898554801940918},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.1523837149143219},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.15166521072387695},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.13697844743728638},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10146951675415039},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.06553468108177185},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.06154331564903259}],"concepts":[{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.7658217549324036},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6915640830993652},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.6914851665496826},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.690310001373291},{"id":"https://openalex.org/C31531917","wikidata":"https://www.wikidata.org/wiki/Q915157","display_name":"Robust control","level":3,"score":0.623382031917572},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5832545757293701},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5165678262710571},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.47824135422706604},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.46360504627227783},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.4245024025440216},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.40750402212142944},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3206091523170471},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.22898554801940918},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.1523837149143219},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.15166521072387695},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.13697844743728638},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10146951675415039},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.06553468108177185},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.06154331564903259},{"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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"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/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},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cacsd.2010.5612655","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cacsd.2010.5612655","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 IEEE International Symposium on Computer-Aided Control System Design","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":19,"referenced_works":["https://openalex.org/W1927395284","https://openalex.org/W1966715837","https://openalex.org/W2011525676","https://openalex.org/W2032173185","https://openalex.org/W2038748832","https://openalex.org/W2051114549","https://openalex.org/W2105138647","https://openalex.org/W2110331379","https://openalex.org/W2148443868","https://openalex.org/W2155657698","https://openalex.org/W2161507975","https://openalex.org/W2163386904","https://openalex.org/W2164334325","https://openalex.org/W2165866062","https://openalex.org/W2173680637","https://openalex.org/W2177207193","https://openalex.org/W2544226738","https://openalex.org/W3210839039","https://openalex.org/W6653252815"],"related_works":["https://openalex.org/W4292026839","https://openalex.org/W4327639156","https://openalex.org/W4283708569","https://openalex.org/W3153752017","https://openalex.org/W2069356790","https://openalex.org/W4296154543","https://openalex.org/W2001785873","https://openalex.org/W4312717466","https://openalex.org/W4236098954","https://openalex.org/W1542318010"],"abstract_inverted_index":{"This":[0],"paper":[1],"is":[2,68],"concerned":[3],"with":[4],"robust":[5,52],"stability":[6,53],"analysis":[7],"against":[8,58],"parametric":[9,59],"uncertainty":[10,60],"from":[11],"the":[12,16,30,63,66,71,75,83,97],"behavioral":[13,17],"viewpoint.":[14],"In":[15,40],"systems":[18],"theory,":[19],"quadratic":[20],"differential":[21],"forms":[22],"(QDF's)":[23],"have":[24],"been":[25],"playing":[26],"important":[27],"roles":[28],"in":[29,62],"studies":[31],"of":[32,54,85],"Lyapunov":[33,88],"stability,":[34],"dissipativity,":[35],"LQ":[36],"optimal":[37],"control,":[38],"etc.":[39],"this":[41],"paper,":[42],"we":[43],"utilize":[44],"QDF's":[45],"to":[46],"derive":[47],"new":[48],"LMI":[49,80],"conditions":[50,81],"for":[51],"a":[55,86],"linear":[56],"system":[57,67],"both":[61],"case":[64],"where":[65],"described":[69],"by":[70,103],"kernel":[72],"representation":[73],"and":[74],"state":[76],"equation.":[77],"The":[78],"present":[79],"guarantee":[82],"existence":[84],"parameter-dependent":[87],"function":[89],"which":[90],"allows":[91],"less":[92],"conservative":[93],"robustness":[94],"analysis,":[95],"while":[96],"condition":[98],"can":[99],"be":[100],"easily":[101],"checked":[102],"convex":[104],"optimization.":[105]},"counts_by_year":[{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}
