{"id":"https://openalex.org/W4391021140","doi":"https://doi.org/10.1109/cdc49753.2023.10384021","title":"Control of Bilinear Systems Using Gain-Scheduling: Stability and Performance Guarantees","display_name":"Control of Bilinear Systems Using Gain-Scheduling: Stability and Performance Guarantees","publication_year":2023,"publication_date":"2023-12-13","ids":{"openalex":"https://openalex.org/W4391021140","doi":"https://doi.org/10.1109/cdc49753.2023.10384021"},"language":"en","primary_location":{"id":"doi:10.1109/cdc49753.2023.10384021","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc49753.2023.10384021","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 62nd IEEE Conference on Decision and Control (CDC)","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/A5090569087","display_name":"Robin Str\u00e4sser","orcid":"https://orcid.org/0000-0003-4629-844X"},"institutions":[{"id":"https://openalex.org/I100066346","display_name":"University of Stuttgart","ror":"https://ror.org/04vnq7t77","country_code":"DE","type":"education","lineage":["https://openalex.org/I100066346"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Robin Str\u00e4sser","raw_affiliation_strings":["Institute for Systems Theory and Automatic Control, University of Stuttgart,Stuttgart,Germany,70550"],"affiliations":[{"raw_affiliation_string":"Institute for Systems Theory and Automatic Control, University of Stuttgart,Stuttgart,Germany,70550","institution_ids":["https://openalex.org/I100066346"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065926154","display_name":"Julian Berberich","orcid":"https://orcid.org/0000-0001-6366-6238"},"institutions":[{"id":"https://openalex.org/I100066346","display_name":"University of Stuttgart","ror":"https://ror.org/04vnq7t77","country_code":"DE","type":"education","lineage":["https://openalex.org/I100066346"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Julian Berberich","raw_affiliation_strings":["Institute for Systems Theory and Automatic Control, University of Stuttgart,Stuttgart,Germany,70550"],"affiliations":[{"raw_affiliation_string":"Institute for Systems Theory and Automatic Control, University of Stuttgart,Stuttgart,Germany,70550","institution_ids":["https://openalex.org/I100066346"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5001090900","display_name":"Frank Allg\u00f6wer","orcid":"https://orcid.org/0000-0002-3702-3658"},"institutions":[{"id":"https://openalex.org/I100066346","display_name":"University of Stuttgart","ror":"https://ror.org/04vnq7t77","country_code":"DE","type":"education","lineage":["https://openalex.org/I100066346"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Frank Allg\u00f6wer","raw_affiliation_strings":["Institute for Systems Theory and Automatic Control, University of Stuttgart,Stuttgart,Germany,70550"],"affiliations":[{"raw_affiliation_string":"Institute for Systems Theory and Automatic Control, University of Stuttgart,Stuttgart,Germany,70550","institution_ids":["https://openalex.org/I100066346"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5090569087"],"corresponding_institution_ids":["https://openalex.org/I100066346"],"apc_list":null,"apc_paid":null,"fwci":2.5719,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.89908061,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"4674","last_page":"4681"},"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":0.9998000264167786,"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":0.9998000264167786,"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":0.994700014591217,"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/T11081","display_name":"Advanced Control Systems Design","score":0.9940000176429749,"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/control-theory","display_name":"Control theory (sociology)","score":0.6711816191673279},{"id":"https://openalex.org/keywords/bilinear-interpolation","display_name":"Bilinear interpolation","score":0.666393518447876},{"id":"https://openalex.org/keywords/semidefinite-programming","display_name":"Semidefinite programming","score":0.5686872005462646},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5501219034194946},{"id":"https://openalex.org/keywords/full-state-feedback","display_name":"Full state feedback","score":0.5459718704223633},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.5439978837966919},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5414490699768066},{"id":"https://openalex.org/keywords/scheduling","display_name":"Scheduling (production processes)","score":0.5225629210472107},{"id":"https://openalex.org/keywords/linear-matrix-inequality","display_name":"Linear matrix inequality","score":0.47228533029556274},{"id":"https://openalex.org/keywords/gain-scheduling","display_name":"Gain scheduling","score":0.47019657492637634},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.45875075459480286},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.4203776717185974},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.4179069995880127},{"id":"https://openalex.org/keywords/modular-design","display_name":"Modular design","score":0.41403210163116455},{"id":"https://openalex.org/keywords/symmetric-matrix","display_name":"Symmetric matrix","score":0.41401544213294983},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.3419189155101776},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.30036407709121704},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.24640196561813354},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.2239871323108673}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6711816191673279},{"id":"https://openalex.org/C205203396","wikidata":"https://www.wikidata.org/wiki/Q612143","display_name":"Bilinear interpolation","level":2,"score":0.666393518447876},{"id":"https://openalex.org/C101901036","wikidata":"https://www.wikidata.org/wiki/Q2269096","display_name":"Semidefinite programming","level":2,"score":0.5686872005462646},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5501219034194946},{"id":"https://openalex.org/C204322392","wikidata":"https://www.wikidata.org/wiki/Q925922","display_name":"Full state feedback","level":3,"score":0.5459718704223633},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.5439978837966919},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5414490699768066},{"id":"https://openalex.org/C206729178","wikidata":"https://www.wikidata.org/wiki/Q2271896","display_name":"Scheduling (production processes)","level":2,"score":0.5225629210472107},{"id":"https://openalex.org/C201829737","wikidata":"https://www.wikidata.org/wiki/Q2022760","display_name":"Linear matrix inequality","level":2,"score":0.47228533029556274},{"id":"https://openalex.org/C97090092","wikidata":"https://www.wikidata.org/wiki/Q764612","display_name":"Gain scheduling","level":3,"score":0.47019657492637634},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.45875075459480286},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.4203776717185974},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.4179069995880127},{"id":"https://openalex.org/C101468663","wikidata":"https://www.wikidata.org/wiki/Q1620158","display_name":"Modular design","level":2,"score":0.41403210163116455},{"id":"https://openalex.org/C54848796","wikidata":"https://www.wikidata.org/wiki/Q339011","display_name":"Symmetric matrix","level":3,"score":0.41401544213294983},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.3419189155101776},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.30036407709121704},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.24640196561813354},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.2239871323108673},{"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/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc49753.2023.10384021","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc49753.2023.10384021","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 62nd IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7","score":0.4099999964237213}],"awards":[{"id":"https://openalex.org/G1804686277","display_name":null,"funder_award_id":"390740016,AL 316/15-1,468094890","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"}],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W114637152","https://openalex.org/W603367508","https://openalex.org/W1590133407","https://openalex.org/W1977281577","https://openalex.org/W1994283610","https://openalex.org/W1997054581","https://openalex.org/W2000778604","https://openalex.org/W2002558214","https://openalex.org/W2011612177","https://openalex.org/W2027300760","https://openalex.org/W2034539682","https://openalex.org/W2042106612","https://openalex.org/W2055346807","https://openalex.org/W2061596288","https://openalex.org/W2065313971","https://openalex.org/W2068209810","https://openalex.org/W2071781616","https://openalex.org/W2074187471","https://openalex.org/W2082483338","https://openalex.org/W2083436023","https://openalex.org/W2096394951","https://openalex.org/W2129568598","https://openalex.org/W2144263793","https://openalex.org/W2149804959","https://openalex.org/W2159391054","https://openalex.org/W2164904527","https://openalex.org/W2279429142","https://openalex.org/W2398873970","https://openalex.org/W2536620281","https://openalex.org/W2966565828","https://openalex.org/W3018949655","https://openalex.org/W3084915321","https://openalex.org/W3202264307","https://openalex.org/W4212783333","https://openalex.org/W4226151113","https://openalex.org/W4232861460","https://openalex.org/W4250589301","https://openalex.org/W4292072234","https://openalex.org/W4388903953","https://openalex.org/W6684557030","https://openalex.org/W6712619050"],"related_works":["https://openalex.org/W2181320377","https://openalex.org/W2102092709","https://openalex.org/W1525431020","https://openalex.org/W2575305939","https://openalex.org/W2143900412","https://openalex.org/W3047092141","https://openalex.org/W2921693184","https://openalex.org/W2047857759","https://openalex.org/W2066999562","https://openalex.org/W3196858159"],"abstract_inverted_index":{"In":[0],"this":[1,14],"paper,":[2],"we":[3,16,40,62,134],"present":[4],"a":[5,22,34,76,88,108],"state-feedback":[6],"controller":[7,52],"design":[8,81,115],"method":[9,116],"for":[10,50],"bilinear":[11,19],"systems.":[12],"To":[13],"end,":[15],"write":[17],"the":[18,28,31,51,70,95,114,129,136,144,147],"system":[20,73],"as":[21,33],"linear":[23,47,110],"fractional":[24],"representation":[25],"by":[26,58],"interpreting":[27],"state":[29,89,111],"in":[30,44,75,87,105,128],"bilinearity":[32],"structured":[35],"uncertainty.":[36],"Based":[37],"on":[38,94],"that,":[39],"derive":[41],"convex":[42],"conditions":[43],"terms":[45],"of":[46,69,146],"matrix":[48],"inequalities":[49],"design,":[53],"which":[54,97],"are":[55],"efficiently":[56],"solvable":[57],"semidefinite":[59],"programming.":[60],"Further,":[61],"prove":[63],"asymptotic":[64],"stability":[65],"and":[66,85,102,142],"quadratic":[67],"performance":[68,104],"resulting":[71],"closed-loop":[72],"locally":[74],"predefined":[77],"region.":[78],"The":[79],"proposed":[80],"uses":[82],"gain-scheduling":[83],"techniques":[84],"results":[86],"feedback":[90],"with":[91],"rational":[92],"dependence":[93],"state,":[96],"can":[98],"substantially":[99],"reduce":[100],"conservatism":[101],"improve":[103],"comparison":[106],"to":[107,120,124,139],"simpler,":[109],"feedback.":[112],"Moreover,":[113],"is":[117],"easily":[118],"adaptable":[119],"various":[121],"scenarios":[122],"due":[123],"its":[125],"modular":[126],"formulation":[127],"robust":[130],"control":[131],"framework.":[132],"Finally,":[133],"apply":[135],"developed":[137],"approaches":[138],"numerical":[140],"examples":[141],"illustrate":[143],"benefits":[145],"approach.":[148]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":9},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2}],"updated_date":"2026-03-26T15:22:09.906841","created_date":"2024-01-20T00:00:00"}