{"id":"https://openalex.org/W1532855850","doi":"https://doi.org/10.1109/acc.2015.7170720","title":"Robust stabilization of linear continuous-time parameter-varying systems without quadratic stability","display_name":"Robust stabilization of linear continuous-time parameter-varying systems without quadratic stability","publication_year":2015,"publication_date":"2015-07-01","ids":{"openalex":"https://openalex.org/W1532855850","doi":"https://doi.org/10.1109/acc.2015.7170720","mag":"1532855850"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2015.7170720","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2015.7170720","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 American Control Conference (ACC)","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/A5016266086","display_name":"Martin A. Sehr","orcid":"https://orcid.org/0000-0002-6785-169X"},"institutions":[{"id":"https://openalex.org/I36258959","display_name":"University of California, San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Martin A. Sehr","raw_affiliation_strings":["Department of Mechanical and Aerospace Engineering, University of California San Diego, La Jolla, CA","Department of Mechanical and Aerospace Engineering, University of California, San Diego, La Jolla, 92093-0411 USA#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical and Aerospace Engineering, University of California San Diego, La Jolla, CA","institution_ids":["https://openalex.org/I36258959"]},{"raw_affiliation_string":"Department of Mechanical and Aerospace Engineering, University of California, San Diego, La Jolla, 92093-0411 USA#TAB#","institution_ids":["https://openalex.org/I36258959"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001802446","display_name":"Amit Pandey","orcid":"https://orcid.org/0000-0003-2314-7876"},"institutions":[{"id":"https://openalex.org/I36258959","display_name":"University of California, San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Amit P. Pandey","raw_affiliation_strings":["Department of Mechanical and Aerospace Engineering, University of California San Diego, La Jolla, CA","Department of Mechanical and Aerospace Engineering, University of California, San Diego, La Jolla, 92093-0411 USA#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical and Aerospace Engineering, University of California San Diego, La Jolla, CA","institution_ids":["https://openalex.org/I36258959"]},{"raw_affiliation_string":"Department of Mechanical and Aerospace Engineering, University of California, San Diego, La Jolla, 92093-0411 USA#TAB#","institution_ids":["https://openalex.org/I36258959"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5019155460","display_name":"Maur\u0131\u0301cio C. de Oliveira","orcid":"https://orcid.org/0000-0002-1482-2123"},"institutions":[{"id":"https://openalex.org/I36258959","display_name":"University of California, San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mauricio C. de Oliveira","raw_affiliation_strings":["Department of Mechanical and Aerospace Engineering, University of California San Diego, La Jolla, CA","Department of Mechanical and Aerospace Engineering, University of California, San Diego, La Jolla, 92093-0411 USA#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical and Aerospace Engineering, University of California San Diego, La Jolla, CA","institution_ids":["https://openalex.org/I36258959"]},{"raw_affiliation_string":"Department of Mechanical and Aerospace Engineering, University of California, San Diego, La Jolla, 92093-0411 USA#TAB#","institution_ids":["https://openalex.org/I36258959"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5016266086"],"corresponding_institution_ids":["https://openalex.org/I36258959"],"apc_list":null,"apc_paid":null,"fwci":0.3366,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.62155543,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"48","issue":null,"first_page":"108","last_page":"113"},"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":0.9998999834060669,"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":0.9998999834060669,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9991000294685364,"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":0.9987999796867371,"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":0.7502996921539307},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.6253201365470886},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5757769346237183},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.5576815605163574},{"id":"https://openalex.org/keywords/robust-control","display_name":"Robust control","score":0.5512962937355042},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.550408661365509},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.5491162538528442},{"id":"https://openalex.org/keywords/linear-matrix-inequality","display_name":"Linear matrix inequality","score":0.5194393992424011},{"id":"https://openalex.org/keywords/lyapunov-equation","display_name":"Lyapunov equation","score":0.43679729104042053},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3479970097541809},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.32121604681015015},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.31520116329193115},{"id":"https://openalex.org/keywords/control-system","display_name":"Control system","score":0.25029224157333374},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.14310264587402344},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.1251572072505951},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.10656633973121643},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10648459196090698},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.054965049028396606}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7502996921539307},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.6253201365470886},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5757769346237183},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.5576815605163574},{"id":"https://openalex.org/C31531917","wikidata":"https://www.wikidata.org/wiki/Q915157","display_name":"Robust control","level":3,"score":0.5512962937355042},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.550408661365509},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.5491162538528442},{"id":"https://openalex.org/C201829737","wikidata":"https://www.wikidata.org/wiki/Q2022760","display_name":"Linear matrix inequality","level":2,"score":0.5194393992424011},{"id":"https://openalex.org/C25854792","wikidata":"https://www.wikidata.org/wiki/Q1028945","display_name":"Lyapunov equation","level":4,"score":0.43679729104042053},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3479970097541809},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.32121604681015015},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.31520116329193115},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.25029224157333374},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.14310264587402344},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.1251572072505951},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.10656633973121643},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10648459196090698},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.054965049028396606},{"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/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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/acc.2015.7170720","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2015.7170720","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 American Control Conference (ACC)","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":18,"referenced_works":["https://openalex.org/W1480919729","https://openalex.org/W1552094772","https://openalex.org/W1592648094","https://openalex.org/W2028458332","https://openalex.org/W2042682633","https://openalex.org/W2042741865","https://openalex.org/W2057541071","https://openalex.org/W2104575444","https://openalex.org/W2116676017","https://openalex.org/W2141173298","https://openalex.org/W2147439098","https://openalex.org/W2149592887","https://openalex.org/W2167094764","https://openalex.org/W2565285028","https://openalex.org/W3210839039","https://openalex.org/W4249667877","https://openalex.org/W4293078920","https://openalex.org/W6681554659"],"related_works":["https://openalex.org/W2349796700","https://openalex.org/W2383986032","https://openalex.org/W2030955003","https://openalex.org/W2374426356","https://openalex.org/W2059628530","https://openalex.org/W2164487476","https://openalex.org/W3194517843","https://openalex.org/W1977987201","https://openalex.org/W2106169668","https://openalex.org/W2534107666"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3],"show":[4],"how":[5],"to":[6],"design":[7],"robust":[8],"and":[9],"gain-scheduled":[10],"controllers":[11],"for":[12],"linear":[13],"continuous-time":[14],"parameter-varying":[15],"systems":[16],"without":[17],"quadratic":[18,27],"stability.":[19],"Parameter-independent":[20],"Lyapunov":[21],"functions":[22],"are":[23,43],"constructed,":[24],"of":[25,37,50],"which":[26,42],"stability":[28],"is":[29],"a":[30,48],"particular":[31],"case.":[32],"Examples":[33],"illustrate":[34],"the":[35,38],"application":[36],"resulting":[39],"stabilization":[40],"conditions,":[41],"Linear":[44],"Matrix":[45],"Inequalities":[46],"with":[47],"set":[49],"tuning":[51],"parameters.":[52]},"counts_by_year":[{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}