{"id":"https://openalex.org/W1595790869","doi":"https://doi.org/10.1109/acc.2015.7170952","title":"Stability and L<inf>2</inf> performance analysis of LPV-IO systems using parameter-dependent lyapunov functions","display_name":"Stability and L<inf>2</inf> performance analysis of LPV-IO systems using parameter-dependent lyapunov functions","publication_year":2015,"publication_date":"2015-07-01","ids":{"openalex":"https://openalex.org/W1595790869","doi":"https://doi.org/10.1109/acc.2015.7170952","mag":"1595790869"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2015.7170952","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2015.7170952","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/A5023379373","display_name":"Simon Wollnack","orcid":null},"institutions":[{"id":"https://openalex.org/I159176309","display_name":"Universit\u00e4t Hamburg","ror":"https://ror.org/00g30e956","country_code":"DE","type":"education","lineage":["https://openalex.org/I159176309"]},{"id":"https://openalex.org/I884043246","display_name":"Hamburg University of Technology","ror":"https://ror.org/04bs1pb34","country_code":"DE","type":"education","lineage":["https://openalex.org/I884043246"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Simon Wollnack","raw_affiliation_strings":["Institute of Control Systems, Hamburg University of Technology, Hamburg, Germany","[Institute of Control Systems, Hamburg University of Technology, Eissendorfer Str. 40, 21073, Germany]"],"affiliations":[{"raw_affiliation_string":"Institute of Control Systems, Hamburg University of Technology, Hamburg, Germany","institution_ids":["https://openalex.org/I159176309","https://openalex.org/I884043246"]},{"raw_affiliation_string":"[Institute of Control Systems, Hamburg University of Technology, Eissendorfer Str. 40, 21073, Germany]","institution_ids":["https://openalex.org/I159176309","https://openalex.org/I884043246"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5022335223","display_name":"Herbert Werner","orcid":"https://orcid.org/0000-0003-3456-5539"},"institutions":[{"id":"https://openalex.org/I159176309","display_name":"Universit\u00e4t Hamburg","ror":"https://ror.org/00g30e956","country_code":"DE","type":"education","lineage":["https://openalex.org/I159176309"]},{"id":"https://openalex.org/I884043246","display_name":"Hamburg University of Technology","ror":"https://ror.org/04bs1pb34","country_code":"DE","type":"education","lineage":["https://openalex.org/I884043246"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Herbert Werner","raw_affiliation_strings":["Institute of Control Systems, Hamburg University of Technology, Hamburg, Germany","[Institute of Control Systems, Hamburg University of Technology, Eissendorfer Str. 40, 21073, Germany]"],"affiliations":[{"raw_affiliation_string":"Institute of Control Systems, Hamburg University of Technology, Hamburg, Germany","institution_ids":["https://openalex.org/I159176309","https://openalex.org/I884043246"]},{"raw_affiliation_string":"[Institute of Control Systems, Hamburg University of Technology, Eissendorfer Str. 40, 21073, Germany]","institution_ids":["https://openalex.org/I159176309","https://openalex.org/I884043246"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5023379373"],"corresponding_institution_ids":["https://openalex.org/I159176309","https://openalex.org/I884043246"],"apc_list":null,"apc_paid":null,"fwci":0.3366,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.62758445,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"268","issue":null,"first_page":"1543","last_page":"1548"},"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/T11236","display_name":"Control Systems and Identification","score":0.9994000196456909,"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":0.9987999796867371,"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":0.5615701079368591},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5597128868103027},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.5254504084587097},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5097010135650635},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.47429898381233215},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.47071048617362976},{"id":"https://openalex.org/keywords/linear-matrix-inequality","display_name":"Linear matrix inequality","score":0.4611876606941223},{"id":"https://openalex.org/keywords/stability-conditions","display_name":"Stability conditions","score":0.46002545952796936},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.415553480386734},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.3495594263076782},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.32147416472435},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.1727842092514038},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10208085179328918},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.06011500954627991}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5615701079368591},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5597128868103027},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5254504084587097},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5097010135650635},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.47429898381233215},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.47071048617362976},{"id":"https://openalex.org/C201829737","wikidata":"https://www.wikidata.org/wiki/Q2022760","display_name":"Linear matrix inequality","level":2,"score":0.4611876606941223},{"id":"https://openalex.org/C143170015","wikidata":"https://www.wikidata.org/wiki/Q17007850","display_name":"Stability conditions","level":3,"score":0.46002545952796936},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.415553480386734},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.3495594263076782},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.32147416472435},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.1727842092514038},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10208085179328918},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.06011500954627991},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"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/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"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/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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/acc.2015.7170952","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2015.7170952","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W588877302","https://openalex.org/W608268716","https://openalex.org/W628904001","https://openalex.org/W1766451190","https://openalex.org/W2020038588","https://openalex.org/W2023055167","https://openalex.org/W2030411191","https://openalex.org/W2031711324","https://openalex.org/W2038730444","https://openalex.org/W2048624431","https://openalex.org/W2059626897","https://openalex.org/W2082483338","https://openalex.org/W2103313140","https://openalex.org/W2133974727","https://openalex.org/W2134171990","https://openalex.org/W2147280716","https://openalex.org/W2160269310","https://openalex.org/W2563662673","https://openalex.org/W4234963540","https://openalex.org/W6671144979"],"related_works":["https://openalex.org/W2610480937","https://openalex.org/W2354218031","https://openalex.org/W3091119762","https://openalex.org/W2094512427","https://openalex.org/W1979000419","https://openalex.org/W2605646614","https://openalex.org/W2133961832","https://openalex.org/W2059184849","https://openalex.org/W1786061187","https://openalex.org/W2506486174"],"abstract_inverted_index":{"Stability":[0],"and":[1],"performance":[2],"analysis":[3,68],"for":[4],"linear":[5,21,45],"parameter-varying":[6],"systems":[7],"with":[8],"rational":[9,56],"parameter":[10,36],"dependence":[11],"in":[12],"input-output":[13,51],"form":[14],"is":[15],"considered.":[16],"Extending":[17],"previous":[18],"results,":[19],"novel":[20],"matrix":[22],"inequality":[23],"conditions":[24],"are":[25,40],"presented":[26],"that":[27],"permit":[28],"to":[29,48],"reduce":[30],"conservatism":[31],"while":[32],"completely":[33],"avoiding":[34],"dynamic":[35],"dependence.":[37],"The":[38],"results":[39],"derived":[41],"by":[42,54],"using":[43],"implicit":[44],"fractional":[46],"representations":[47],"describe":[49],"the":[50,63,66],"behavior":[52],"given":[53],"a":[55],"parameter-dependent":[57],"kernel":[58],"representation.":[59],"Two":[60],"examples":[61],"demonstrate":[62],"merits":[64],"of":[65],"proposed":[67],"conditions.":[69]},"counts_by_year":[{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}