{"id":"https://openalex.org/W2133497585","doi":"https://doi.org/10.1109/fuzzy.2008.4630356","title":"LMI relaxations for nonlinear fuzzy control systems via homogeneous polynomials","display_name":"LMI relaxations for nonlinear fuzzy control systems via homogeneous polynomials","publication_year":2008,"publication_date":"2008-06-01","ids":{"openalex":"https://openalex.org/W2133497585","doi":"https://doi.org/10.1109/fuzzy.2008.4630356","mag":"2133497585"},"language":"en","primary_location":{"id":"doi:10.1109/fuzzy.2008.4630356","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzzy.2008.4630356","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 IEEE International Conference on Fuzzy Systems (IEEE World Congress on Computational Intelligence)","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/A5109237037","display_name":"Jia-Ren Wan","orcid":null},"institutions":[{"id":"https://openalex.org/I22265921","display_name":"National Central University","ror":"https://ror.org/00944ve71","country_code":"TW","type":"education","lineage":["https://openalex.org/I22265921"]}],"countries":["TW"],"is_corresponding":true,"raw_author_name":"Jia-Ren Wan","raw_affiliation_strings":["Mechanical Engineering, National Central University, Jhong Li, Taiwan","Dept. of Mech. Eng., Nat. Central Univ., Jhongli"],"affiliations":[{"raw_affiliation_string":"Mechanical Engineering, National Central University, Jhong Li, Taiwan","institution_ids":["https://openalex.org/I22265921"]},{"raw_affiliation_string":"Dept. of Mech. Eng., Nat. Central Univ., Jhongli","institution_ids":["https://openalex.org/I22265921"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5046513473","display_name":"Ji\u2010Chang Lo","orcid":"https://orcid.org/0000-0002-4742-1262"},"institutions":[{"id":"https://openalex.org/I22265921","display_name":"National Central University","ror":"https://ror.org/00944ve71","country_code":"TW","type":"education","lineage":["https://openalex.org/I22265921"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Ji-Chang Lo","raw_affiliation_strings":["Mechanical Engineering, National Central University, Jhong Li, Taiwan","Dept. of Mech. Eng., Nat. Central Univ., Jhongli"],"affiliations":[{"raw_affiliation_string":"Mechanical Engineering, National Central University, Jhong Li, Taiwan","institution_ids":["https://openalex.org/I22265921"]},{"raw_affiliation_string":"Dept. of Mech. Eng., Nat. Central Univ., Jhongli","institution_ids":["https://openalex.org/I22265921"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5109237037"],"corresponding_institution_ids":["https://openalex.org/I22265921"],"apc_list":null,"apc_paid":null,"fwci":5.7575,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.95731543,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"4","issue":null,"first_page":"134","last_page":"140"},"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/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.991100013256073,"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/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9898999929428101,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/parameterized-complexity","display_name":"Parameterized complexity","score":0.8700553178787231},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6311994194984436},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5488964319229126},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5448300242424011},{"id":"https://openalex.org/keywords/homogeneous","display_name":"Homogeneous","score":0.5113624930381775},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5045243501663208},{"id":"https://openalex.org/keywords/simplex","display_name":"Simplex","score":0.49723151326179504},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.4961300790309906},{"id":"https://openalex.org/keywords/homogeneous-polynomial","display_name":"Homogeneous polynomial","score":0.4804120361804962},{"id":"https://openalex.org/keywords/fuzzy-control-system","display_name":"Fuzzy control system","score":0.4668247103691101},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.45444899797439575},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.45019131898880005},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4457314610481262},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.42274409532546997},{"id":"https://openalex.org/keywords/robust-control","display_name":"Robust control","score":0.42199769616127014},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4193216562271118},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.25625306367874146},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.24627214670181274},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.21376866102218628},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.19629395008087158},{"id":"https://openalex.org/keywords/matrix-polynomial","display_name":"Matrix polynomial","score":0.1172742247581482},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08760029077529907}],"concepts":[{"id":"https://openalex.org/C165464430","wikidata":"https://www.wikidata.org/wiki/Q1570441","display_name":"Parameterized complexity","level":2,"score":0.8700553178787231},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6311994194984436},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5488964319229126},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5448300242424011},{"id":"https://openalex.org/C66882249","wikidata":"https://www.wikidata.org/wiki/Q169336","display_name":"Homogeneous","level":2,"score":0.5113624930381775},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5045243501663208},{"id":"https://openalex.org/C62438384","wikidata":"https://www.wikidata.org/wiki/Q331350","display_name":"Simplex","level":2,"score":0.49723151326179504},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.4961300790309906},{"id":"https://openalex.org/C17103678","wikidata":"https://www.wikidata.org/wiki/Q1474074","display_name":"Homogeneous polynomial","level":4,"score":0.4804120361804962},{"id":"https://openalex.org/C195975749","wikidata":"https://www.wikidata.org/wiki/Q1475705","display_name":"Fuzzy control system","level":3,"score":0.4668247103691101},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.45444899797439575},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.45019131898880005},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4457314610481262},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.42274409532546997},{"id":"https://openalex.org/C31531917","wikidata":"https://www.wikidata.org/wiki/Q915157","display_name":"Robust control","level":3,"score":0.42199769616127014},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4193216562271118},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.25625306367874146},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.24627214670181274},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.21376866102218628},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.19629395008087158},{"id":"https://openalex.org/C101044782","wikidata":"https://www.wikidata.org/wiki/Q6787887","display_name":"Matrix polynomial","level":3,"score":0.1172742247581482},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08760029077529907},{"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/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},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/fuzzy.2008.4630356","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzzy.2008.4630356","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 IEEE International Conference on Fuzzy Systems (IEEE World Congress on Computational Intelligence)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","score":0.7300000190734863,"id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W1510134586","https://openalex.org/W1971443429","https://openalex.org/W1974392705","https://openalex.org/W1989555277","https://openalex.org/W2034201789","https://openalex.org/W2042421848","https://openalex.org/W2047577886","https://openalex.org/W2057000602","https://openalex.org/W2065548314","https://openalex.org/W2068052921","https://openalex.org/W2105940726","https://openalex.org/W2107520321","https://openalex.org/W2107577395","https://openalex.org/W2113138016","https://openalex.org/W2117123735","https://openalex.org/W2119016475","https://openalex.org/W2122364913","https://openalex.org/W2129492921","https://openalex.org/W2129616157","https://openalex.org/W2139133559","https://openalex.org/W2143142281","https://openalex.org/W2143502897","https://openalex.org/W2154692645","https://openalex.org/W2162722561","https://openalex.org/W2163300739","https://openalex.org/W2167219213"],"related_works":["https://openalex.org/W2051058708","https://openalex.org/W1494268238","https://openalex.org/W154868527","https://openalex.org/W1983207144","https://openalex.org/W2490706771","https://openalex.org/W2480116122","https://openalex.org/W4255576661","https://openalex.org/W1516574938","https://openalex.org/W2625725254","https://openalex.org/W2563912921"],"abstract_inverted_index":{"Based":[0],"on":[1,4],"recent":[2],"results":[3],"homogeneous":[5],"polynomially":[6],"parameter-dependent":[7,11,32],"(HPPD)":[8],"solutions":[9],"to":[10,41,52,98,108],"LMIs":[12,33,71],"(PD-LMIs)":[13,34],"that":[14,67],"arise":[15],"from":[16],"robust":[17],"stability":[18],"of":[19,37,49,56,63,69,76],"linear":[20],"parameter":[21],"varying":[22],"(LPV)":[23],"systems,":[24],"we":[25],"investigate":[26],"the":[27,42,46,77,110],"relaxed":[28,70],"conditions":[29,91],"characterized":[30],"by":[31,102],"in":[35,74],"terms":[36],"firing":[38],"strength":[39],"belonging":[40],"unit":[43],"simplex,":[44],"exploiting":[45],"algebraic":[47],"property":[48],"Polyapsilas":[50],"theorem":[51],"construct":[53],"a":[54],"family":[55],"finite-dimensional":[57],"LMI":[58,90],"relaxations.":[59],"The":[60],"main":[61],"contribution":[62],"this":[64],"paper":[65],"is":[66,112],"sets":[68],"are":[72,92],"parameterized":[73],"term":[75],"polynomial":[78],"degree":[79],"<i":[80],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[81],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">d</i>":[82],".":[83],"As":[84],"d":[85],"increases,":[86],"progressively":[87],"less":[88],"conservative":[89],"generated,":[93],"being":[94],"easier":[95],"satisfied":[96],"due":[97],"more":[99],"freedom":[100],"provided":[101],"new":[103],"variables":[104],"involved.":[105],"An":[106],"example":[107],"illustrate":[109],"relaxation":[111],"provided.":[113]},"counts_by_year":[{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
