{"id":"https://openalex.org/W1500437724","doi":"https://doi.org/10.23919/ecc.2001.7076546","title":"Non quadratic stability of nonlinear systems in the Takagi-Sugeno form","display_name":"Non quadratic stability of nonlinear systems in the Takagi-Sugeno form","publication_year":2001,"publication_date":"2001-09-01","ids":{"openalex":"https://openalex.org/W1500437724","doi":"https://doi.org/10.23919/ecc.2001.7076546","mag":"1500437724"},"language":"en","primary_location":{"id":"doi:10.23919/ecc.2001.7076546","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc.2001.7076546","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2001 European Control Conference (ECC)","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/A5007855275","display_name":"Y. Blanco","orcid":null},"institutions":[{"id":"https://openalex.org/I7454413","display_name":"\u00c9cole Centrale de Lille","ror":"https://ror.org/01x441g73","country_code":"FR","type":"education","lineage":["https://openalex.org/I7454413"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Y. Blanco","raw_affiliation_strings":["Ecole Centrale de Lille, Villeneuve d'Ascq, Hauts-de-France, FR","LAIL UPRESA 8021 CNRS - Ecole Centrale de Lille, BP 48, Cit\u00e9 Scientifique, 59 651 Villeneuve d\u2019Ascq, Cedex FRANCE"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Ecole Centrale de Lille, Villeneuve d'Ascq, Hauts-de-France, FR","institution_ids":["https://openalex.org/I7454413"]},{"raw_affiliation_string":"LAIL UPRESA 8021 CNRS - Ecole Centrale de Lille, BP 48, Cit\u00e9 Scientifique, 59 651 Villeneuve d\u2019Ascq, Cedex FRANCE","institution_ids":["https://openalex.org/I7454413"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050319144","display_name":"Wilfrid Perruquetti","orcid":"https://orcid.org/0000-0001-5323-4896"},"institutions":[{"id":"https://openalex.org/I7454413","display_name":"\u00c9cole Centrale de Lille","ror":"https://ror.org/01x441g73","country_code":"FR","type":"education","lineage":["https://openalex.org/I7454413"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"W. Perruquetti","raw_affiliation_strings":["Ecole Centrale de Lille, Villeneuve d'Ascq, Hauts-de-France, FR","LAIL UPRESA 8021 CNRS - Ecole Centrale de Lille, BP 48, Cit\u00e9 Scientifique, 59 651 Villeneuve d\u2019Ascq, Cedex FRANCE"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Ecole Centrale de Lille, Villeneuve d'Ascq, Hauts-de-France, FR","institution_ids":["https://openalex.org/I7454413"]},{"raw_affiliation_string":"LAIL UPRESA 8021 CNRS - Ecole Centrale de Lille, BP 48, Cit\u00e9 Scientifique, 59 651 Villeneuve d\u2019Ascq, Cedex FRANCE","institution_ids":["https://openalex.org/I7454413"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110017758","display_name":"Pierre Borne","orcid":null},"institutions":[{"id":"https://openalex.org/I7454413","display_name":"\u00c9cole Centrale de Lille","ror":"https://ror.org/01x441g73","country_code":"FR","type":"education","lineage":["https://openalex.org/I7454413"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"P. Borne","raw_affiliation_strings":["Ecole Centrale de Lille, Villeneuve d'Ascq, Hauts-de-France, FR","LAIL UPRESA 8021 CNRS - Ecole Centrale de Lille, BP 48, Cit\u00e9 Scientifique, 59 651 Villeneuve d\u2019Ascq, Cedex FRANCE"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Ecole Centrale de Lille, Villeneuve d'Ascq, Hauts-de-France, FR","institution_ids":["https://openalex.org/I7454413"]},{"raw_affiliation_string":"LAIL UPRESA 8021 CNRS - Ecole Centrale de Lille, BP 48, Cit\u00e9 Scientifique, 59 651 Villeneuve d\u2019Ascq, Cedex FRANCE","institution_ids":["https://openalex.org/I7454413"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I7454413"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":34,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"3917","last_page":"3922"},"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":0.9997000098228455,"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":0.9997000098228455,"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":0.9979000091552734,"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/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.9962999820709229,"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":0.7381606101989746},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.6937011480331421},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6747184991836548},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.6535284519195557},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6392699480056763},{"id":"https://openalex.org/keywords/linear-matrix-inequality","display_name":"Linear matrix inequality","score":0.6310864686965942},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6247564554214478},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4899131655693054},{"id":"https://openalex.org/keywords/stability-conditions","display_name":"Stability conditions","score":0.4399905502796173},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.38401955366134644},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.32346880435943604},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.27622950077056885},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.23248794674873352}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7381606101989746},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.6937011480331421},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6747184991836548},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.6535284519195557},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6392699480056763},{"id":"https://openalex.org/C201829737","wikidata":"https://www.wikidata.org/wiki/Q2022760","display_name":"Linear matrix inequality","level":2,"score":0.6310864686965942},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6247564554214478},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4899131655693054},{"id":"https://openalex.org/C143170015","wikidata":"https://www.wikidata.org/wiki/Q17007850","display_name":"Stability conditions","level":3,"score":0.4399905502796173},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.38401955366134644},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.32346880435943604},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.27622950077056885},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.23248794674873352},{"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/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.23919/ecc.2001.7076546","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc.2001.7076546","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2001 European Control Conference (ECC)","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":5,"referenced_works":["https://openalex.org/W1960239420","https://openalex.org/W2079325629","https://openalex.org/W2129616157","https://openalex.org/W2140156391","https://openalex.org/W2157637302"],"related_works":["https://openalex.org/W2610480937","https://openalex.org/W2354218031","https://openalex.org/W2094512427","https://openalex.org/W2107584029","https://openalex.org/W1979000419","https://openalex.org/W2059184849","https://openalex.org/W1786061187","https://openalex.org/W2506486174","https://openalex.org/W2102628533","https://openalex.org/W2342432989"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"new":[3],"stability":[4,21],"conditions":[5,22],"for":[6],"continuous-time":[7],"Takagi-Sugeno":[8],"(T-S)":[9],"models":[10],"and,":[11],"by":[12,25],"extension,":[13],"a":[14,27,37],"wide":[15],"class":[16],"of":[17,48,53],"nonlinear":[18],"systems.":[19],"The":[20,32],"are":[23,34],"derived":[24],"using":[26],"non":[28],"quadratic":[29],"Liapunov":[30],"function.":[31],"results":[33],"presented":[35],"in":[36],"Linear":[38],"Matrix":[39],"Inequality":[40],"(LMI)":[41],"formulation.":[42],"An":[43],"extension":[44],"to":[45],"the":[46],"case":[47],"stabilization":[49],"with":[50],"different":[51],"types":[52],"controllers":[54],"is":[55],"also":[56],"proposed":[57],"here.":[58]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}