{"id":"https://openalex.org/W2110314533","doi":"https://doi.org/10.1109/cdc.2009.5400013","title":"Asymptotically necessary and sufficient stability with respect to nonquadratic Lyapunov function for Takagi-Sugeno model","display_name":"Asymptotically necessary and sufficient stability with respect to nonquadratic Lyapunov function for Takagi-Sugeno model","publication_year":2009,"publication_date":"2009-12-01","ids":{"openalex":"https://openalex.org/W2110314533","doi":"https://doi.org/10.1109/cdc.2009.5400013","mag":"2110314533"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2009.5400013","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2009.5400013","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference","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/A5011141557","display_name":"Baocang Ding","orcid":"https://orcid.org/0000-0002-9864-1791"},"institutions":[{"id":"https://openalex.org/I158842170","display_name":"Chongqing University","ror":"https://ror.org/023rhb549","country_code":"CN","type":"education","lineage":["https://openalex.org/I158842170"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Baocang Ding","raw_affiliation_strings":["College of Automation, Chongqing University, Chongqing, China","College of Automation; Chongqing University; Chongqing; 400044; China"],"affiliations":[{"raw_affiliation_string":"College of Automation, Chongqing University, Chongqing, China","institution_ids":["https://openalex.org/I158842170"]},{"raw_affiliation_string":"College of Automation; Chongqing University; Chongqing; 400044; China","institution_ids":["https://openalex.org/I158842170"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5017841792","display_name":"Tao Zou","orcid":"https://orcid.org/0000-0001-7328-5703"},"institutions":[{"id":"https://openalex.org/I55712492","display_name":"Zhejiang University of Technology","ror":"https://ror.org/02djqfd08","country_code":"CN","type":"education","lineage":["https://openalex.org/I55712492"]},{"id":"https://openalex.org/I158842170","display_name":"Chongqing University","ror":"https://ror.org/023rhb549","country_code":"CN","type":"education","lineage":["https://openalex.org/I158842170"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tao Zou","raw_affiliation_strings":["Department of Automation, Zhejiang University of Technology, Hangzhou, China","College of Automation; Chongqing University; Chongqing; 400044; China"],"affiliations":[{"raw_affiliation_string":"Department of Automation, Zhejiang University of Technology, Hangzhou, China","institution_ids":["https://openalex.org/I55712492"]},{"raw_affiliation_string":"College of Automation; Chongqing University; Chongqing; 400044; China","institution_ids":["https://openalex.org/I158842170"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5011141557"],"corresponding_institution_ids":["https://openalex.org/I158842170"],"apc_list":null,"apc_paid":null,"fwci":0.6857,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.72852354,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"4162","last_page":"4167"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9979000091552734,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9979000091552734,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9977999925613403,"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":0.9965999722480774,"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/lyapunov-function","display_name":"Lyapunov function","score":0.8001806139945984},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7756226062774658},{"id":"https://openalex.org/keywords/parameterized-complexity","display_name":"Parameterized complexity","score":0.7099975943565369},{"id":"https://openalex.org/keywords/stability-theory","display_name":"Stability theory","score":0.6564651727676392},{"id":"https://openalex.org/keywords/lyapunov-equation","display_name":"Lyapunov equation","score":0.631605863571167},{"id":"https://openalex.org/keywords/lyapunov-redesign","display_name":"Lyapunov redesign","score":0.6135538220405579},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.5488411784172058},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5257457494735718},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5239512920379639},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5113117694854736},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5017659664154053},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4982154369354248},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.4843531847000122},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.4436802268028259},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.15913382172584534},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.06663325428962708},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.06247478723526001}],"concepts":[{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.8001806139945984},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7756226062774658},{"id":"https://openalex.org/C165464430","wikidata":"https://www.wikidata.org/wiki/Q1570441","display_name":"Parameterized complexity","level":2,"score":0.7099975943565369},{"id":"https://openalex.org/C41949839","wikidata":"https://www.wikidata.org/wiki/Q1756677","display_name":"Stability theory","level":3,"score":0.6564651727676392},{"id":"https://openalex.org/C25854792","wikidata":"https://www.wikidata.org/wiki/Q1028945","display_name":"Lyapunov equation","level":4,"score":0.631605863571167},{"id":"https://openalex.org/C37935115","wikidata":"https://www.wikidata.org/wiki/Q6707085","display_name":"Lyapunov redesign","level":4,"score":0.6135538220405579},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5488411784172058},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5257457494735718},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5239512920379639},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5113117694854736},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5017659664154053},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4982154369354248},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.4843531847000122},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.4436802268028259},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.15913382172584534},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.06663325428962708},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.06247478723526001},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/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/cdc.2009.5400013","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2009.5400013","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference","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":17,"referenced_works":["https://openalex.org/W131459893","https://openalex.org/W1974392705","https://openalex.org/W1979660509","https://openalex.org/W2001385495","https://openalex.org/W2034201789","https://openalex.org/W2035849126","https://openalex.org/W2049693349","https://openalex.org/W2065548314","https://openalex.org/W2068052921","https://openalex.org/W2070450010","https://openalex.org/W2079325629","https://openalex.org/W2107577395","https://openalex.org/W2117123735","https://openalex.org/W2143142281","https://openalex.org/W2143502897","https://openalex.org/W2166719817","https://openalex.org/W6659536571"],"related_works":["https://openalex.org/W2349796700","https://openalex.org/W2383986032","https://openalex.org/W2534107666","https://openalex.org/W3194517843","https://openalex.org/W2121515234","https://openalex.org/W1977987201","https://openalex.org/W2059628530","https://openalex.org/W2210722882","https://openalex.org/W2087878139","https://openalex.org/W170012745"],"abstract_inverted_index":{"This":[0,12,42],"paper":[1,43],"proposes":[2],"novel":[3,94],"stability":[4,81],"conditions":[5,29,82,101],"of":[6,47,100],"nonlinear":[7],"systems":[8],"in":[9,74,96],"Takagi-Sugeno's":[10],"form.":[11],"problem":[13],"has":[14,70],"been":[15,71],"studied":[16,72],"over":[17],"twenty":[18],"years":[19],"with":[20,35,83,104],"many":[21],"sufficient":[22,28,80],"conditions.":[23],"Recently,":[24],"asymptotically":[25,77],"necessary":[26,78],"and":[27,53,79],"are":[30,33,89,93],"obtained,":[31],"which":[32,69],"preferred":[34],"respect":[36,84,105],"to":[37,85,106],"common":[38],"quadratic":[39],"Lyapunov":[40,51,87],"function.":[41],"considers":[44],"general":[45],"forms":[46],"homogeneously":[48,54],"polynomially":[49,55,108],"nonquadratic":[50,86],"function":[52,88],"parameterized":[56],"state":[57],"feedback":[58],"laws.":[59],"By":[60],"generalizing":[61],"the":[62,66,98],"procedure":[63],"based":[64],"on":[65],"Polya's":[67],"theorem,":[68],"previously":[73],"different":[75],"context,":[76],"obtained.":[90],"The":[91],"results":[92],"also":[95],"that":[97],"number":[99],"is":[102],"minimized":[103],"homogenously":[107],"parameter-dependent":[109],"solutions.":[110]},"counts_by_year":[{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
