{"id":"https://openalex.org/W3021768156","doi":"https://doi.org/10.1109/tfuzz.2020.2991149","title":"A Polynomial Membership Function Approach for Stability Analysis of Fuzzy Systems","display_name":"A Polynomial Membership Function Approach for Stability Analysis of Fuzzy Systems","publication_year":2020,"publication_date":"2020-04-29","ids":{"openalex":"https://openalex.org/W3021768156","doi":"https://doi.org/10.1109/tfuzz.2020.2991149","mag":"3021768156"},"language":"en","primary_location":{"id":"doi:10.1109/tfuzz.2020.2991149","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tfuzz.2020.2991149","pdf_url":null,"source":{"id":"https://openalex.org/S134177497","display_name":"IEEE Transactions on Fuzzy Systems","issn_l":"1063-6706","issn":["1063-6706","1941-0034"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Fuzzy Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://kclpure.kcl.ac.uk/portal/en/publications/fb2d6fb1-fd45-4045-b161-d7ff3ea2d04c","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5009955758","display_name":"Wen\u2010Bo Xie","orcid":"https://orcid.org/0000-0002-3325-2779"},"institutions":[{"id":"https://openalex.org/I100188998","display_name":"Harbin University of Science and Technology","ror":"https://ror.org/04e6y1282","country_code":"CN","type":"education","lineage":["https://openalex.org/I100188998"]},{"id":"https://openalex.org/I113940042","display_name":"Shanghai University","ror":"https://ror.org/006teas31","country_code":"CN","type":"education","lineage":["https://openalex.org/I113940042"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Wen-Bo Xie","raw_affiliation_strings":["College of Automation, Harbin University of Science and Technology, Harbin, China","Shanghai Key Laboratory of Power Station Automation Technology, School of Mechatronic Engineering and Automation, Shanghai University, Shanghai, China"],"raw_orcid":"https://orcid.org/0000-0002-3325-2779","affiliations":[{"raw_affiliation_string":"College of Automation, Harbin University of Science and Technology, Harbin, China","institution_ids":["https://openalex.org/I100188998"]},{"raw_affiliation_string":"Shanghai Key Laboratory of Power Station Automation Technology, School of Mechatronic Engineering and Automation, Shanghai University, Shanghai, China","institution_ids":["https://openalex.org/I113940042"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111165467","display_name":"Sang Song","orcid":null},"institutions":[{"id":"https://openalex.org/I100188998","display_name":"Harbin University of Science and Technology","ror":"https://ror.org/04e6y1282","country_code":"CN","type":"education","lineage":["https://openalex.org/I100188998"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Song Sang","raw_affiliation_strings":["College of Automation, Harbin University of Science and Technology, Harbin, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Automation, Harbin University of Science and Technology, Harbin, China","institution_ids":["https://openalex.org/I100188998"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059514204","display_name":"Hak\u2010Keung Lam","orcid":"https://orcid.org/0000-0002-6572-7265"},"institutions":[{"id":"https://openalex.org/I183935753","display_name":"King's College London","ror":"https://ror.org/0220mzb33","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I183935753"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Hak-Keung Lam","raw_affiliation_strings":["Department of Informatics, King's College London, London, U.K"],"raw_orcid":"https://orcid.org/0000-0002-6572-7265","affiliations":[{"raw_affiliation_string":"Department of Informatics, King's College London, London, U.K","institution_ids":["https://openalex.org/I183935753"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100749317","display_name":"Jian Zhang","orcid":"https://orcid.org/0000-0002-2432-8612"},"institutions":[{"id":"https://openalex.org/I151727225","display_name":"Harbin Engineering University","ror":"https://ror.org/03x80pn82","country_code":"CN","type":"education","lineage":["https://openalex.org/I151727225"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jian Zhang","raw_affiliation_strings":["College of Power and Energy Engineering, Harbin Engineering University, Harbin, China"],"raw_orcid":"https://orcid.org/0000-0002-2432-8612","affiliations":[{"raw_affiliation_string":"College of Power and Energy Engineering, Harbin Engineering University, Harbin, China","institution_ids":["https://openalex.org/I151727225"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5009955758"],"corresponding_institution_ids":["https://openalex.org/I100188998","https://openalex.org/I113940042"],"apc_list":null,"apc_paid":null,"fwci":4.8921,"has_fulltext":false,"cited_by_count":48,"citation_normalized_percentile":{"value":0.9594389,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":"29","issue":"8","first_page":"2077","last_page":"2087"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9940000176429749,"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"}},"topics":[{"id":"https://openalex.org/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9940000176429749,"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"}},{"id":"https://openalex.org/T10305","display_name":"Power System Optimization and Stability","score":0.9818999767303467,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.980400025844574,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.692575991153717},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6615994572639465},{"id":"https://openalex.org/keywords/membership-function","display_name":"Membership function","score":0.5106740593910217},{"id":"https://openalex.org/keywords/kharitonovs-theorem","display_name":"Kharitonov's theorem","score":0.4912227988243103},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.479897141456604},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.47204598784446716},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.44213753938674927},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.4276845157146454},{"id":"https://openalex.org/keywords/fuzzy-control-system","display_name":"Fuzzy control system","score":0.4156178832054138},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3889484405517578},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.38089725375175476},{"id":"https://openalex.org/keywords/matrix-polynomial","display_name":"Matrix polynomial","score":0.30593806505203247},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.22171831130981445},{"id":"https://openalex.org/keywords/square-free-polynomial","display_name":"Square-free polynomial","score":0.11321437358856201},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.112389475107193},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09119656682014465}],"concepts":[{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.692575991153717},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6615994572639465},{"id":"https://openalex.org/C5263885","wikidata":"https://www.wikidata.org/wiki/Q1967302","display_name":"Membership function","level":4,"score":0.5106740593910217},{"id":"https://openalex.org/C173047080","wikidata":"https://www.wikidata.org/wiki/Q6400676","display_name":"Kharitonov's theorem","level":5,"score":0.4912227988243103},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.479897141456604},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.47204598784446716},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.44213753938674927},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.4276845157146454},{"id":"https://openalex.org/C195975749","wikidata":"https://www.wikidata.org/wiki/Q1475705","display_name":"Fuzzy control system","level":3,"score":0.4156178832054138},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3889484405517578},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.38089725375175476},{"id":"https://openalex.org/C101044782","wikidata":"https://www.wikidata.org/wiki/Q6787887","display_name":"Matrix polynomial","level":3,"score":0.30593806505203247},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.22171831130981445},{"id":"https://openalex.org/C101525915","wikidata":"https://www.wikidata.org/wiki/Q7581979","display_name":"Square-free polynomial","level":4,"score":0.11321437358856201},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.112389475107193},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09119656682014465},{"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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tfuzz.2020.2991149","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tfuzz.2020.2991149","pdf_url":null,"source":{"id":"https://openalex.org/S134177497","display_name":"IEEE Transactions on Fuzzy Systems","issn_l":"1063-6706","issn":["1063-6706","1941-0034"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Fuzzy Systems","raw_type":"journal-article"},{"id":"pmh:oai:kclpure.kcl.ac.uk:openaire/fb2d6fb1-fd45-4045-b161-d7ff3ea2d04c","is_oa":true,"landing_page_url":"https://kclpure.kcl.ac.uk/portal/en/publications/fb2d6fb1-fd45-4045-b161-d7ff3ea2d04c","pdf_url":null,"source":{"id":"https://openalex.org/S4306400216","display_name":"Research Portal (King's College London)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I183935753","host_organization_name":"King's College London","host_organization_lineage":["https://openalex.org/I183935753"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Xie, W B, Sang, S, Lam, H K & Zhang, J 2021, 'A Polynomial Membership Function Approach for Stability Analysis of Fuzzy Systems', IEEE Transactions on Fuzzy Systems, vol. 29, no. 8, 9082098, pp. 2077-2087. https://doi.org/10.1109/TFUZZ.2020.2991149","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":{"id":"pmh:oai:kclpure.kcl.ac.uk:openaire/fb2d6fb1-fd45-4045-b161-d7ff3ea2d04c","is_oa":true,"landing_page_url":"https://kclpure.kcl.ac.uk/portal/en/publications/fb2d6fb1-fd45-4045-b161-d7ff3ea2d04c","pdf_url":null,"source":{"id":"https://openalex.org/S4306400216","display_name":"Research Portal (King's College London)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I183935753","host_organization_name":"King's College London","host_organization_lineage":["https://openalex.org/I183935753"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Xie, W B, Sang, S, Lam, H K & Zhang, J 2021, 'A Polynomial Membership Function Approach for Stability Analysis of Fuzzy Systems', IEEE Transactions on Fuzzy Systems, vol. 29, no. 8, 9082098, pp. 2077-2087. https://doi.org/10.1109/TFUZZ.2020.2991149","raw_type":"info:eu-repo/semantics/publishedVersion"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5128925552","display_name":null,"funder_award_id":"61803114","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G578599627","display_name":null,"funder_award_id":"61803127","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6211220100","display_name":null,"funder_award_id":"2019M661463","funder_id":"https://openalex.org/F4320321543","funder_display_name":"China Postdoctoral Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321543","display_name":"China Postdoctoral Science Foundation","ror":"https://ror.org/0426zh255"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":54,"referenced_works":["https://openalex.org/W1510789416","https://openalex.org/W1770665627","https://openalex.org/W1966698898","https://openalex.org/W1970300242","https://openalex.org/W1976329293","https://openalex.org/W2020740790","https://openalex.org/W2023227943","https://openalex.org/W2040766536","https://openalex.org/W2046422374","https://openalex.org/W2051404662","https://openalex.org/W2052424889","https://openalex.org/W2069297067","https://openalex.org/W2078133820","https://openalex.org/W2078654755","https://openalex.org/W2079325629","https://openalex.org/W2085898789","https://openalex.org/W2085992383","https://openalex.org/W2087749801","https://openalex.org/W2092407233","https://openalex.org/W2092596100","https://openalex.org/W2092745108","https://openalex.org/W2097166675","https://openalex.org/W2097477862","https://openalex.org/W2107526949","https://openalex.org/W2114232743","https://openalex.org/W2115240537","https://openalex.org/W2121908372","https://openalex.org/W2124782161","https://openalex.org/W2131029148","https://openalex.org/W2140609603","https://openalex.org/W2143142281","https://openalex.org/W2161914871","https://openalex.org/W2193172011","https://openalex.org/W2215320121","https://openalex.org/W2218700498","https://openalex.org/W2327086696","https://openalex.org/W2337357291","https://openalex.org/W2362916133","https://openalex.org/W2419085922","https://openalex.org/W2427717405","https://openalex.org/W2506249013","https://openalex.org/W2549961572","https://openalex.org/W2554850856","https://openalex.org/W2566098869","https://openalex.org/W2589128569","https://openalex.org/W2734426854","https://openalex.org/W2735834722","https://openalex.org/W2763523689","https://openalex.org/W2791009892","https://openalex.org/W2792262551","https://openalex.org/W2792825270","https://openalex.org/W2952191188","https://openalex.org/W2979321589","https://openalex.org/W4232908026"],"related_works":["https://openalex.org/W87675884","https://openalex.org/W154406135","https://openalex.org/W2132859092","https://openalex.org/W2166637398","https://openalex.org/W2384503959","https://openalex.org/W2181335288","https://openalex.org/W2012019755","https://openalex.org/W2374152511","https://openalex.org/W2013143463","https://openalex.org/W2320922716"],"abstract_inverted_index":{"For":[0],"the":[1,46,50,54,73,79],"stability":[2,57,74],"analysis":[3,75],"of":[4,49],"a":[5,9,25,29],"polynomial":[6,11,63,83],"fuzzy":[7,51],"system,":[8,28],"new":[10],"membership":[12,38,47,64],"function":[13,39],"approach":[14],"is":[15,33,42],"proposed":[16,43],"to":[17,44],"reduce":[18],"conservatism.":[19],"In":[20],"this":[21],"article,":[22],"based":[23],"on":[24,78],"state-feedback":[26],"closed-loop":[27],"polynomials":[30],"fitting":[31],"method":[32],"utilized,":[34],"and":[35,66,93],"an":[36],"improved":[37],"transformation":[40],"technique":[41],"approximate":[45],"functions":[48,65],"system.":[52],"Then,":[53],"membership-function-dependent":[55],"polynomial-based":[56],"conditions":[58,84],"are":[59,99],"derived.":[60],"The":[61],"obtained":[62],"approximation":[67],"errors":[68],"will":[69],"be":[70,86],"involved":[71],"in":[72],"process.":[76],"Based":[77],"sum-of-squares":[80],"optimization":[81],"technique,":[82],"can":[85],"directly":[87],"solved.":[88],"Finally,":[89],"by":[90,101],"several":[91],"numerical":[92],"practical":[94],"examples,":[95],"conservatism":[96],"reduction":[97],"effects":[98],"shown":[100],"comparisons":[102],"with":[103],"existing":[104],"methods.":[105]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":8},{"year":2023,"cited_by_count":11},{"year":2022,"cited_by_count":8},{"year":2021,"cited_by_count":9},{"year":2020,"cited_by_count":8}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
