{"id":"https://openalex.org/W4200627092","doi":"https://doi.org/10.1109/tac.2021.3133366","title":"Ellipsoid-Based Interval Estimation for Lipschitz Nonlinear Systems","display_name":"Ellipsoid-Based Interval Estimation for Lipschitz Nonlinear Systems","publication_year":2021,"publication_date":"2021-12-07","ids":{"openalex":"https://openalex.org/W4200627092","doi":"https://doi.org/10.1109/tac.2021.3133366"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2021.3133366","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2021.3133366","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"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 Automatic Control","raw_type":"journal-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/A5114526338","display_name":"Wenhan Zhang","orcid":"https://orcid.org/0000-0003-4552-3780"},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Wenhan Zhang","raw_affiliation_strings":["Department of Control Science and Engineering, Harbin Institute of Technology, Harbin, China","HIT - Harbin Institute of Technology (92 West Dazhi Street , Nan Gang District, Harbin\r\nPost Code: 150001 - China)"],"raw_orcid":"https://orcid.org/0000-0003-4552-3780","affiliations":[{"raw_affiliation_string":"Department of Control Science and Engineering, Harbin Institute of Technology, Harbin, China","institution_ids":["https://openalex.org/I204983213"]},{"raw_affiliation_string":"HIT - Harbin Institute of Technology (92 West Dazhi Street , Nan Gang District, Harbin\r\nPost Code: 150001 - China)","institution_ids":["https://openalex.org/I204983213"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100395236","display_name":"Zhenhua Wang","orcid":"https://orcid.org/0000-0003-4923-9381"},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhenhua Wang","raw_affiliation_strings":["Department of Control Science and Engineering, Harbin Institute of Technology, Harbin, China","HIT - Harbin Institute of Technology (92 West Dazhi Street , Nan Gang District, Harbin\r\nPost Code: 150001 - China)"],"raw_orcid":"https://orcid.org/0000-0003-4923-9381","affiliations":[{"raw_affiliation_string":"Department of Control Science and Engineering, Harbin Institute of Technology, Harbin, China","institution_ids":["https://openalex.org/I204983213"]},{"raw_affiliation_string":"HIT - Harbin Institute of Technology (92 West Dazhi Street , Nan Gang District, Harbin\r\nPost Code: 150001 - China)","institution_ids":["https://openalex.org/I204983213"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003708184","display_name":"Tarek Ra\u00efssi","orcid":"https://orcid.org/0000-0002-8735-9395"},"institutions":[{"id":"https://openalex.org/I124158823","display_name":"Conservatoire National des Arts et M\u00e9tiers","ror":"https://ror.org/0175hh227","country_code":"FR","type":"education","lineage":["https://openalex.org/I124158823","https://openalex.org/I4210134562"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Tarek Raissi","raw_affiliation_strings":["Conservatoire National des Arts et Mtiers (CNAM), Paris, France"],"raw_orcid":"https://orcid.org/0000-0002-8735-9395","affiliations":[{"raw_affiliation_string":"Conservatoire National des Arts et Mtiers (CNAM), Paris, France","institution_ids":["https://openalex.org/I124158823"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5009129294","display_name":"Yi Shen","orcid":"https://orcid.org/0000-0002-3198-1927"},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yi Shen","raw_affiliation_strings":["Department of Control Science and Engineering, Harbin Institute of Technology, Harbin, China","HIT - Harbin Institute of Technology (92 West Dazhi Street , Nan Gang District, Harbin\r\nPost Code: 150001 - China)"],"raw_orcid":"https://orcid.org/0000-0002-3198-1927","affiliations":[{"raw_affiliation_string":"Department of Control Science and Engineering, Harbin Institute of Technology, Harbin, China","institution_ids":["https://openalex.org/I204983213"]},{"raw_affiliation_string":"HIT - Harbin Institute of Technology (92 West Dazhi Street , Nan Gang District, Harbin\r\nPost Code: 150001 - China)","institution_ids":["https://openalex.org/I204983213"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5114526338"],"corresponding_institution_ids":["https://openalex.org/I204983213"],"apc_list":null,"apc_paid":null,"fwci":4.1632,"has_fulltext":false,"cited_by_count":57,"citation_normalized_percentile":{"value":0.94562263,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"67","issue":"12","first_page":"6802","last_page":"6809"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","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/T11236","display_name":"Control Systems and Identification","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":0.9995999932289124,"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/T10876","display_name":"Fault Detection and Control 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"}}],"keywords":[{"id":"https://openalex.org/keywords/lipschitz-continuity","display_name":"Lipschitz continuity","score":0.893841028213501},{"id":"https://openalex.org/keywords/ellipsoid","display_name":"Ellipsoid","score":0.8030622005462646},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.7455801963806152},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.7271750569343567},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.702157199382782},{"id":"https://openalex.org/keywords/observer","display_name":"Observer (physics)","score":0.611736536026001},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5843371748924255},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.5425060987472534},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.32428115606307983},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.18073606491088867},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.0660141110420227}],"concepts":[{"id":"https://openalex.org/C22324862","wikidata":"https://www.wikidata.org/wiki/Q652707","display_name":"Lipschitz continuity","level":2,"score":0.893841028213501},{"id":"https://openalex.org/C57489055","wikidata":"https://www.wikidata.org/wiki/Q190046","display_name":"Ellipsoid","level":2,"score":0.8030622005462646},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.7455801963806152},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7271750569343567},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.702157199382782},{"id":"https://openalex.org/C2780704645","wikidata":"https://www.wikidata.org/wiki/Q9251458","display_name":"Observer (physics)","level":2,"score":0.611736536026001},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5843371748924255},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.5425060987472534},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.32428115606307983},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.18073606491088867},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0660141110420227},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","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/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tac.2021.3133366","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2021.3133366","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"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 Automatic Control","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-03474699v1","is_oa":false,"landing_page_url":"https://hal.science/hal-03474699","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Transactions on Automatic Control, 2022, pp.1-1. ⟨10.1109/TAC.2021.3133366⟩","raw_type":"Journal articles"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","score":0.8100000023841858,"id":"https://metadata.un.org/sdg/16"}],"awards":[{"id":"https://openalex.org/G2148200518","display_name":null,"funder_award_id":"61973098","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4658479248","display_name":null,"funder_award_id":"61773145","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W184267688","https://openalex.org/W1994157709","https://openalex.org/W1997781100","https://openalex.org/W2001533932","https://openalex.org/W2011635872","https://openalex.org/W2077373544","https://openalex.org/W2082847490","https://openalex.org/W2095189861","https://openalex.org/W2098031711","https://openalex.org/W2103988321","https://openalex.org/W2127520982","https://openalex.org/W2282033015","https://openalex.org/W2300621294","https://openalex.org/W2611117645","https://openalex.org/W2753171327","https://openalex.org/W2801793887","https://openalex.org/W2897132420","https://openalex.org/W2901430384","https://openalex.org/W2911862555","https://openalex.org/W2915240060","https://openalex.org/W2920034463","https://openalex.org/W2940970026","https://openalex.org/W2942554878","https://openalex.org/W2963716017","https://openalex.org/W2976619168","https://openalex.org/W2977767629","https://openalex.org/W2980435870","https://openalex.org/W3004504212","https://openalex.org/W3004522146","https://openalex.org/W3089443584","https://openalex.org/W4250589301"],"related_works":["https://openalex.org/W2005485125","https://openalex.org/W3185235544","https://openalex.org/W2390718407","https://openalex.org/W4297791327","https://openalex.org/W1986006778","https://openalex.org/W2034124193","https://openalex.org/W2897842840","https://openalex.org/W3185441898","https://openalex.org/W2075693786","https://openalex.org/W2208893985"],"abstract_inverted_index":{"This":[0],"article":[1],"proposes":[2],"an":[3],"intervalestimation":[4],"method":[5],"for":[6],"discrete-time":[7],"Lipschitz":[8,48,54],"nonlinear":[9,45,59],"systems":[10],"via":[11],"observer":[12,19,76],"design":[13,30],"and":[14,32,98,111],"ellipsoidal":[15,100],"analysis.":[16,101],"A":[17],"robust":[18],"with":[20,79],"novel":[21],"structure":[22],"is":[23,77],"presented,":[24],"which":[25],"provides":[26],"more":[27],"degrees":[28],"of":[29,73,82,113],"freedom":[31],"can":[33],"be":[34],"applied":[35],"to":[36,56,107],"enhance":[37],"the":[38,44,52,58,68,70,74,80,86,95,99,109,114],"interval":[39,88],"estimation":[40,89],"performance.":[41],"To":[42],"handle":[43],"term":[46],"in":[47],"systems,":[49],"we":[50],"use":[51],"reformulated":[53],"property":[55],"transform":[57],"error":[60],"dynamics":[61],"into":[62],"a":[63],"linear":[64],"parameter-varying":[65],"form.":[66],"After":[67],"transformation,":[69],"robustness":[71],"performance":[72,97],"proposed":[75],"characterized":[78],"aid":[81],"peak-to-peak":[83,96],"index.":[84],"Furthermore,":[85],"comprehensive":[87],"results":[90,104],"are":[91,105],"obtained":[92],"by":[93],"using":[94],"Numerical":[102],"simulation":[103],"conducted":[106],"demonstrate":[108],"viability":[110],"validity":[112],"presented":[115],"method.":[116]},"counts_by_year":[{"year":2026,"cited_by_count":6},{"year":2025,"cited_by_count":21},{"year":2024,"cited_by_count":19},{"year":2023,"cited_by_count":9},{"year":2022,"cited_by_count":2}],"updated_date":"2026-05-21T09:19:25.381259","created_date":"2025-10-10T00:00:00"}