{"id":"https://openalex.org/W2120001753","doi":"https://doi.org/10.1109/cdc.2011.6160495","title":"Multivariable Newton-based extremum seeking","display_name":"Multivariable Newton-based extremum seeking","publication_year":2011,"publication_date":"2011-12-01","ids":{"openalex":"https://openalex.org/W2120001753","doi":"https://doi.org/10.1109/cdc.2011.6160495","mag":"2120001753"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2011.6160495","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2011.6160495","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Conference on Decision and Control and European 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/A5026056269","display_name":"Azad Ghaffari","orcid":"https://orcid.org/0000-0003-4105-0963"},"institutions":[{"id":"https://openalex.org/I26538001","display_name":"San Diego State University","ror":"https://ror.org/0264fdx42","country_code":"US","type":"education","lineage":["https://openalex.org/I26538001"]},{"id":"https://openalex.org/I36258959","display_name":"University of California, San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Azad Ghaffari","raw_affiliation_strings":["San Diego State University and University of California, San Diego, La Jolla, CA, USA","Joint-Doctoral Programs (Aerospace and Mechanical) between San Diego State University and University of California at San Diego, La Jolla, 92093-0411, USA"],"affiliations":[{"raw_affiliation_string":"San Diego State University and University of California, San Diego, La Jolla, CA, USA","institution_ids":["https://openalex.org/I26538001","https://openalex.org/I36258959"]},{"raw_affiliation_string":"Joint-Doctoral Programs (Aerospace and Mechanical) between San Diego State University and University of California at San Diego, La Jolla, 92093-0411, USA","institution_ids":["https://openalex.org/I36258959"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018293076","display_name":"Miroslav Krsti\u0107","orcid":"https://orcid.org/0000-0002-5523-941X"},"institutions":[{"id":"https://openalex.org/I36258959","display_name":"University of California, San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Miroslav Krstic","raw_affiliation_strings":["Department of Mechanical and AeroSpace Engineering, University of California, San Diego, La Jolla, CA, USA","Department of Mechanical and Aerospace Engineering, University of California, San Diego, La Jolla, 92093-0411 USA#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical and AeroSpace Engineering, University of California, San Diego, La Jolla, CA, USA","institution_ids":["https://openalex.org/I36258959"]},{"raw_affiliation_string":"Department of Mechanical and Aerospace Engineering, University of California, San Diego, La Jolla, 92093-0411 USA#TAB#","institution_ids":["https://openalex.org/I36258959"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5035230630","display_name":"Dragan Ne\u0161i\u0107","orcid":"https://orcid.org/0000-0001-7944-0241"},"institutions":[{"id":"https://openalex.org/I165779595","display_name":"University of Melbourne","ror":"https://ror.org/01ej9dk98","country_code":"AU","type":"education","lineage":["https://openalex.org/I165779595"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Dragan Nesic","raw_affiliation_strings":["Department of Electrical and Electronic Engineering, University of Melbourne, VIC, Australia","Department of Electrical and Electronic Engineering,The University of Melbourne,VIC 3010,Australia)"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronic Engineering, University of Melbourne, VIC, Australia","institution_ids":["https://openalex.org/I165779595"]},{"raw_affiliation_string":"Department of Electrical and Electronic Engineering,The University of Melbourne,VIC 3010,Australia)","institution_ids":["https://openalex.org/I165779595"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5026056269"],"corresponding_institution_ids":["https://openalex.org/I26538001","https://openalex.org/I36258959"],"apc_list":null,"apc_paid":null,"fwci":2.61,"has_fulltext":false,"cited_by_count":25,"citation_normalized_percentile":{"value":0.91089605,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"4436","last_page":"4441"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T14083","display_name":"Extremum Seeking Control Systems","score":0.9998999834060669,"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/T14083","display_name":"Extremum Seeking Control Systems","score":0.9998999834060669,"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/multivariable-calculus","display_name":"Multivariable calculus","score":0.7113386392593384},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5319308042526245},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5132936835289001},{"id":"https://openalex.org/keywords/newtons-method","display_name":"Newton's method","score":0.4914182424545288},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.36097025871276855},{"id":"https://openalex.org/keywords/control-engineering","display_name":"Control engineering","score":0.2850711941719055},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.26761507987976074},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.19275382161140442},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.15371769666671753},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.13986024260520935},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11161059141159058},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.0851377546787262}],"concepts":[{"id":"https://openalex.org/C117312493","wikidata":"https://www.wikidata.org/wiki/Q2035437","display_name":"Multivariable calculus","level":2,"score":0.7113386392593384},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5319308042526245},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5132936835289001},{"id":"https://openalex.org/C85189116","wikidata":"https://www.wikidata.org/wiki/Q374195","display_name":"Newton's method","level":3,"score":0.4914182424545288},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.36097025871276855},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.2850711941719055},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.26761507987976074},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.19275382161140442},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.15371769666671753},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.13986024260520935},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11161059141159058},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0851377546787262},{"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.2011.6160495","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2011.6160495","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Conference on Decision and Control and European Control Conference","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":25,"referenced_works":["https://openalex.org/W1540560684","https://openalex.org/W1965954327","https://openalex.org/W2011652032","https://openalex.org/W2018771588","https://openalex.org/W2019270513","https://openalex.org/W2028159396","https://openalex.org/W2055253862","https://openalex.org/W2095062552","https://openalex.org/W2097133442","https://openalex.org/W2098082970","https://openalex.org/W2109773510","https://openalex.org/W2110725341","https://openalex.org/W2112414699","https://openalex.org/W2114799240","https://openalex.org/W2119301680","https://openalex.org/W2121043384","https://openalex.org/W2122041480","https://openalex.org/W2124646895","https://openalex.org/W2133651102","https://openalex.org/W2153409886","https://openalex.org/W2156466787","https://openalex.org/W2161249687","https://openalex.org/W2164640872","https://openalex.org/W4252455350","https://openalex.org/W4300443332"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W1576377477","https://openalex.org/W2721687755","https://openalex.org/W2224575301","https://openalex.org/W418212511","https://openalex.org/W2388146630","https://openalex.org/W2086932047","https://openalex.org/W1964208669"],"abstract_inverted_index":{"We":[0,55],"present":[1],"a":[2,26,51],"Newton-based":[3,16],"extremum":[4,17,80,171],"seeking":[5,18],"algorithm":[6,62,84,120],"for":[7,20,63],"the":[8,14,21,30,35,38,48,60,76,82,86,89,93,99,104,109,112,118,123,128,141,144,151,163,166],"multivariable":[9,79],"case.":[10],"The":[11],"design":[12],"extends":[13],"recent":[15],"algorithms":[19,146],"scalar":[22],"case":[23],"and":[24,70,97,107],"introduces":[25],"dynamic":[27,66],"estimator":[28,46],"of":[29,41,50,59,88,102,108,111,165],"Hessian":[31,95,113],"matrix":[32,43,96],"that":[33,134],"removes":[34,85],"difficulty":[36],"with":[37,75,127,132],"possible":[39],"singularity":[40],"this":[42],"estimate.":[44],"This":[45],"has":[47],"form":[49],"differential":[52],"Riccati":[53],"equation.":[54],"prove":[56],"local":[57],"stability":[58],"new":[61,119,145],"general":[64],"nonlinear":[65],"systems":[67],"using":[68],"averaging":[69],"singular":[71],"perturbations.":[72],"In":[73,116,140],"comparison":[74],"standard":[77],"gradient-based":[78,170],"seeking,":[81],"proposed":[83,167],"dependence":[87],"convergence":[90,100],"rate":[91],"on":[92],"unknown":[94],"makes":[98],"rate,":[101],"both":[103],"parameter":[105,142],"estimates":[106,110],"inverse,":[114],"user-assignable.":[115],"particular,":[117],"allows":[121],"all":[122],"parameters":[124],"to":[125,150,155],"converge":[126],"same":[129],"speed,":[130],"even":[131],"maps":[133],"have":[135],"highly":[136],"elongated":[137],"level":[138],"sets.":[139],"space,":[143],"produces":[147],"trajectories":[148],"straight":[149],"extremum,":[152],"as":[153],"opposed":[154],"non-direct":[156],"\u201csteepest":[157],"descent\u201d":[158],"trajectories.":[159],"Simulation":[160],"results":[161],"show":[162],"advantage":[164],"approach":[168],"over":[169],"seeking.":[172]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":4},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}