{"id":"https://openalex.org/W2065961198","doi":"https://doi.org/10.1109/cdc.2014.7039797","title":"Extremum seeking control for nonlinear systems on compact Riemannian manifolds","display_name":"Extremum seeking control for nonlinear systems on compact Riemannian manifolds","publication_year":2014,"publication_date":"2014-12-01","ids":{"openalex":"https://openalex.org/W2065961198","doi":"https://doi.org/10.1109/cdc.2014.7039797","mag":"2065961198"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2014.7039797","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2014.7039797","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"53rd IEEE Conference on Decision and Control","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/A5045638418","display_name":"Farzin Taringoo","orcid":null},"institutions":[{"id":"https://openalex.org/I165779595","display_name":"The 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":"Farzin Taringoo","raw_affiliation_strings":["Electrical and Electronic Engineering Department, University of Melbourne, Victoria, Australia","Electrical and Electronic Engineering Department, The University of Melbourne, Victoria, 3010, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Electrical and Electronic Engineering Department, University of Melbourne, Victoria, Australia","institution_ids":["https://openalex.org/I165779595"]},{"raw_affiliation_string":"Electrical and Electronic Engineering Department, The University of Melbourne, Victoria, 3010, Australia","institution_ids":["https://openalex.org/I165779595"]}]},{"author_position":"middle","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":"The 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":["Electrical and Electronic Engineering Department, University of Melbourne, Victoria, Australia","Electrical and Electronic Engineering Department, The University of Melbourne, Victoria, 3010, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Electrical and Electronic Engineering Department, University of Melbourne, Victoria, Australia","institution_ids":["https://openalex.org/I165779595"]},{"raw_affiliation_string":"Electrical and Electronic Engineering Department, The University of Melbourne, Victoria, 3010, Australia","institution_ids":["https://openalex.org/I165779595"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078570390","display_name":"Ying Tan","orcid":"https://orcid.org/0000-0001-8495-0246"},"institutions":[{"id":"https://openalex.org/I165779595","display_name":"The 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":"Ying Tan","raw_affiliation_strings":["Electrical and Electronic Engineering Department, University of Melbourne, Victoria, Australia","Electrical and Electronic Engineering Department, The University of Melbourne, Victoria, 3010, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Electrical and Electronic Engineering Department, University of Melbourne, Victoria, Australia","institution_ids":["https://openalex.org/I165779595"]},{"raw_affiliation_string":"Electrical and Electronic Engineering Department, The University of Melbourne, Victoria, 3010, Australia","institution_ids":["https://openalex.org/I165779595"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004101031","display_name":"Peter M. Dower","orcid":"https://orcid.org/0000-0002-9791-7776"},"institutions":[{"id":"https://openalex.org/I165779595","display_name":"The 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":"Peter M. Dower","raw_affiliation_strings":["Electrical and Electronic Engineering Department, University of Melbourne, Victoria, Australia","Electrical and Electronic Engineering Department, The University of Melbourne, Victoria, 3010, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Electrical and Electronic Engineering Department, University of Melbourne, Victoria, Australia","institution_ids":["https://openalex.org/I165779595"]},{"raw_affiliation_string":"Electrical and Electronic Engineering Department, The University of Melbourne, Victoria, 3010, Australia","institution_ids":["https://openalex.org/I165779595"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I165779595"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"39","issue":null,"first_page":"2667","last_page":"2672"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T14083","display_name":"Extremum Seeking Control 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/T14083","display_name":"Extremum Seeking Control 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/T10791","display_name":"Advanced Control Systems Optimization","score":0.975600004196167,"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/T13539","display_name":"thermodynamics and calorimetric analyses","score":0.9466000199317932,"subfield":{"id":"https://openalex.org/subfields/1606","display_name":"Physical and Theoretical Chemistry"},"field":{"id":"https://openalex.org/fields/16","display_name":"Chemistry"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7148762941360474},{"id":"https://openalex.org/keywords/riemannian-geometry","display_name":"Riemannian geometry","score":0.6133406162261963},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.5726943016052246},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.5459113121032715},{"id":"https://openalex.org/keywords/global-analysis","display_name":"Global analysis","score":0.5439664125442505},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5228258371353149},{"id":"https://openalex.org/keywords/perturbation","display_name":"Perturbation (astronomy)","score":0.5148231387138367},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4412078857421875},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.4290536642074585},{"id":"https://openalex.org/keywords/ricci-flat-manifold","display_name":"Ricci-flat manifold","score":0.42817503213882446},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.42112261056900024},{"id":"https://openalex.org/keywords/euclidean-space","display_name":"Euclidean space","score":0.41798102855682373},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.37406226992607117},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3422981798648834},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.21918079257011414},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.18604812026023865},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07891634106636047},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.0662655234336853}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7148762941360474},{"id":"https://openalex.org/C181104567","wikidata":"https://www.wikidata.org/wiki/Q761383","display_name":"Riemannian geometry","level":2,"score":0.6133406162261963},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.5726943016052246},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.5459113121032715},{"id":"https://openalex.org/C191174866","wikidata":"https://www.wikidata.org/wiki/Q17017346","display_name":"Global analysis","level":5,"score":0.5439664125442505},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5228258371353149},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.5148231387138367},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4412078857421875},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.4290536642074585},{"id":"https://openalex.org/C203934109","wikidata":"https://www.wikidata.org/wiki/Q7322952","display_name":"Ricci-flat manifold","level":4,"score":0.42817503213882446},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.42112261056900024},{"id":"https://openalex.org/C186450821","wikidata":"https://www.wikidata.org/wiki/Q17295","display_name":"Euclidean space","level":2,"score":0.41798102855682373},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.37406226992607117},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3422981798648834},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.21918079257011414},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.18604812026023865},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07891634106636047},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0662655234336853},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"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/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C12520029","wikidata":"https://www.wikidata.org/wiki/Q1147161","display_name":"Scalar curvature","level":3,"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2014.7039797","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2014.7039797","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"53rd IEEE Conference on Decision and Control","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":31,"referenced_works":["https://openalex.org/W1504128348","https://openalex.org/W1557324374","https://openalex.org/W1561445488","https://openalex.org/W1581443647","https://openalex.org/W1923779967","https://openalex.org/W1976181583","https://openalex.org/W1986366796","https://openalex.org/W1989145274","https://openalex.org/W2007122944","https://openalex.org/W2030039950","https://openalex.org/W2036216368","https://openalex.org/W2067708449","https://openalex.org/W2071976418","https://openalex.org/W2095062552","https://openalex.org/W2117079884","https://openalex.org/W2118198109","https://openalex.org/W2121043384","https://openalex.org/W2122041480","https://openalex.org/W2123185396","https://openalex.org/W2164640872","https://openalex.org/W2166003201","https://openalex.org/W4205424143","https://openalex.org/W4234194857","https://openalex.org/W4240542879","https://openalex.org/W4246954948","https://openalex.org/W4292402580","https://openalex.org/W4293203252","https://openalex.org/W4299657804","https://openalex.org/W6633346467","https://openalex.org/W6640156344","https://openalex.org/W6647872056"],"related_works":["https://openalex.org/W1571428170","https://openalex.org/W4298444419","https://openalex.org/W310341204","https://openalex.org/W1578638480","https://openalex.org/W4285160888","https://openalex.org/W1992818389","https://openalex.org/W1595217145","https://openalex.org/W1592746561","https://openalex.org/W2600500011","https://openalex.org/W1972417470"],"abstract_inverted_index":{"This":[0],"paper":[1],"formulates":[2],"the":[3,69,77,80,89],"extremum":[4,40,92],"seeking":[5,41,93],"control":[6],"problem":[7],"for":[8,21,53,95],"nonlinear":[9],"dynamical":[10,54,96],"systems":[11,55,97],"which":[12],"evolve":[13],"on":[14,57,73,83,98],"Riemannian":[15,74,99],"manifolds":[16,84],"and":[17,46],"presents":[18],"stability":[19,51],"results":[20,32,78],"a":[22,47],"class":[23],"of":[24,39,49,64,79,91],"numerical":[25],"algorithms":[26,42,94],"defined":[27,56],"in":[28,43],"this":[29],"context.":[30],"The":[31],"are":[33,85],"obtained":[34],"based":[35],"upon":[36],"an":[37],"extension":[38],"Euclidean":[44],"spaces":[45],"generalization":[48],"Lyapunov":[50,65],"theory":[52],"Rimannian":[58],"manifolds.":[59,75,100],"We":[60],"employ":[61],"local":[62],"properties":[63],"functions":[66],"to":[67,87],"extend":[68],"singular":[70,81],"perturbation":[71,82],"analysis":[72],"Consequently,":[76],"used":[86],"obtain":[88],"convergence":[90]},"counts_by_year":[{"year":2017,"cited_by_count":2}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}