{"id":"https://openalex.org/W4206290084","doi":"https://doi.org/10.1109/tac.2022.3140259","title":"Sampled-Data Extremum Seeking With Constant Delay: A Time-Delay Approach","display_name":"Sampled-Data Extremum Seeking With Constant Delay: A Time-Delay Approach","publication_year":2022,"publication_date":"2022-01-04","ids":{"openalex":"https://openalex.org/W4206290084","doi":"https://doi.org/10.1109/tac.2022.3140259"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2022.3140259","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2022.3140259","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/A5101996724","display_name":"Yang Zhu","orcid":"https://orcid.org/0000-0003-4110-6445"},"institutions":[{"id":"https://openalex.org/I4210141777","display_name":"Academic College of Tel Aviv-Yafo","ror":"https://ror.org/04cg6c004","country_code":"IL","type":"education","lineage":["https://openalex.org/I4210141777"]},{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]},{"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"]}],"countries":["CN","IL"],"is_corresponding":true,"raw_author_name":"Yang Zhu","raw_affiliation_strings":["College of Control Science and Engineering, State Key Laboratory of Industrial Control Technology, Zhejiang University, Zhejiang, China","School of Electrical Engineering, Tel-Aviv University, Tel Aviv-Yafo, Israel"],"affiliations":[{"raw_affiliation_string":"College of Control Science and Engineering, State Key Laboratory of Industrial Control Technology, Zhejiang University, Zhejiang, China","institution_ids":["https://openalex.org/I55712492"]},{"raw_affiliation_string":"School of Electrical Engineering, Tel-Aviv University, Tel Aviv-Yafo, Israel","institution_ids":["https://openalex.org/I4210141777","https://openalex.org/I16391192"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007830129","display_name":"Emilia Fridman","orcid":"https://orcid.org/0000-0002-8773-9494"},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]},{"id":"https://openalex.org/I4210141777","display_name":"Academic College of Tel Aviv-Yafo","ror":"https://ror.org/04cg6c004","country_code":"IL","type":"education","lineage":["https://openalex.org/I4210141777"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Emilia Fridman","raw_affiliation_strings":["School of Electrical Engineering, Tel-Aviv University, Tel Aviv-Yafo, Israel"],"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering, Tel-Aviv University, Tel Aviv-Yafo, Israel","institution_ids":["https://openalex.org/I4210141777","https://openalex.org/I16391192"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5087451137","display_name":"Tiago Roux Oliveira","orcid":"https://orcid.org/0000-0002-2232-8715"},"institutions":[{"id":"https://openalex.org/I40034438","display_name":"Universidade do Estado do Rio de Janeiro","ror":"https://ror.org/0198v2949","country_code":"BR","type":"education","lineage":["https://openalex.org/I40034438"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Tiago Roux Oliveira","raw_affiliation_strings":["Department of Electronics and Telecommunication Engineering, State University of Rio de Janeiro, Rio de Janeiro, Brazil"],"affiliations":[{"raw_affiliation_string":"Department of Electronics and Telecommunication Engineering, State University of Rio de Janeiro, Rio de Janeiro, Brazil","institution_ids":["https://openalex.org/I40034438"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5101996724"],"corresponding_institution_ids":["https://openalex.org/I16391192","https://openalex.org/I4210141777","https://openalex.org/I55712492"],"apc_list":null,"apc_paid":null,"fwci":4.6154,"has_fulltext":false,"cited_by_count":42,"citation_normalized_percentile":{"value":0.95248376,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"68","issue":"1","first_page":"432","last_page":"439"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T14083","display_name":"Extremum Seeking Control Systems","score":1.0,"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":1.0,"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/T10988","display_name":"Advanced Fiber Laser Technologies","score":0.9585999846458435,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.7534213066101074},{"id":"https://openalex.org/keywords/dither","display_name":"Dither","score":0.6675105690956116},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.6507024765014648},{"id":"https://openalex.org/keywords/constructive","display_name":"Constructive","score":0.6278010606765747},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6045444011688232},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.557266116142273},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5052109360694885},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.4630363881587982},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.30039215087890625},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.22141364216804504},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10432669520378113}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7534213066101074},{"id":"https://openalex.org/C70451592","wikidata":"https://www.wikidata.org/wiki/Q376493","display_name":"Dither","level":3,"score":0.6675105690956116},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.6507024765014648},{"id":"https://openalex.org/C2778701210","wikidata":"https://www.wikidata.org/wiki/Q28130034","display_name":"Constructive","level":3,"score":0.6278010606765747},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6045444011688232},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.557266116142273},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5052109360694885},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.4630363881587982},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.30039215087890625},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.22141364216804504},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10432669520378113},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C9083635","wikidata":"https://www.wikidata.org/wiki/Q2133535","display_name":"Noise shaping","level":2,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"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/tac.2022.3140259","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2022.3140259","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1854307505","display_name":null,"funder_award_id":"673/19","funder_id":"https://openalex.org/F4320322252","funder_display_name":"Israel Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320322252","display_name":"Israel Science Foundation","ror":"https://ror.org/04sazxf24"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W2095062552","https://openalex.org/W2121043384","https://openalex.org/W2135559057","https://openalex.org/W2142104050","https://openalex.org/W2166003201","https://openalex.org/W2305852296","https://openalex.org/W2407938586","https://openalex.org/W2560154500","https://openalex.org/W2564917587","https://openalex.org/W2591045852","https://openalex.org/W2972512132","https://openalex.org/W2996354645","https://openalex.org/W3016742084","https://openalex.org/W3037232681","https://openalex.org/W3090410276","https://openalex.org/W3120549309","https://openalex.org/W3206076366","https://openalex.org/W4210609599","https://openalex.org/W4240729697","https://openalex.org/W4300443332"],"related_works":["https://openalex.org/W2389128124","https://openalex.org/W2364812720","https://openalex.org/W2138725603","https://openalex.org/W3001913892","https://openalex.org/W2050335563","https://openalex.org/W2273639645","https://openalex.org/W2025239573","https://openalex.org/W2158905189","https://openalex.org/W4319874546","https://openalex.org/W1998404103"],"abstract_inverted_index":{"This":[0,118],"article":[1],"proposes":[2],"a":[3,56,60,84],"constructive":[4],"method":[5],"for":[6,36,75],"sampled-data":[7,30],"extremum":[8,115,126,129],"seeking":[9,116],"(ES)":[10],"with":[11],"square":[12],"wave":[13],"dithers":[14],"and":[15,26,94,128],"constant":[16,97],"delays,":[17],"by":[18],"using":[19],"two":[20],"time-delay":[21,51,78,81],"approaches:":[22],"one":[23],"to":[24,29,49,105],"averaging":[25],"the":[27,46,50,65,76,88,92,100,110,114,121],"other":[28],"control.":[31],"We":[32,63],"consider":[33],"gradient-based":[34],"ES":[35,47,101],"static":[37],"maps":[38],"which":[39],"are":[40],"of":[41,71,91,113,123,125],"quadratic":[42],"forms.":[43],"By":[44],"transforming":[45],"system":[48,102],"system,":[52],"we":[53],"have":[54],"developed":[55],"stability":[57,67],"analysis":[58],"via":[59],"Lyapunov\u2013Krasovskii":[61],"method.":[62],"derive":[64],"practical":[66],"conditions":[68],"in":[69,120],"terms":[70],"linear":[72],"matrix":[73],"inequalities":[74],"resulting":[77],"system.":[79],"The":[80],"approach":[82],"offers":[83],"quantitative":[85],"calculation":[86],"on":[87],"upper":[89],"bound":[90,112],"dither":[93],"sampling":[95],"periods,":[96],"delays":[98],"that":[99],"is":[103,119],"able":[104],"tolerate,":[106],"as":[107,109],"well":[108],"ultimate":[111],"error.":[117],"presence":[122],"uncertainties":[124],"value":[127],"point.":[130]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":15},{"year":2023,"cited_by_count":11},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":1}],"updated_date":"2026-03-08T08:50:53.379069","created_date":"2025-10-10T00:00:00"}