{"id":"https://openalex.org/W4210512795","doi":"https://doi.org/10.1109/cdc45484.2021.9683209","title":"Accurate Approximate Regulation of Nonlinear Delay Differential Control Systems","display_name":"Accurate Approximate Regulation of Nonlinear Delay Differential Control Systems","publication_year":2021,"publication_date":"2021-12-14","ids":{"openalex":"https://openalex.org/W4210512795","doi":"https://doi.org/10.1109/cdc45484.2021.9683209"},"language":"en","primary_location":{"id":"doi:10.1109/cdc45484.2021.9683209","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc45484.2021.9683209","pdf_url":null,"source":{"id":"https://openalex.org/S4363607724","display_name":"2021 60th IEEE Conference on Decision and Control (CDC)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 60th IEEE Conference on Decision and Control (CDC)","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/A5074141344","display_name":"Eugenio Aulisa","orcid":"https://orcid.org/0000-0002-1057-2198"},"institutions":[{"id":"https://openalex.org/I12315562","display_name":"Texas Tech University","ror":"https://ror.org/0405mnx93","country_code":"US","type":"education","lineage":["https://openalex.org/I12315562"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"E. Aulisa","raw_affiliation_strings":["Mathematics and Statistics, Texas Tech University, Lubbock, TX, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematics and Statistics, Texas Tech University, Lubbock, TX, USA","institution_ids":["https://openalex.org/I12315562"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102791907","display_name":"John A. Burns","orcid":"https://orcid.org/0000-0003-1840-927X"},"institutions":[{"id":"https://openalex.org/I859038795","display_name":"Virginia Tech","ror":"https://ror.org/02smfhw86","country_code":"US","type":"education","lineage":["https://openalex.org/I859038795"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"J. A. Burns","raw_affiliation_strings":["ICAM, Virginia Tech, Blacksburg, VA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ICAM, Virginia Tech, Blacksburg, VA","institution_ids":["https://openalex.org/I859038795"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085969777","display_name":"D.S. Gilliam","orcid":"https://orcid.org/0000-0002-5416-6191"},"institutions":[{"id":"https://openalex.org/I12315562","display_name":"Texas Tech University","ror":"https://ror.org/0405mnx93","country_code":"US","type":"education","lineage":["https://openalex.org/I12315562"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"D. S. Gilliam","raw_affiliation_strings":["Mathematics and Statistics, Texas Tech University, Lubbock, TX, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematics and Statistics, Texas Tech University, Lubbock, TX, USA","institution_ids":["https://openalex.org/I12315562"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5057872436","display_name":"Sai Tej Paruchuri","orcid":"https://orcid.org/0000-0003-2372-3888"},"institutions":[{"id":"https://openalex.org/I859038795","display_name":"Virginia Tech","ror":"https://ror.org/02smfhw86","country_code":"US","type":"education","lineage":["https://openalex.org/I859038795"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"S. Paruchuri","raw_affiliation_strings":["ICAM, Virginia Tech, Blacksbur, VA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ICAM, Virginia Tech, Blacksbur, VA","institution_ids":["https://openalex.org/I859038795"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.45,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.58629369,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"422","last_page":"427"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9994000196456909,"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9994000196456909,"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":0.9973999857902527,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9966999888420105,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"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":0.7703738212585449},{"id":"https://openalex.org/keywords/cascade","display_name":"Cascade","score":0.7142213582992554},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6210454702377319},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6000421047210693},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.5578991770744324},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.5433678030967712},{"id":"https://openalex.org/keywords/tracking-error","display_name":"Tracking error","score":0.5356591939926147},{"id":"https://openalex.org/keywords/disturbance","display_name":"Disturbance (geology)","score":0.47354692220687866},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.46368828415870667},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.4484180212020874},{"id":"https://openalex.org/keywords/tracking","display_name":"Tracking (education)","score":0.4404478669166565},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.43133363127708435},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.42846202850341797},{"id":"https://openalex.org/keywords/control-system","display_name":"Control system","score":0.41905277967453003},{"id":"https://openalex.org/keywords/control-engineering","display_name":"Control engineering","score":0.374767929315567},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.30433014035224915},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2920858860015869},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.16782912611961365},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.12491145730018616}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7703738212585449},{"id":"https://openalex.org/C34146451","wikidata":"https://www.wikidata.org/wiki/Q5048094","display_name":"Cascade","level":2,"score":0.7142213582992554},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6210454702377319},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6000421047210693},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.5578991770744324},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.5433678030967712},{"id":"https://openalex.org/C183356978","wikidata":"https://www.wikidata.org/wiki/Q1779213","display_name":"Tracking error","level":3,"score":0.5356591939926147},{"id":"https://openalex.org/C2777601987","wikidata":"https://www.wikidata.org/wiki/Q5283581","display_name":"Disturbance (geology)","level":2,"score":0.47354692220687866},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.46368828415870667},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.4484180212020874},{"id":"https://openalex.org/C2775936607","wikidata":"https://www.wikidata.org/wiki/Q466845","display_name":"Tracking (education)","level":2,"score":0.4404478669166565},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.43133363127708435},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.42846202850341797},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.41905277967453003},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.374767929315567},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.30433014035224915},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2920858860015869},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.16782912611961365},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.12491145730018616},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C19417346","wikidata":"https://www.wikidata.org/wiki/Q7922","display_name":"Pedagogy","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"score":0.0},{"id":"https://openalex.org/C42360764","wikidata":"https://www.wikidata.org/wiki/Q83588","display_name":"Chemical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","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/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc45484.2021.9683209","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc45484.2021.9683209","pdf_url":null,"source":{"id":"https://openalex.org/S4363607724","display_name":"2021 60th IEEE Conference on Decision and Control (CDC)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 60th IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.699999988079071,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320307116","display_name":"United Technologies","ror":"https://ror.org/02mfrg180"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W71558303","https://openalex.org/W1538686203","https://openalex.org/W1978186749","https://openalex.org/W1985130162","https://openalex.org/W1999830806","https://openalex.org/W2018160219","https://openalex.org/W2038794261","https://openalex.org/W2056285867","https://openalex.org/W2061736019","https://openalex.org/W2078378679","https://openalex.org/W2079871064","https://openalex.org/W2131875888","https://openalex.org/W2149087996","https://openalex.org/W2149862906","https://openalex.org/W2484016060","https://openalex.org/W2487928071","https://openalex.org/W2793876446","https://openalex.org/W2932002582","https://openalex.org/W3122556876","https://openalex.org/W4230955141","https://openalex.org/W4320560979","https://openalex.org/W6664735574","https://openalex.org/W6790274908"],"related_works":["https://openalex.org/W2153719181","https://openalex.org/W1971748923","https://openalex.org/W1566155057","https://openalex.org/W2060986072","https://openalex.org/W4394650907","https://openalex.org/W2052574922","https://openalex.org/W64588465","https://openalex.org/W154364797","https://openalex.org/W2038604956","https://openalex.org/W3120641340"],"abstract_inverted_index":{"In":[0,198,221],"this":[1,47,68,151,222],"paper":[2],"we":[3,143],"present":[4],"an":[5,57,120,136],"approximate":[6],"controller":[7,92,206],"design":[8,93],"methodology":[9,164],"for":[10,76,159,171,217],"tracking/disturbance-rejection":[11],"problems":[12],"governed":[13],"by":[14,33],"nonlinear":[15],"delay":[16],"differential":[17],"control":[18,69],"systems.":[19,173],"The":[20,82,105],"method":[21],"considered":[22],"here":[23],"is":[24,42,84],"a":[25,37,90,95,189],"version":[26],"of":[27,39,56,89,97,119,135,162,167,196],"the":[28,34,54,87,117,125,128,155,160,163,168,181,194,204,207,210,214,218,227],"practical":[29],"regulation":[30,50],"approach":[31,48],"developed":[32],"authors":[35],"in":[36,124,154,176,193,203],"series":[38],"articles.":[40],"It":[41],"important":[43],"to":[44,49,59,64,86],"note":[45],"that":[46,180],"does":[51],"not":[52],"require":[53],"existence":[55,118],"exo-system":[58],"define":[60],"disturbances":[61],"and":[62,73,79,101,130,165],"signals":[63,132],"be":[65,185],"tracked.":[66],"Therefore,":[67],"law":[70],"enables":[71],"tracking":[72,149,182],"disturbance":[74,80,131],"rejection":[75],"general":[77,172],"reference":[78,129,215],"signals.":[81],"idea":[83],"similar":[85],"inclusion":[88],"cascade":[91,205],"providing":[94],"sequence":[96,195],"increasingly":[98],"more":[99],"accurate":[100],"better":[102],"preforming":[103],"controllers.":[104,197],"underlying":[106],"principle":[107],"derives":[108],"from":[109,209],"well":[110],"known":[111],"geometric":[112],"methods":[113],"which":[114],"rely":[115],"on":[116],"attractive":[121],"invariant":[122],"manifold":[123],"case":[126],"when":[127],"are":[133,144,157,229],"outputs":[134],"autonomous,":[137],"linear,":[138],"neutrally":[139],"stable":[140],"exo-system.":[141],"However,":[142],"able":[145],"accomplish":[146],"high":[147],"performance":[148],"without":[150],"assumption.":[152],"References":[153],"literature":[156],"provided":[158],"history":[161],"proofs":[166],"error":[169,183,208],"estimates":[170],"We":[174],"show,":[175],"our":[177],"included":[178],"example,":[179],"can":[184],"significantly":[186],"enhanced":[187],"using":[188],"single":[190],"extra":[191],"step":[192,202,212,226],"particular,":[199],"at":[200,224],"each":[201,225],"previous":[211],"provides":[213],"signal":[216],"next":[219],"step.":[220],"way,":[223],"errors":[228],"reduced":[230],"geometrically.":[231]},"counts_by_year":[{"year":2023,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}