{"id":"https://openalex.org/W2793936682","doi":"https://doi.org/10.1109/tac.2018.2802496","title":"Higher Order Tracking Properties of Model Reference Adaptive Control Systems","display_name":"Higher Order Tracking Properties of Model Reference Adaptive Control Systems","publication_year":2018,"publication_date":"2018-02-05","ids":{"openalex":"https://openalex.org/W2793936682","doi":"https://doi.org/10.1109/tac.2018.2802496","mag":"2793936682"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2018.2802496","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2018.2802496","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/A5101640334","display_name":"Gang Tao","orcid":"https://orcid.org/0000-0003-4946-5071"},"institutions":[{"id":"https://openalex.org/I51556381","display_name":"University of Virginia","ror":"https://ror.org/0153tk833","country_code":"US","type":"education","lineage":["https://openalex.org/I51556381"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Gang Tao","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Virginia, VA, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Virginia, VA, USA","institution_ids":["https://openalex.org/I51556381"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100624772","display_name":"Ge Song","orcid":"https://orcid.org/0000-0002-2560-7197"},"institutions":[{"id":"https://openalex.org/I51556381","display_name":"University of Virginia","ror":"https://ror.org/0153tk833","country_code":"US","type":"education","lineage":["https://openalex.org/I51556381"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ge Song","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Virginia, VA, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Virginia, VA, USA","institution_ids":["https://openalex.org/I51556381"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5101640334"],"corresponding_institution_ids":["https://openalex.org/I51556381"],"apc_list":null,"apc_paid":null,"fwci":1.8393,"has_fulltext":false,"cited_by_count":33,"citation_normalized_percentile":{"value":0.85795909,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"63","issue":"11","first_page":"3912","last_page":"3918"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9998000264167786,"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/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9998000264167786,"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/T11749","display_name":"Iterative Learning Control Systems","score":0.9990000128746033,"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":0.9969000220298767,"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/order","display_name":"Order (exchange)","score":0.4439226984977722},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3560243546962738},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3459705114364624},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2745583951473236}],"concepts":[{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4439226984977722},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3560243546962738},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3459705114364624},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2745583951473236},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tac.2018.2802496","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2018.2802496","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":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W29763100","https://openalex.org/W47171462","https://openalex.org/W130083205","https://openalex.org/W219729528","https://openalex.org/W648594167","https://openalex.org/W1564089118","https://openalex.org/W1572161815","https://openalex.org/W1611538460","https://openalex.org/W1887006513","https://openalex.org/W2019013735","https://openalex.org/W2020048913","https://openalex.org/W2039416625","https://openalex.org/W2047993072","https://openalex.org/W2067603665","https://openalex.org/W2085900874","https://openalex.org/W2090167557","https://openalex.org/W2098894224","https://openalex.org/W2101494153","https://openalex.org/W2117897787","https://openalex.org/W2126732844","https://openalex.org/W2128931525","https://openalex.org/W2195501127","https://openalex.org/W2475498549","https://openalex.org/W4231017914","https://openalex.org/W4292872153","https://openalex.org/W6655693100"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W2390279801","https://openalex.org/W2358668433","https://openalex.org/W2376932109","https://openalex.org/W2001405890","https://openalex.org/W2382290278","https://openalex.org/W2478288626","https://openalex.org/W2350741829","https://openalex.org/W2530322880","https://openalex.org/W1596801655"],"abstract_inverted_index":{"It":[0],"is":[1,71],"well":[2],"known":[3],"that":[4,28,73,91],"for":[5,127],"a":[6,20,43,133],"linear":[7],"time-invariant":[8],"plant":[9,30,85],"whose":[10],"transfer":[11],"function":[12],"has":[13,104],"relative":[14,51],"degree":[15,52],"n*":[16],"and":[17,146],"stable":[18,44],"zeros,":[19],"model":[21,46],"reference":[22,45],"adaptive":[23,144],"control":[24,148],"(MRAC)":[25],"system":[26,47,89,136],"ensures":[27,90],"the":[29,35,49,75,81,84,92,105],"output":[31,36,154],"y(t)":[32,97],"asymptotically":[33],"tracks":[34],"y":[37,60,99],"<sub":[38,55,61,100,113],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[39,56,62,101,114,118,122],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">m</sub>":[40,63,102],"(t)":[41,103],"of":[42,48,83,143],"same":[50,76],"n*:":[53],"lim":[54,112],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">t\u2192\u221e</sub>":[57,115],"(y(t)":[58],"-":[59,98],"(t))":[64],"=":[65,96,125,129],"0.":[66],"In":[67],"this":[68,159],"note,":[69],"it":[70],"shown":[72],"under":[74],"MRAC":[77,88,135],"design":[78],"conditions":[79],"without":[80],"knowledge":[82],"parameters,":[86],"an":[87],"tracking":[93,147],"error":[94],"e(t)":[95],"stronger":[106],"higher":[107],"order":[108],"convergence":[109],"die(t)":[110],"property:":[111],"(d":[116],"<sup":[117,121],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">i</sup>":[119,123],"e(t))/(dt":[120],")":[124],"0,":[126],"i":[128],"0,1,...,":[130],"n*-1.":[131],"Such":[132],"new":[134,141],"property":[137],"leads":[138],"to":[139],"several":[140],"results":[142],"stabilization":[145],"using":[149],"either":[150],"state":[151],"feedback":[152],"or":[153],"feedback,":[155],"as":[156],"clarified":[157],"in":[158],"paper.":[160]},"counts_by_year":[{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":9},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
