{"id":"https://openalex.org/W2065178728","doi":"https://doi.org/10.1109/acc.2012.6315680","title":"Adaptive observers with projection operator and L&lt;inf&gt;1&lt;/inf&gt; adaptive controllers for infinite dimensional systems","display_name":"Adaptive observers with projection operator and L&lt;inf&gt;1&lt;/inf&gt; adaptive controllers for infinite dimensional systems","publication_year":2012,"publication_date":"2012-06-01","ids":{"openalex":"https://openalex.org/W2065178728","doi":"https://doi.org/10.1109/acc.2012.6315680","mag":"2065178728"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2012.6315680","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2012.6315680","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 American Control Conference (ACC)","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/A5083858098","display_name":"Vivek Natarajan","orcid":"https://orcid.org/0000-0001-6757-6176"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"V. Natarajan","raw_affiliation_strings":["MechSE Department, University of Illinois, Urbana Champaign, Urbana, IL, USA","MechSE department, University of Illinois at Urbana-Champaign, Urbana, IL 61801 USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"MechSE Department, University of Illinois, Urbana Champaign, Urbana, IL, USA","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"MechSE department, University of Illinois at Urbana-Champaign, Urbana, IL 61801 USA","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5057027658","display_name":"Joseph Bentsman","orcid":"https://orcid.org/0000-0002-7720-4365"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"J. Bentsman","raw_affiliation_strings":["MechSE Department, University of Illinois, Urbana Champaign, Urbana, IL, USA","MechSE department, University of Illinois at Urbana-Champaign, Urbana, IL 61801 USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"MechSE Department, University of Illinois, Urbana Champaign, Urbana, IL, USA","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"MechSE department, University of Illinois at Urbana-Champaign, Urbana, IL 61801 USA","institution_ids":["https://openalex.org/I157725225"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I157725225"],"apc_list":null,"apc_paid":null,"fwci":0.547,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.62984031,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"3002","last_page":"3007"},"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":0.9998999834060669,"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/T11110","display_name":"Stability and Controllability of Differential Equations","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"}},{"id":"https://openalex.org/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.9847999811172485,"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":0.9685999751091003,"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/bounded-function","display_name":"Bounded function","score":0.6508105993270874},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.6188908815383911},{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.6133887767791748},{"id":"https://openalex.org/keywords/adaptive-control","display_name":"Adaptive control","score":0.5729456543922424},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5320573449134827},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5054857730865479},{"id":"https://openalex.org/keywords/heat-equation","display_name":"Heat equation","score":0.4445551335811615},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4393616020679474},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.41708043217658997},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.41190510988235474},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3731766641139984},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.32332026958465576},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.31559836864471436},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3085647225379944},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.23634973168373108},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.20579081773757935},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09709435701370239}],"concepts":[{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6508105993270874},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.6188908815383911},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.6133887767791748},{"id":"https://openalex.org/C107464732","wikidata":"https://www.wikidata.org/wiki/Q235781","display_name":"Adaptive control","level":3,"score":0.5729456543922424},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5320573449134827},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5054857730865479},{"id":"https://openalex.org/C202787564","wikidata":"https://www.wikidata.org/wiki/Q6510488","display_name":"Heat equation","level":2,"score":0.4445551335811615},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4393616020679474},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.41708043217658997},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.41190510988235474},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3731766641139984},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.32332026958465576},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.31559836864471436},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3085647225379944},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.23634973168373108},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.20579081773757935},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09709435701370239},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/acc.2012.6315680","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2012.6315680","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 American Control Conference (ACC)","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":10,"referenced_works":["https://openalex.org/W1527296550","https://openalex.org/W1538686203","https://openalex.org/W1965921794","https://openalex.org/W1969807376","https://openalex.org/W1987699016","https://openalex.org/W2000965646","https://openalex.org/W2146414995","https://openalex.org/W4231017914","https://openalex.org/W6631701805","https://openalex.org/W6681782182"],"related_works":["https://openalex.org/W571281153","https://openalex.org/W2949403936","https://openalex.org/W4301247218","https://openalex.org/W3023806604","https://openalex.org/W2952139525","https://openalex.org/W2129818458","https://openalex.org/W4289551052","https://openalex.org/W4390756076","https://openalex.org/W4243074410","https://openalex.org/W2118232259"],"abstract_inverted_index":{"Adaptive":[0],"observers":[1],"with":[2,19],"projection":[3],"operator":[4,22],"based":[5],"parameter":[6],"update":[7],"laws":[8],"are":[9,74,104,118],"considered":[10],"for":[11,39],"a":[12,108,112],"class":[13],"of":[14,60,70],"linear":[15],"infinite":[16],"dimensional":[17,41],"systems":[18],"bounded":[20],"input":[21],"and":[23,29,58,67,83,95,101,111],"full":[24],"state":[25,100],"measurement":[26],"under":[27],"constant":[28],"time-varying":[30],"matched":[31],"uncertainties.":[32],"The":[33],"L1adaptive":[34],"control":[35,102],"architecture,":[36],"introduced":[37],"recently":[38],"finite":[40],"plants":[42],"to":[43,54,62,87],"provide":[44],"guaranteed":[45],"transient":[46],"performance":[47],"via":[48],"fast":[49],"adaptation,":[50],"is":[51,93],"then":[52],"extended":[53],"this":[55],"class.":[56],"Existence":[57],"uniqueness":[59],"solution":[61,86],"the":[63,71,80,85,88,91,99,116],"closed":[64],"loop":[65],"system":[66],"asymptotic":[68],"decay":[69],"observation":[72],"error":[73],"established.":[75,105],"Under":[76],"certain":[77],"assumptions":[78,117],"on":[79,84,98],"transfer":[81],"function":[82],"Lyapunov":[89],"inequality,":[90],"L1architecture":[92],"analyzed":[94],"uniform":[96],"bounds":[97],"signal":[103],"Two":[106],"examples,":[107],"heat":[109],"equation":[110],"wave":[113],"equation,":[114],"satisfying":[115],"presented.":[119]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}
