{"id":"https://openalex.org/W2291445828","doi":"https://doi.org/10.1109/cdc.2015.7403173","title":"On linearized stability of differential repetitive processes and iterative learning control","display_name":"On linearized stability of differential repetitive processes and iterative learning control","publication_year":2015,"publication_date":"2015-12-01","ids":{"openalex":"https://openalex.org/W2291445828","doi":"https://doi.org/10.1109/cdc.2015.7403173","mag":"2291445828"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2015.7403173","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2015.7403173","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 54th IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-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/A5030738821","display_name":"Berk Alt\u0131n","orcid":"https://orcid.org/0000-0002-0385-8745"},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan\u2013Ann Arbor","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Berk Altin","raw_affiliation_strings":["Department of Electrical Engineering and Computer Science, University of Michigan, Ann Arbor, MI, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Computer Science, University of Michigan, Ann Arbor, MI, USA","institution_ids":["https://openalex.org/I27837315"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5084847741","display_name":"Kira Barton","orcid":"https://orcid.org/0000-0003-1047-8078"},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan\u2013Ann Arbor","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Kira Barton","raw_affiliation_strings":["Department of Mechanical Engineering, University of Michigan, Ann Arbor, MI, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, University of Michigan, Ann Arbor, MI, USA","institution_ids":["https://openalex.org/I27837315"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5030738821"],"corresponding_institution_ids":["https://openalex.org/I27837315"],"apc_list":null,"apc_paid":null,"fwci":0.3366,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.67367852,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"19","issue":null,"first_page":"6064","last_page":"6069"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11749","display_name":"Iterative Learning 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/T11749","display_name":"Iterative Learning 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/T11525","display_name":"Piezoelectric Actuators and Control","score":0.9621000289916992,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.930899977684021,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/iterative-learning-control","display_name":"Iterative learning control","score":0.7597271203994751},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6922355890274048},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6611466407775879},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6568889617919922},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.6145661473274231},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.585659921169281},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.48891201615333557},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.4823133945465088},{"id":"https://openalex.org/keywords/repetitive-control","display_name":"Repetitive control","score":0.4403989911079407},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.4348777234554291},{"id":"https://openalex.org/keywords/lyapunov-stability","display_name":"Lyapunov stability","score":0.4297226667404175},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.4147120416164398},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3696821331977844},{"id":"https://openalex.org/keywords/control-system","display_name":"Control system","score":0.29946500062942505},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.20602157711982727},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.13951003551483154},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.1289522349834442},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09154489636421204},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07535353302955627},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.07224279642105103}],"concepts":[{"id":"https://openalex.org/C117619785","wikidata":"https://www.wikidata.org/wiki/Q6094414","display_name":"Iterative learning control","level":3,"score":0.7597271203994751},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6922355890274048},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6611466407775879},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6568889617919922},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.6145661473274231},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.585659921169281},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.48891201615333557},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.4823133945465088},{"id":"https://openalex.org/C2780842517","wikidata":"https://www.wikidata.org/wiki/Q7314001","display_name":"Repetitive control","level":3,"score":0.4403989911079407},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.4348777234554291},{"id":"https://openalex.org/C2776829284","wikidata":"https://www.wikidata.org/wiki/Q1341651","display_name":"Lyapunov stability","level":3,"score":0.4297226667404175},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.4147120416164398},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3696821331977844},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.29946500062942505},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.20602157711982727},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.13951003551483154},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.1289522349834442},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09154489636421204},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07535353302955627},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.07224279642105103},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2015.7403173","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2015.7403173","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 54th IEEE Conference on Decision and Control (CDC)","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":12,"referenced_works":["https://openalex.org/W130632564","https://openalex.org/W614117236","https://openalex.org/W1972398801","https://openalex.org/W2036899847","https://openalex.org/W2060781381","https://openalex.org/W2066007195","https://openalex.org/W2073568053","https://openalex.org/W2101494153","https://openalex.org/W2141427736","https://openalex.org/W2149747368","https://openalex.org/W2154529221","https://openalex.org/W6659764413"],"related_works":["https://openalex.org/W1581010919","https://openalex.org/W1557010079","https://openalex.org/W2406853181","https://openalex.org/W2047374070","https://openalex.org/W1985604192","https://openalex.org/W2123906044","https://openalex.org/W2967742911","https://openalex.org/W2017932718","https://openalex.org/W2043058420","https://openalex.org/W2356674317"],"abstract_inverted_index":{"Repetitive":[0],"processes":[1,36],"are":[2],"two":[3,25],"dimensional":[4],"(2D)":[5],"systems":[6],"that":[7,76,104],"arise":[8],"in":[9,19,145],"the":[10,31,45,72,77,88,91,105,131,146],"modeling":[11],"of":[12,27,53,71,79,90,107,136,148],"engineering":[13],"applications":[14],"such":[15],"as":[16],"additive":[17],"manufacturing,":[18],"which":[20],"information":[21],"propagation":[22],"occurs":[23],"along":[24],"axes":[26],"independent":[28],"variables.":[29],"While":[30],"existing":[32,57],"literature":[33],"on":[34,39],"repetitive":[35,61,68],"is":[37],"predominantly":[38],"linear":[40,60,109],"systems,":[41,141],"recent":[42],"work":[43],"highlights":[44],"need":[46],"to":[47,102,130],"develop":[48],"rigorous":[49],"tests":[50],"for":[51],"stability":[52,78,89,120,134],"nonlinear":[54,81,149],"processes.":[55],"Using":[56],"results":[58],"from":[59],"process":[62,69],"theory,":[63],"we":[64,96,126],"establish":[65],"a":[66,80,98,108],"differential":[67],"analogue":[70],"well":[73],"known":[74],"result":[75,129],"feedback":[82],"system":[83],"can":[84,118],"be":[85],"verified":[86],"by":[87],"linearized":[92],"dynamics.":[93],"In":[94],"particular,":[95],"employ":[97],"2D":[99],"Lyapunov":[100],"equation":[101],"show":[103],"feasibility":[106],"matrix":[110],"inequality,":[111],"combined":[112],"with":[113],"2":[114],"small":[115],"gain":[116],"conditions,":[117],"guarantee":[119],"locally":[121],"around":[122],"an":[123],"equilibrium.":[124],"Finally,":[125],"apply":[127],"this":[128],"design":[132],"and":[133,142],"analysis":[135],"iterative":[137],"learning":[138],"control":[139],"(ILC)":[140],"discuss":[143],"implications":[144],"context":[147],"ILC.":[150]},"counts_by_year":[{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}