{"id":"https://openalex.org/W2971491467","doi":"https://doi.org/10.1109/codit.2019.8820696","title":"Fixed Point Computation by Exponentiating Linear Operators","display_name":"Fixed Point Computation by Exponentiating Linear Operators","publication_year":2019,"publication_date":"2019-04-01","ids":{"openalex":"https://openalex.org/W2971491467","doi":"https://doi.org/10.1109/codit.2019.8820696","mag":"2971491467"},"language":"en","primary_location":{"id":"doi:10.1109/codit.2019.8820696","is_oa":false,"landing_page_url":"https://doi.org/10.1109/codit.2019.8820696","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 6th International Conference on Control, Decision and Information Technologies (CoDIT)","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/A5078257526","display_name":"Asma Mansouri","orcid":"https://orcid.org/0000-0003-1392-634X"},"institutions":[{"id":"https://openalex.org/I151295451","display_name":"Universit\u00e9 de Perpignan","ror":"https://ror.org/03am2jy38","country_code":"FR","type":"education","lineage":["https://openalex.org/I151295451"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Asma Mansouri","raw_affiliation_strings":["University of Perpignan Via Domitia, LAboratoire de Math??matique et PhySique, Perpignan, France"],"affiliations":[{"raw_affiliation_string":"University of Perpignan Via Domitia, LAboratoire de Math??matique et PhySique, Perpignan, France","institution_ids":["https://openalex.org/I151295451"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057608137","display_name":"Matthieu Martel","orcid":"https://orcid.org/0000-0002-6238-9651"},"institutions":[{"id":"https://openalex.org/I151295451","display_name":"Universit\u00e9 de Perpignan","ror":"https://ror.org/03am2jy38","country_code":"FR","type":"education","lineage":["https://openalex.org/I151295451"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Matthieu Martel","raw_affiliation_strings":["University of Perpignan Via Domitia, LAboratoire de Math??matique et PhySique, Perpignan, France"],"affiliations":[{"raw_affiliation_string":"University of Perpignan Via Domitia, LAboratoire de Math??matique et PhySique, Perpignan, France","institution_ids":["https://openalex.org/I151295451"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5112868077","display_name":"Oana Silvia Serea","orcid":null},"institutions":[{"id":"https://openalex.org/I151295451","display_name":"Universit\u00e9 de Perpignan","ror":"https://ror.org/03am2jy38","country_code":"FR","type":"education","lineage":["https://openalex.org/I151295451"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Oana Silvia Serea","raw_affiliation_strings":["University of Perpignan Via Domitia, LAboratoire de Math??matique et PhySique, Perpignan, France"],"affiliations":[{"raw_affiliation_string":"University of Perpignan Via Domitia, LAboratoire de Math??matique et PhySique, Perpignan, France","institution_ids":["https://openalex.org/I151295451"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5078257526"],"corresponding_institution_ids":["https://openalex.org/I151295451"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.13796421,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"4","issue":null,"first_page":"1096","last_page":"1102"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9797999858856201,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9797999858856201,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11777","display_name":"Fixed Point Theorems Analysis","score":0.9793999791145325,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9675999879837036,"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/exponentiation","display_name":"Exponentiation","score":0.8269988298416138},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.6278629899024963},{"id":"https://openalex.org/keywords/iterated-function","display_name":"Iterated function","score":0.5859873294830322},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.5385514497756958},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5346274375915527},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.44625478982925415},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.42534157633781433},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.42413339018821716},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.42258960008621216},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4178404211997986},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.38217276334762573},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3753593862056732},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08140966296195984},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07000604271888733}],"concepts":[{"id":"https://openalex.org/C81539297","wikidata":"https://www.wikidata.org/wiki/Q33456","display_name":"Exponentiation","level":2,"score":0.8269988298416138},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.6278629899024963},{"id":"https://openalex.org/C140479938","wikidata":"https://www.wikidata.org/wiki/Q5254619","display_name":"Iterated function","level":2,"score":0.5859873294830322},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.5385514497756958},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5346274375915527},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.44625478982925415},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.42534157633781433},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.42413339018821716},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.42258960008621216},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4178404211997986},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.38217276334762573},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3753593862056732},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08140966296195984},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07000604271888733},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/codit.2019.8820696","is_oa":false,"landing_page_url":"https://doi.org/10.1109/codit.2019.8820696","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 6th International Conference on Control, Decision and Information Technologies (CoDIT)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W1503756333","https://openalex.org/W1719974439","https://openalex.org/W2019907948","https://openalex.org/W2031207272","https://openalex.org/W2035253385","https://openalex.org/W2039763880","https://openalex.org/W2043100293","https://openalex.org/W2067136705","https://openalex.org/W2081810835","https://openalex.org/W2084556684","https://openalex.org/W2095551467","https://openalex.org/W2116990643","https://openalex.org/W2139270441","https://openalex.org/W2151712763","https://openalex.org/W2165887124","https://openalex.org/W2951472997","https://openalex.org/W3207368409","https://openalex.org/W4210718478","https://openalex.org/W4246069353","https://openalex.org/W4253154731","https://openalex.org/W4253592375","https://openalex.org/W4255475932","https://openalex.org/W4285719527","https://openalex.org/W6750785217"],"related_works":["https://openalex.org/W3082721911","https://openalex.org/W2119606669","https://openalex.org/W2057474768","https://openalex.org/W2002150947","https://openalex.org/W2081997106","https://openalex.org/W4387722500","https://openalex.org/W2005448961","https://openalex.org/W1987841878","https://openalex.org/W2716174782","https://openalex.org/W4242678198"],"abstract_inverted_index":{"In":[0],"this":[1,30,135],"article,":[2],"we":[3,43,58,84,98],"introduce":[4],"a":[5,13,19,66,73,86,91,103,116],"new":[6],"method":[7,36,130],"for":[8,121],"computing":[9],"fixed":[10],"points":[11],"of":[12,15,62,76,94,102,105],"class":[14],"iterated":[16],"functions":[17],"in":[18,69,115,134],"finite":[20],"time,":[21],"by":[22,54],"exponentiating":[23],"linear":[24,63,106,124],"multivalued":[25,123],"operators.":[26,107],"To":[27,89],"better":[28],"illustrate":[29],"approach":[31],"and":[32,40,126],"show":[33],"that":[34,127],"our":[35,110],"can":[37,112],"give":[38],"fast":[39],"accurate":[41],"results,":[42],"have":[44],"chosen":[45],"two":[46],"well-known":[47],"applications":[48],"which":[49],"are":[50],"difficult":[51],"to":[52,65,71],"handle":[53],"usual":[55],"techniques.":[56],"First,":[57],"apply":[59,99],"the":[60,100,128],"exponentiation":[61,101],"operators":[64],"digital":[67],"filter":[68],"order":[70],"get":[72,90],"fine":[74],"approximation":[75],"its":[77,95],"behavior":[78],"at":[79],"an":[80],"arbitrary":[81],"time.":[82],"Second,":[83],"consider":[85],"PID":[87],"controller.":[88],"reliable":[92],"estimate":[93],"control":[96],"function,":[97],"bundle":[104],"Note":[108],"that,":[109],"technique":[111],"be":[113],"applied":[114],"more":[117],"general":[118,129],"setting,":[119],"i.e.":[120],"any":[122],"map":[125],"is":[131],"also":[132],"introduced":[133],"article.":[136]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
