{"id":"https://openalex.org/W3083291971","doi":"https://doi.org/10.1177/0142331220949733","title":"Model order reduction based on discrete-time Laguerre functions for discrete linear periodic time-varying systems","display_name":"Model order reduction based on discrete-time Laguerre functions for discrete linear periodic time-varying systems","publication_year":2020,"publication_date":"2020-09-04","ids":{"openalex":"https://openalex.org/W3083291971","doi":"https://doi.org/10.1177/0142331220949733","mag":"3083291971"},"language":"en","primary_location":{"id":"doi:10.1177/0142331220949733","is_oa":false,"landing_page_url":"https://doi.org/10.1177/0142331220949733","pdf_url":null,"source":{"id":"https://openalex.org/S24148485","display_name":"Transactions of the Institute of Measurement and Control","issn_l":"0142-3312","issn":["0142-3312","1477-0369"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320017","host_organization_name":"SAGE Publishing","host_organization_lineage":["https://openalex.org/P4310320017"],"host_organization_lineage_names":["SAGE Publishing"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Transactions of the Institute of Measurement and 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/A5002446859","display_name":"Lili Sun","orcid":"https://orcid.org/0000-0001-8557-4246"},"institutions":[{"id":"https://openalex.org/I96908189","display_name":"Xinjiang University","ror":"https://ror.org/059gw8r13","country_code":"CN","type":"education","lineage":["https://openalex.org/I96908189"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Li-Li Sun","raw_affiliation_strings":["College of Mathematics and System Sciences, Xinjiang University, Urumqi, China"],"affiliations":[{"raw_affiliation_string":"College of Mathematics and System Sciences, Xinjiang University, Urumqi, China","institution_ids":["https://openalex.org/I96908189"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100440745","display_name":"Kang Xu","orcid":"https://orcid.org/0000-0002-6946-8635"},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Kang-Li Xu","raw_affiliation_strings":["School of Mathematics and Statistics, Xi\u2019an Jiaotong University, Xi\u2019an, China","School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Xi\u2019an Jiaotong University, Xi\u2019an, China","institution_ids":["https://openalex.org/I87445476"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an, China","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5034372090","display_name":"Yao\u2010Lin Jiang","orcid":"https://orcid.org/0000-0002-5541-1136"},"institutions":[{"id":"https://openalex.org/I96908189","display_name":"Xinjiang University","ror":"https://ror.org/059gw8r13","country_code":"CN","type":"education","lineage":["https://openalex.org/I96908189"]},{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yao-Lin Jiang","raw_affiliation_strings":["College of Mathematics and System Sciences, Xinjiang University, Urumqi, China","School of Mathematics and Statistics, Xi\u2019an Jiaotong University, Xi\u2019an, China","School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an, China"],"affiliations":[{"raw_affiliation_string":"College of Mathematics and System Sciences, Xinjiang University, Urumqi, China","institution_ids":["https://openalex.org/I96908189"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Xi\u2019an Jiaotong University, Xi\u2019an, China","institution_ids":["https://openalex.org/I87445476"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an, China","institution_ids":["https://openalex.org/I87445476"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5034372090"],"corresponding_institution_ids":["https://openalex.org/I87445476","https://openalex.org/I96908189"],"apc_list":null,"apc_paid":null,"fwci":0.6638,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.67805378,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"42","issue":"16","first_page":"3281","last_page":"3289"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9919000267982483,"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"}},{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9894999861717224,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/laguerre-polynomials","display_name":"Laguerre polynomials","score":0.7417396306991577},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.6706411242485046},{"id":"https://openalex.org/keywords/realization","display_name":"Realization (probability)","score":0.624657154083252},{"id":"https://openalex.org/keywords/transfer-function","display_name":"Transfer function","score":0.6189448833465576},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.592607855796814},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.576284646987915},{"id":"https://openalex.org/keywords/fourier-series","display_name":"Fourier series","score":0.5657713413238525},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5450965166091919},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.411952942609787},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3992232084274292},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2193102240562439},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.21347865462303162},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.17471271753311157}],"concepts":[{"id":"https://openalex.org/C108408018","wikidata":"https://www.wikidata.org/wiki/Q1124546","display_name":"Laguerre polynomials","level":2,"score":0.7417396306991577},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.6706411242485046},{"id":"https://openalex.org/C2781089630","wikidata":"https://www.wikidata.org/wiki/Q21856745","display_name":"Realization (probability)","level":2,"score":0.624657154083252},{"id":"https://openalex.org/C81299745","wikidata":"https://www.wikidata.org/wiki/Q334269","display_name":"Transfer function","level":2,"score":0.6189448833465576},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.592607855796814},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.576284646987915},{"id":"https://openalex.org/C207864730","wikidata":"https://www.wikidata.org/wiki/Q179467","display_name":"Fourier series","level":2,"score":0.5657713413238525},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5450965166091919},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.411952942609787},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3992232084274292},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2193102240562439},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.21347865462303162},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.17471271753311157},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1177/0142331220949733","is_oa":false,"landing_page_url":"https://doi.org/10.1177/0142331220949733","pdf_url":null,"source":{"id":"https://openalex.org/S24148485","display_name":"Transactions of the Institute of Measurement and Control","issn_l":"0142-3312","issn":["0142-3312","1477-0369"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320017","host_organization_name":"SAGE Publishing","host_organization_lineage":["https://openalex.org/P4310320017"],"host_organization_lineage_names":["SAGE Publishing"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Transactions of the Institute of Measurement and Control","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G8659213433","display_name":null,"funder_award_id":"61663043","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W110690611","https://openalex.org/W1546625265","https://openalex.org/W1589762097","https://openalex.org/W1838694778","https://openalex.org/W1969263170","https://openalex.org/W1980356947","https://openalex.org/W1982542505","https://openalex.org/W2004870540","https://openalex.org/W2031361192","https://openalex.org/W2039938123","https://openalex.org/W2047282656","https://openalex.org/W2070743872","https://openalex.org/W2075819484","https://openalex.org/W2115791490","https://openalex.org/W2119061398","https://openalex.org/W2124206532","https://openalex.org/W2137240254","https://openalex.org/W2164230312","https://openalex.org/W2170995987","https://openalex.org/W2402479916","https://openalex.org/W2569868543","https://openalex.org/W2593777971","https://openalex.org/W2725055438","https://openalex.org/W2728263058","https://openalex.org/W2734643148","https://openalex.org/W2765678401","https://openalex.org/W2971540972","https://openalex.org/W3005107464","https://openalex.org/W3104834496","https://openalex.org/W3124774395"],"related_works":["https://openalex.org/W2038558186","https://openalex.org/W1515881615","https://openalex.org/W4300143776","https://openalex.org/W2953123469","https://openalex.org/W3118589625","https://openalex.org/W4312374062","https://openalex.org/W4375933407","https://openalex.org/W2537132310","https://openalex.org/W1509854789","https://openalex.org/W3179843615"],"abstract_inverted_index":{"Many":[0],"engineering":[1],"problems":[2],"can":[3,113],"be":[4],"modelled":[5],"as":[6],"linear":[7],"periodic":[8,54,59],"time-varying":[9],"(LPTV)":[10],"systems,":[11],"which":[12],"naturally":[13],"leads":[14],"to":[15,67,91,126],"the":[16,39,43,69,73,77,86,93,98,105,128,131],"need":[17],"for":[18,34],"model":[19,30,79],"order":[20,31,80,111],"reduction":[21,32,81],"of":[22,46,72,108,118,130],"LPTV":[23,36,48,95],"systems.":[24,37],"This":[25],"paper":[26],"investigates":[27],"a":[28,115],"new":[29],"method":[33],"discrete":[35,47,94],"First,":[38],"state-space":[40],"realization":[41],"in":[42,56,97],"Fourier-lifted":[44,75],"form":[45],"system":[49,96],"is":[50,83,89],"constructed":[51],"by":[52],"representing":[53],"matrices":[55],"exponentially":[57],"modulated":[58],"(EMP)":[60],"Fourier":[61],"series.":[62],"By":[63],"using":[64],"Laguerre":[65],"functions":[66,107],"expand":[68],"transfer":[70,106],"function":[71],"resulting":[74],"system,":[76],"corresponding":[78],"algorithm":[82,88],"developed.":[84],"Furthermore,":[85],"proposed":[87,132],"used":[90],"reduce":[92],"standard-lifted":[99],"form.":[100],"Theoretical":[101],"analysis":[102],"indicates":[103],"that":[104],"both":[109],"reduced":[110],"systems":[112],"match":[114],"certain":[116],"number":[117],"moments.":[119],"Finally,":[120],"two":[121],"numerical":[122],"examples":[123],"are":[124],"given":[125],"verify":[127],"effectiveness":[129],"method.":[133]},"counts_by_year":[{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2}],"updated_date":"2026-01-08T20:05:33.558190","created_date":"2025-10-10T00:00:00"}
