{"id":"https://openalex.org/W1991045935","doi":"https://doi.org/10.1080/00207729808929591","title":"A model reduction method of 2D systems","display_name":"A model reduction method of 2D systems","publication_year":1998,"publication_date":"1998-09-01","ids":{"openalex":"https://openalex.org/W1991045935","doi":"https://doi.org/10.1080/00207729808929591","mag":"1991045935"},"language":"en","primary_location":{"id":"doi:10.1080/00207729808929591","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207729808929591","pdf_url":null,"source":{"id":"https://openalex.org/S129640837","display_name":"International Journal of Systems Science","issn_l":"0020-7721","issn":["0020-7721","1464-5319"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Systems Science","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/A5042899678","display_name":"Hisashi Kando","orcid":null},"institutions":[{"id":"https://openalex.org/I197274945","display_name":"Nagoya Institute of Technology","ror":"https://ror.org/055yf1005","country_code":"JP","type":"education","lineage":["https://openalex.org/I197274945"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"HISASHI KANDO","raw_affiliation_strings":["Department of Electrical and Computer Engineering , Nagoya Institute of Technology , Gokiso, Showa, Nagoya, 466, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering , Nagoya Institute of Technology , Gokiso, Showa, Nagoya, 466, Japan","institution_ids":["https://openalex.org/I197274945"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060394229","display_name":"TATUYA WATANABE","orcid":null},"institutions":[{"id":"https://openalex.org/I875722105","display_name":"Chubu Electric Power (Japan)","ror":"https://ror.org/02n7mrn32","country_code":"JP","type":"company","lineage":["https://openalex.org/I875722105"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"TATUYA WATANABE","raw_affiliation_strings":["Chubu Electric Power Co. Inc"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Chubu Electric Power Co. Inc","institution_ids":["https://openalex.org/I875722105"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111584194","display_name":"Hiroyuki Ukai","orcid":null},"institutions":[{"id":"https://openalex.org/I197274945","display_name":"Nagoya Institute of Technology","ror":"https://ror.org/055yf1005","country_code":"JP","type":"education","lineage":["https://openalex.org/I197274945"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"HIROYUKI UKAI","raw_affiliation_strings":["Department of Electrical and Computer Engineering , Nagoya Institute of Technology , Gokiso, Showa, Nagoya, 466, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering , Nagoya Institute of Technology , Gokiso, Showa, Nagoya, 466, Japan","institution_ids":["https://openalex.org/I197274945"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103232533","display_name":"Yoshifumi Morita","orcid":"https://orcid.org/0009-0001-9665-4425"},"institutions":[{"id":"https://openalex.org/I4210113483","display_name":"National Institute of Technology, Gifu College","ror":"https://ror.org/025b2hx26","country_code":"JP","type":"education","lineage":["https://openalex.org/I4210113483","https://openalex.org/I4210120810"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"YOSHIFUMI MORITA","raw_affiliation_strings":["Department of Electronic Control Engineering , Gifu National College of Technology"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electronic Control Engineering , Gifu National College of Technology","institution_ids":["https://openalex.org/I4210113483"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.6459,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.65858709,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"29","issue":"9","first_page":"989","last_page":"1005"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9998000264167786,"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":0.9998000264167786,"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/T12810","display_name":"Real-time simulation and control systems","score":0.9980999827384949,"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/T11416","display_name":"Numerical methods for differential equations","score":0.991599977016449,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6968491077423096},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.6336880922317505},{"id":"https://openalex.org/keywords/singular-perturbation","display_name":"Singular perturbation","score":0.628430962562561},{"id":"https://openalex.org/keywords/lyapunov-equation","display_name":"Lyapunov equation","score":0.5984247326850891},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5516492128372192},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5074872374534607},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.5048128366470337},{"id":"https://openalex.org/keywords/infinite-impulse-response","display_name":"Infinite impulse response","score":0.49312207102775574},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.44919276237487793},{"id":"https://openalex.org/keywords/digital-filter","display_name":"Digital filter","score":0.31550341844558716},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.21487683057785034},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.19050419330596924},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.18434685468673706},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.14539480209350586},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.10049304366111755},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.08860623836517334}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6968491077423096},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.6336880922317505},{"id":"https://openalex.org/C165160513","wikidata":"https://www.wikidata.org/wiki/Q7524249","display_name":"Singular perturbation","level":2,"score":0.628430962562561},{"id":"https://openalex.org/C25854792","wikidata":"https://www.wikidata.org/wiki/Q1028945","display_name":"Lyapunov equation","level":4,"score":0.5984247326850891},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5516492128372192},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5074872374534607},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.5048128366470337},{"id":"https://openalex.org/C183816354","wikidata":"https://www.wikidata.org/wiki/Q665617","display_name":"Infinite impulse response","level":4,"score":0.49312207102775574},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.44919276237487793},{"id":"https://openalex.org/C36390408","wikidata":"https://www.wikidata.org/wiki/Q1163067","display_name":"Digital filter","level":3,"score":0.31550341844558716},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.21487683057785034},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.19050419330596924},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.18434685468673706},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14539480209350586},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.10049304366111755},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.08860623836517334},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207729808929591","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207729808929591","pdf_url":null,"source":{"id":"https://openalex.org/S129640837","display_name":"International Journal of Systems Science","issn_l":"0020-7721","issn":["0020-7721","1464-5319"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Systems Science","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":40,"referenced_works":["https://openalex.org/W632941928","https://openalex.org/W1515224583","https://openalex.org/W1533155545","https://openalex.org/W1582825494","https://openalex.org/W1587890916","https://openalex.org/W1603022741","https://openalex.org/W1768820320","https://openalex.org/W1993245229","https://openalex.org/W2010740413","https://openalex.org/W2014710861","https://openalex.org/W2016258745","https://openalex.org/W2019262091","https://openalex.org/W2031772420","https://openalex.org/W2032269908","https://openalex.org/W2051394667","https://openalex.org/W2055581502","https://openalex.org/W2063006086","https://openalex.org/W2065077478","https://openalex.org/W2072718550","https://openalex.org/W2072964625","https://openalex.org/W2090023037","https://openalex.org/W2112952521","https://openalex.org/W2114140055","https://openalex.org/W2117205574","https://openalex.org/W2127661172","https://openalex.org/W2132150310","https://openalex.org/W2139117407","https://openalex.org/W2143511555","https://openalex.org/W2150555744","https://openalex.org/W2155728152","https://openalex.org/W2166180798","https://openalex.org/W2166803481","https://openalex.org/W2167706531","https://openalex.org/W2171074980","https://openalex.org/W2312834382","https://openalex.org/W3117259891","https://openalex.org/W4213303927","https://openalex.org/W4285719527","https://openalex.org/W4291439952","https://openalex.org/W4298290699"],"related_works":["https://openalex.org/W2067519269","https://openalex.org/W2349796700","https://openalex.org/W1511779429","https://openalex.org/W2383986032","https://openalex.org/W2810377961","https://openalex.org/W2030955003","https://openalex.org/W2374426356","https://openalex.org/W1977987201","https://openalex.org/W2059628530","https://openalex.org/W1527963436"],"abstract_inverted_index":{"A":[0],"new":[1],"model":[2,25],"reduction":[3],"method":[4,20],"for":[5,21,58],"2D":[6,22,50,66,85],"discrete-time":[7],"systems":[8],"via":[9],"the":[10,17,35,59,76],"singular":[11],"perturbation":[12],"approach":[13],"is":[14,26,42,53,69,89],"studied.":[15],"First,":[16],"boundary":[18],"layer":[19],"non-separable":[23],"Roesser":[24],"newly":[27],"formulated,":[28],"and":[29,55],"an":[30],"iterative":[31],"algorithm":[32,47],"to":[33,48,74],"calculate":[34],"asymptotic":[36],"solutions":[37],"based":[38,63],"on":[39,64],"reduced-order":[40],"models":[41],"proposed.":[43],"Second,":[44],"a":[45,56,81],"computation":[46],"solve":[49],"Lyapunov":[51,60,67],"equations":[52,68],"developed":[54],"criterion":[57],"stability":[61],"test":[62],"low-order":[65],"provided.":[70],"Finally,":[71],"in":[72],"order":[73],"indicate":[75],"effectiveness":[77],"of":[78,84],"this":[79],"method,":[80],"design":[82],"example":[83],"IIR":[86],"digital":[87],"filters":[88],"given.":[90]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}