{"id":"https://openalex.org/W1602319119","doi":"https://doi.org/10.23919/ecc.2001.7075996","title":"Closed-loop shaping by analytic functions with a bounded degree","display_name":"Closed-loop shaping by analytic functions with a bounded degree","publication_year":2001,"publication_date":"2001-09-01","ids":{"openalex":"https://openalex.org/W1602319119","doi":"https://doi.org/10.23919/ecc.2001.7075996","mag":"1602319119"},"language":"en","primary_location":{"id":"doi:10.23919/ecc.2001.7075996","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc.2001.7075996","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2001 European Control Conference (ECC)","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/A5076961688","display_name":"Ryozo Nagamune","orcid":"https://orcid.org/0000-0002-9416-5564"},"institutions":[{"id":"https://openalex.org/I86987016","display_name":"KTH Royal Institute of Technology","ror":"https://ror.org/026vcq606","country_code":"SE","type":"education","lineage":["https://openalex.org/I86987016"]}],"countries":["SE"],"is_corresponding":true,"raw_author_name":"Ryozo Nagamune","raw_affiliation_strings":["Division of Optimization and Systems Theory, Royal Institute of Technology, SE 100 44 Stockholm, Sweden","Division of Optimization and Systems Theory, Royal Institute of Technology, SE-100 44 Stockholm, Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Division of Optimization and Systems Theory, Royal Institute of Technology, SE 100 44 Stockholm, Sweden","institution_ids":["https://openalex.org/I86987016"]},{"raw_affiliation_string":"Division of Optimization and Systems Theory, Royal Institute of Technology, SE-100 44 Stockholm, Sweden","institution_ids":["https://openalex.org/I86987016"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5076961688"],"corresponding_institution_ids":["https://openalex.org/I86987016"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.13756614,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"722","last_page":"726"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9990000128746033,"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"}},"topics":[{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9990000128746033,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.9965999722480774,"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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9919999837875366,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.7700077295303345},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.6125190258026123},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.6011099815368652},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5990437865257263},{"id":"https://openalex.org/keywords/weighting","display_name":"Weighting","score":0.5823593139648438},{"id":"https://openalex.org/keywords/rational-function","display_name":"Rational function","score":0.5742511749267578},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5250482559204102},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4108315408229828},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.38254910707473755},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.35684734582901},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.32476258277893066},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.28787142038345337},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2509310841560364},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.19738462567329407},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.16673067212104797},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10607597231864929},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.06946605443954468}],"concepts":[{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.7700077295303345},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.6125190258026123},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.6011099815368652},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5990437865257263},{"id":"https://openalex.org/C183115368","wikidata":"https://www.wikidata.org/wiki/Q856577","display_name":"Weighting","level":2,"score":0.5823593139648438},{"id":"https://openalex.org/C75190567","wikidata":"https://www.wikidata.org/wiki/Q41237","display_name":"Rational function","level":2,"score":0.5742511749267578},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5250482559204102},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4108315408229828},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.38254910707473755},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.35684734582901},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.32476258277893066},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.28787142038345337},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2509310841560364},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.19738462567329407},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.16673067212104797},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10607597231864929},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.06946605443954468},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","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/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"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:10.23919/ecc.2001.7075996","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc.2001.7075996","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2001 European Control Conference (ECC)","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":9,"referenced_works":["https://openalex.org/W1504633463","https://openalex.org/W1588998206","https://openalex.org/W1590577697","https://openalex.org/W1593028398","https://openalex.org/W2076571643","https://openalex.org/W2077088183","https://openalex.org/W2121117794","https://openalex.org/W2125368842","https://openalex.org/W2170060163"],"related_works":["https://openalex.org/W2180954594","https://openalex.org/W2052835778","https://openalex.org/W2049003611","https://openalex.org/W2127804977","https://openalex.org/W2108418243","https://openalex.org/W164103134","https://openalex.org/W2787352659","https://openalex.org/W1970611213","https://openalex.org/W2326935216","https://openalex.org/W2383860647"],"abstract_inverted_index":{"This":[0],"paper":[1],"proposes":[2],"a":[3,34,39,45,53,57,82],"new":[4],"technique":[5,14],"for":[6,21],"frequency":[7,67],"shaping":[8,62],"of":[9,41,64,74],"the":[10,28,65,72,75],"closed-loop":[11,66],"system.":[12],"The":[13,48],"does":[15],"not":[16],"involve":[17],"any":[18],"weighting":[19],"function":[20,37],"shaping,":[22],"which":[23],"is":[24],"often":[25],"used":[26],"in":[27,60,85],"conventional":[29,83],"H\u221econtrol":[30],"theory,":[31],"but":[32],"selects":[33],"desirable":[35],"analytic":[36],"from":[38],"set":[40],"H\u221esuboptimal":[42],"solutions":[43],"with":[44,52,81],"bounded":[46],"degree.":[47],"Nevanlinna-Pick":[49],"interpolation":[50],"theory":[51],"degree":[54],"bound":[55],"plays":[56],"central":[58],"role":[59],"deriving":[61],"strategies":[63],"responses.":[68],"One":[69],"example":[70],"illustrates":[71],"efficiency":[73],"proposed":[76],"method":[77,84],"by":[78],"comparing":[79],"it":[80],"H\u221econtrol.":[86]},"counts_by_year":[],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}