{"id":"https://openalex.org/W3011847636","doi":"https://doi.org/10.1109/cdc40024.2019.9030074","title":"Multivariable analytic interpolation with complexity constraints: A modified Riccati approach","display_name":"Multivariable analytic interpolation with complexity constraints: A modified Riccati approach","publication_year":2019,"publication_date":"2019-12-01","ids":{"openalex":"https://openalex.org/W3011847636","doi":"https://doi.org/10.1109/cdc40024.2019.9030074","mag":"3011847636"},"language":"en","primary_location":{"id":"doi:10.1109/cdc40024.2019.9030074","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc40024.2019.9030074","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 IEEE 58th Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},"type":"preprint","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/A5082357493","display_name":"Yufang Cui","orcid":"https://orcid.org/0000-0002-6354-6778"},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yufang Cui","raw_affiliation_strings":["Department of Automation, Shanghai Jiao Tong University, Shanghai, China"],"affiliations":[{"raw_affiliation_string":"Department of Automation, Shanghai Jiao Tong University, Shanghai, China","institution_ids":["https://openalex.org/I183067930"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5055347602","display_name":"Anders Lindquist","orcid":"https://orcid.org/0000-0002-2681-8383"},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Anders Lindquist","raw_affiliation_strings":["Department of Automation and School of Mathematical Sciences, Shanghai Jiao Tong University, Shanghai, China"],"affiliations":[{"raw_affiliation_string":"Department of Automation and School of Mathematical Sciences, Shanghai Jiao Tong University, Shanghai, China","institution_ids":["https://openalex.org/I183067930"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5082357493"],"corresponding_institution_ids":["https://openalex.org/I183067930"],"apc_list":null,"apc_paid":null,"fwci":0.64258355,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.72233099,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"37","issue":null,"first_page":"764","last_page":"770"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9994999766349792,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9994999766349792,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9948999881744385,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9944999814033508,"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/multivariable-calculus","display_name":"Multivariable calculus","score":0.7217068076133728},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.6041678786277771},{"id":"https://openalex.org/keywords/riccati-equation","display_name":"Riccati equation","score":0.6015617847442627},{"id":"https://openalex.org/keywords/continuation","display_name":"Continuation","score":0.5572512745857239},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5475042462348938},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.5311464071273804},{"id":"https://openalex.org/keywords/algebraic-riccati-equation","display_name":"Algebraic Riccati equation","score":0.4827112853527069},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.45577573776245117},{"id":"https://openalex.org/keywords/homotopy","display_name":"Homotopy","score":0.432143896818161},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3742639422416687},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.324655145406723},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.13993528485298157},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09042853116989136},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.06960940361022949}],"concepts":[{"id":"https://openalex.org/C117312493","wikidata":"https://www.wikidata.org/wiki/Q2035437","display_name":"Multivariable calculus","level":2,"score":0.7217068076133728},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.6041678786277771},{"id":"https://openalex.org/C45473103","wikidata":"https://www.wikidata.org/wiki/Q851503","display_name":"Riccati equation","level":3,"score":0.6015617847442627},{"id":"https://openalex.org/C88626702","wikidata":"https://www.wikidata.org/wiki/Q1128903","display_name":"Continuation","level":2,"score":0.5572512745857239},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5475042462348938},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.5311464071273804},{"id":"https://openalex.org/C13847129","wikidata":"https://www.wikidata.org/wiki/Q4723989","display_name":"Algebraic Riccati equation","level":4,"score":0.4827112853527069},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.45577573776245117},{"id":"https://openalex.org/C5961521","wikidata":"https://www.wikidata.org/wiki/Q746083","display_name":"Homotopy","level":2,"score":0.432143896818161},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3742639422416687},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.324655145406723},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.13993528485298157},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09042853116989136},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.06960940361022949},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C502989409","wikidata":"https://www.wikidata.org/wiki/Q11425","display_name":"Animation","level":2,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc40024.2019.9030074","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc40024.2019.9030074","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 IEEE 58th Conference on Decision and Control (CDC)","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":35,"referenced_works":["https://openalex.org/W264437626","https://openalex.org/W1002571660","https://openalex.org/W1534388827","https://openalex.org/W1563525144","https://openalex.org/W1996404462","https://openalex.org/W2010730829","https://openalex.org/W2017754977","https://openalex.org/W2030352323","https://openalex.org/W2038724174","https://openalex.org/W2055607916","https://openalex.org/W2070896621","https://openalex.org/W2070928644","https://openalex.org/W2082777584","https://openalex.org/W2107561939","https://openalex.org/W2109108213","https://openalex.org/W2119127629","https://openalex.org/W2121117794","https://openalex.org/W2125327144","https://openalex.org/W2125368842","https://openalex.org/W2132328168","https://openalex.org/W2141844446","https://openalex.org/W2157273492","https://openalex.org/W2168017692","https://openalex.org/W2170060163","https://openalex.org/W2186590998","https://openalex.org/W2228132954","https://openalex.org/W2495836911","https://openalex.org/W2702217084","https://openalex.org/W2759246745","https://openalex.org/W2964225617","https://openalex.org/W2972790091","https://openalex.org/W3011847636","https://openalex.org/W3102134837","https://openalex.org/W6631999147","https://openalex.org/W7070413882"],"related_works":["https://openalex.org/W2005019312","https://openalex.org/W2105459831","https://openalex.org/W1546579375","https://openalex.org/W2127238600","https://openalex.org/W2096105566","https://openalex.org/W1563296412","https://openalex.org/W2114791549","https://openalex.org/W16457797","https://openalex.org/W2792258377","https://openalex.org/W1530596433"],"abstract_inverted_index":{"Analytic":[0],"interpolation":[1],"problems":[2],"with":[3],"rationality":[4],"and":[5,14],"derivative":[6],"constraints":[7],"occur":[8],"in":[9,12,53],"many":[10,47],"applications":[11],"systems":[13],"control.":[15],"In":[16],"this":[17,65],"paper":[18],"we":[19],"present":[20],"a":[21,59],"new":[22,48],"method":[23],"for":[24],"the":[25,34,54],"multivariable":[26],"case,":[27],"which":[28],"generalizes":[29],"our":[30],"previous":[31],"results":[32],"on":[33,70],"scalar":[35],"case.":[36],"This":[37],"turns":[38],"out":[39],"to":[40,57],"be":[41],"quite":[42],"nontrivial,":[43],"as":[44],"it":[45],"poses":[46],"problems.":[49],"A":[50],"basic":[51],"step":[52],"procedure":[55],"is":[56,73],"solve":[58],"Riccati":[60],"type":[61],"matrix":[62],"equation.":[63],"To":[64],"end,":[66],"an":[67],"algorithm":[68],"based":[69],"homotopy":[71],"continuation":[72],"provided.":[74]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}