{"id":"https://openalex.org/W2525370704","doi":"https://doi.org/10.1109/cdc.2016.7799420","title":"Constrained optimal reduced-order models from input/output data","display_name":"Constrained optimal reduced-order models from input/output data","publication_year":2016,"publication_date":"2016-12-01","ids":{"openalex":"https://openalex.org/W2525370704","doi":"https://doi.org/10.1109/cdc.2016.7799420","mag":"2525370704"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2016.7799420","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2016.7799420","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 IEEE 55th Conference on Decision and Control (CDC)","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/A5053775140","display_name":"Giordano Scarciotti","orcid":"https://orcid.org/0000-0001-5807-9004"},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Giordano Scarciotti","raw_affiliation_strings":["Dept. of Electrical and Electronic Engineering, Imperial College London, London, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. of Electrical and Electronic Engineering, Imperial College London, London, UK","institution_ids":["https://openalex.org/I47508984"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067046312","display_name":"Zhong\u2010Ping Jiang","orcid":"https://orcid.org/0000-0002-4868-9359"},"institutions":[{"id":"https://openalex.org/I57206974","display_name":"New York University","ror":"https://ror.org/0190ak572","country_code":"US","type":"education","lineage":["https://openalex.org/I57206974"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Zhong-Ping Jiang","raw_affiliation_strings":["Dept. of Electrical and Computer Engineering, New York University, Brooklyn, NY, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. of Electrical and Computer Engineering, New York University, Brooklyn, NY, USA","institution_ids":["https://openalex.org/I57206974"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5018225150","display_name":"Alessandro Astolfi","orcid":"https://orcid.org/0000-0002-4331-454X"},"institutions":[{"id":"https://openalex.org/I116067653","display_name":"University of Rome Tor Vergata","ror":"https://ror.org/02p77k626","country_code":"IT","type":"education","lineage":["https://openalex.org/I116067653"]},{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB","IT"],"is_corresponding":false,"raw_author_name":"Alessandro Astolfi","raw_affiliation_strings":["DICII, University of Rome \u201cTor Vergata\u201d, Rome, Italy","Dept. of Electrical and Electronic Engineering, Imperial College London, London, UK","DICII, University of Rome \"Tor Vergata\", Rome, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"DICII, University of Rome \u201cTor Vergata\u201d, Rome, Italy","institution_ids":["https://openalex.org/I116067653"]},{"raw_affiliation_string":"Dept. of Electrical and Electronic Engineering, Imperial College London, London, UK","institution_ids":["https://openalex.org/I47508984"]},{"raw_affiliation_string":"DICII, University of Rome \"Tor Vergata\", Rome, Italy","institution_ids":["https://openalex.org/I116067653"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"3","issue":null,"first_page":"7453","last_page":"7458"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9998999834060669,"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":0.9998999834060669,"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/T11372","display_name":"Hydraulic and Pneumatic Systems","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical 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/T11236","display_name":"Control Systems and Identification","score":0.9977999925613403,"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/moment","display_name":"Moment (physics)","score":0.7547905445098877},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.6647866368293762},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.6615849733352661},{"id":"https://openalex.org/keywords/transient","display_name":"Transient (computer programming)","score":0.6495658159255981},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6092669367790222},{"id":"https://openalex.org/keywords/model-order-reduction","display_name":"Model order reduction","score":0.6009197235107422},{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.5311250686645508},{"id":"https://openalex.org/keywords/transient-response","display_name":"Transient response","score":0.5241932272911072},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5235733389854431},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.47888821363449097},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.47807788848876953},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.4311932921409607},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.36492255330085754},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.35722431540489197},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3433965742588043},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.26569122076034546},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.122500479221344},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.07709464430809021}],"concepts":[{"id":"https://openalex.org/C179254644","wikidata":"https://www.wikidata.org/wiki/Q13222844","display_name":"Moment (physics)","level":2,"score":0.7547905445098877},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.6647866368293762},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.6615849733352661},{"id":"https://openalex.org/C2780799671","wikidata":"https://www.wikidata.org/wiki/Q17087362","display_name":"Transient (computer programming)","level":2,"score":0.6495658159255981},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6092669367790222},{"id":"https://openalex.org/C2779277453","wikidata":"https://www.wikidata.org/wiki/Q12202921","display_name":"Model order reduction","level":3,"score":0.6009197235107422},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.5311250686645508},{"id":"https://openalex.org/C85761212","wikidata":"https://www.wikidata.org/wiki/Q1974593","display_name":"Transient response","level":2,"score":0.5241932272911072},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5235733389854431},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.47888821363449097},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.47807788848876953},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.4311932921409607},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36492255330085754},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.35722431540489197},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3433965742588043},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.26569122076034546},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.122500479221344},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.07709464430809021},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","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/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","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/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/cdc.2016.7799420","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2016.7799420","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 IEEE 55th Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},{"id":"pmh:oai:spiral.imperial.ac.uk:10044/1/38599","is_oa":false,"landing_page_url":"http://hdl.handle.net/10044/1/38599","pdf_url":null,"source":{"id":"https://openalex.org/S4306401396","display_name":"Spiral (Imperial College London)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I47508984","host_organization_name":"Imperial College London","host_organization_lineage":["https://openalex.org/I47508984"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE 55th Annual Conference on Decision and Control (CDC)","raw_type":"Conference Paper"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":51,"referenced_works":["https://openalex.org/W178056938","https://openalex.org/W1549926602","https://openalex.org/W1551480811","https://openalex.org/W1746952262","https://openalex.org/W1965324089","https://openalex.org/W1966104103","https://openalex.org/W1966992674","https://openalex.org/W1967332578","https://openalex.org/W1972809999","https://openalex.org/W1984714339","https://openalex.org/W2016701617","https://openalex.org/W2017523431","https://openalex.org/W2028050126","https://openalex.org/W2031371673","https://openalex.org/W2034539682","https://openalex.org/W2045937853","https://openalex.org/W2050840600","https://openalex.org/W2053403497","https://openalex.org/W2062657630","https://openalex.org/W2064733273","https://openalex.org/W2069970858","https://openalex.org/W2070896621","https://openalex.org/W2073990179","https://openalex.org/W2076742685","https://openalex.org/W2080925234","https://openalex.org/W2083557522","https://openalex.org/W2085724310","https://openalex.org/W2099571563","https://openalex.org/W2103960654","https://openalex.org/W2107561939","https://openalex.org/W2113912713","https://openalex.org/W2119627461","https://openalex.org/W2121117794","https://openalex.org/W2125368842","https://openalex.org/W2129736406","https://openalex.org/W2138148446","https://openalex.org/W2147145493","https://openalex.org/W2148439597","https://openalex.org/W2159122878","https://openalex.org/W2344124355","https://openalex.org/W2345791210","https://openalex.org/W2401810419","https://openalex.org/W2464697260","https://openalex.org/W2561321953","https://openalex.org/W2566169986","https://openalex.org/W2605349336","https://openalex.org/W2606887410","https://openalex.org/W6633084492","https://openalex.org/W6637659238","https://openalex.org/W6704479108","https://openalex.org/W7052273657"],"related_works":["https://openalex.org/W1892002403","https://openalex.org/W4309005041","https://openalex.org/W2962746246","https://openalex.org/W1989531755","https://openalex.org/W1967384683","https://openalex.org/W2088123951","https://openalex.org/W2551845725","https://openalex.org/W1668795783","https://openalex.org/W2161271931","https://openalex.org/W2900563273"],"abstract_inverted_index":{"Model":[0],"reduction":[1,28],"by":[2,145],"moment":[3,95],"matching":[4,96],"does":[5],"not":[6],"preserve,":[7],"in":[8,30],"a":[9,58,81,127,131,148],"systematic":[10],"way,":[11],"the":[12,16,23,34,64,68,77,89,98,105,108,111,114,123,141],"transient":[13,69,91],"response":[14,70],"of":[15,25,37,63,67,71,83,107,113,140,147],"system":[17,109,125],"to":[18,80,133],"be":[19,44,134],"reduced,":[20],"thus":[21],"limiting":[22],"use":[24],"this":[26],"model":[27,86,116],"technique":[29],"control":[31,53],"problems.":[32],"With":[33],"final":[35],"goal":[36],"designing":[38],"reduced-order":[39,85,115,136],"models":[40],"which":[41,87],"can":[42],"effectively":[43],"used":[45],"(not":[46],"just":[47],"for":[48,52],"analysis":[49],"but":[50],"also)":[51],"purposes,":[54],"we":[55,120],"determine,":[56],"using":[57],"data-driven":[59],"approach,":[60],"an":[61,72],"estimate":[62],"moments":[65],"and":[66,110,119],"unknown":[73],"system.":[74],"We":[75],"compute":[76],"unique,":[78],"up":[79],"change":[82],"coordinates,":[84],"possesses":[88],"estimated":[90],"and,":[92],"simultaneously,":[93],"achieves":[94],"at":[97],"prescribed":[99],"interpolation":[100],"points.":[101],"The":[102,138],"error":[103],"between":[104],"output":[106,112],"is":[117,126],"minimized":[118],"show":[121],"that":[122],"resulting":[124],"constrained":[128],"optimal":[129],"(in":[130],"sense":[132],"specified)":[135],"model.":[137],"results":[139],"paper":[142],"are":[143],"illustrated":[144],"means":[146],"simple":[149],"numerical":[150],"example.":[151]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":3}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}