{"id":"https://openalex.org/W2782943958","doi":"https://doi.org/10.1109/cdc.2017.8264369","title":"Model reduction by moment matching at isolated singularities for linear systems: A geometric approach","display_name":"Model reduction by moment matching at isolated singularities for linear systems: A geometric approach","publication_year":2017,"publication_date":"2017-12-01","ids":{"openalex":"https://openalex.org/W2782943958","doi":"https://doi.org/10.1109/cdc.2017.8264369","mag":"2782943958"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2017.8264369","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2017.8264369","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 IEEE 56th Annual 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/A5028702911","display_name":"Alberto Padoan","orcid":"https://orcid.org/0000-0003-1597-0395"},"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":"Alberto Padoan","raw_affiliation_strings":["Department of Electrical and Electronic Engineering, Imperial College London, London, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronic Engineering, Imperial College London, London, UK","institution_ids":["https://openalex.org/I47508984"]}]},{"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":["Department of Electrical and Electronic Engineering, Imperial College London, London, UK","Dipartimento di Ingegneria Civile e Ingegneria Informatica, Universit\u00e0 di Roma \u201cTor Vergata\u201d, Rome, Italy","Dipartimento di Ingegneria Civile e Ingegneria Informatica, Universit\u00e0 di Roma \"Tor Vergata\", Rome, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronic Engineering, Imperial College London, London, UK","institution_ids":["https://openalex.org/I47508984"]},{"raw_affiliation_string":"Dipartimento di Ingegneria Civile e Ingegneria Informatica, Universit\u00e0 di Roma \u201cTor Vergata\u201d, Rome, Italy","institution_ids":["https://openalex.org/I116067653"]},{"raw_affiliation_string":"Dipartimento di Ingegneria Civile e Ingegneria Informatica, Universit\u00e0 di Roma \"Tor Vergata\", Rome, Italy","institution_ids":["https://openalex.org/I116067653"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"4807","last_page":"4812"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9994999766349792,"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":0.9994999766349792,"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":0.9986000061035156,"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/T12810","display_name":"Real-time simulation and control systems","score":0.9902999997138977,"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/gravitational-singularity","display_name":"Gravitational singularity","score":0.8095866441726685},{"id":"https://openalex.org/keywords/transfer-function","display_name":"Transfer function","score":0.6440173983573914},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.6186544299125671},{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.5679515600204468},{"id":"https://openalex.org/keywords/moment","display_name":"Moment (physics)","score":0.5345012545585632},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.5294358730316162},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5245587825775146},{"id":"https://openalex.org/keywords/lti-system-theory","display_name":"LTI system theory","score":0.5044032335281372},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.497144490480423},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.4403855800628662},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.41727450489997864},{"id":"https://openalex.org/keywords/model-order-reduction","display_name":"Model order reduction","score":0.4149203896522522},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.41051185131073},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.36090558767318726},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.29177188873291016},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.28849315643310547},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.14604857563972473},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08254164457321167}],"concepts":[{"id":"https://openalex.org/C12843","wikidata":"https://www.wikidata.org/wiki/Q201721","display_name":"Gravitational singularity","level":2,"score":0.8095866441726685},{"id":"https://openalex.org/C81299745","wikidata":"https://www.wikidata.org/wiki/Q334269","display_name":"Transfer function","level":2,"score":0.6440173983573914},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.6186544299125671},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.5679515600204468},{"id":"https://openalex.org/C179254644","wikidata":"https://www.wikidata.org/wiki/Q13222844","display_name":"Moment (physics)","level":2,"score":0.5345012545585632},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.5294358730316162},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5245587825775146},{"id":"https://openalex.org/C87698059","wikidata":"https://www.wikidata.org/wiki/Q1808960","display_name":"LTI system theory","level":3,"score":0.5044032335281372},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.497144490480423},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.4403855800628662},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.41727450489997864},{"id":"https://openalex.org/C2779277453","wikidata":"https://www.wikidata.org/wiki/Q12202921","display_name":"Model order reduction","level":3,"score":0.4149203896522522},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.41051185131073},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.36090558767318726},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.29177188873291016},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.28849315643310547},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.14604857563972473},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08254164457321167},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"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/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/cdc.2017.8264369","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2017.8264369","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 IEEE 56th Annual Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},{"id":"pmh:oai:spiral.imperial.ac.uk:10044/1/51186","is_oa":false,"landing_page_url":"http://hdl.handle.net/10044/1/51186","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":"56th IEEE Conference on Decision and Control","raw_type":"Conference Paper"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","score":0.47999998927116394,"id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W1484683478","https://openalex.org/W1530042124","https://openalex.org/W1551480811","https://openalex.org/W1556970733","https://openalex.org/W1597075609","https://openalex.org/W1639362357","https://openalex.org/W1746952262","https://openalex.org/W2069111276","https://openalex.org/W2103960654","https://openalex.org/W2119627461","https://openalex.org/W2146115574","https://openalex.org/W2152896489","https://openalex.org/W2401810419","https://openalex.org/W2464697260","https://openalex.org/W2783894955","https://openalex.org/W2896329540","https://openalex.org/W3144829920","https://openalex.org/W4243449554","https://openalex.org/W4255256396","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W4387451451","https://openalex.org/W2137300182","https://openalex.org/W2053005959","https://openalex.org/W2064234232","https://openalex.org/W2299538996","https://openalex.org/W4244451378","https://openalex.org/W2027136373","https://openalex.org/W2144143333","https://openalex.org/W75826713","https://openalex.org/W2148059640"],"abstract_inverted_index":{"The":[0,18,84],"model":[1],"reduction":[2],"problem":[3],"for":[4],"continuous-time,":[5],"linear,":[6],"time-invariant":[7],"systems":[8],"is":[9,78,90],"studied":[10],"at":[11,20],"isolated":[12],"singularities":[13],"of":[14,23,36,72,86],"the":[15,24,34,66,73,87],"transfer":[16,25],"function.":[17],"moments":[19],"a":[21,81],"pole":[22],"function":[26],"are":[27],"shown":[28],"to":[29,55],"be":[30],"uniquely":[31],"specified":[32],"by":[33],"solutions":[35],"certain":[37],"Sylvester":[38],"equations":[39],"exploiting":[40],"two":[41],"distinct":[42],"approaches":[43,88],"based":[44],"on":[45,49],"complex":[46],"analysis":[47,71],"and":[48,64],"geometric":[50],"control":[51],"theory.":[52],"This":[53],"allows":[54],"determine":[56],"reduced":[57],"order":[58],"models":[59],"which":[60],"preserve":[61],"given":[62],"poles":[63],"match":[65],"corresponding":[67],"moments.":[68],"An":[69],"in-depth":[70],"assumptions":[74],"underlying":[75],"this":[76],"approach":[77],"provided":[79],"in":[80],"companion":[82],"paper.":[83],"applicability":[85],"developed":[89],"demonstrated":[91],"with":[92],"simple":[93],"academic":[94],"examples.":[95]},"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2017,"cited_by_count":2}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
