{"id":"https://openalex.org/W2041707930","doi":"https://doi.org/10.1109/cdc.2014.7039749","title":"Modified balanced truncation preserving ellipsoidal cone-invariance","display_name":"Modified balanced truncation preserving ellipsoidal cone-invariance","publication_year":2014,"publication_date":"2014-12-01","ids":{"openalex":"https://openalex.org/W2041707930","doi":"https://doi.org/10.1109/cdc.2014.7039749","mag":"2041707930"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2014.7039749","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2014.7039749","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"53rd IEEE Conference on Decision and Control","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/A5077723724","display_name":"Christian Gru\u00dfler","orcid":"https://orcid.org/0000-0003-2437-3154"},"institutions":[{"id":"https://openalex.org/I187531555","display_name":"Lund University","ror":"https://ror.org/012a77v79","country_code":"SE","type":"education","lineage":["https://openalex.org/I187531555"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Christian Grussler","raw_affiliation_strings":["Department of Automatic Control, Lund University, Lund, Sweden","Department of Automatic Control, Lund University, Box 118, 22100, Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Automatic Control, Lund University, Lund, Sweden","institution_ids":["https://openalex.org/I187531555"]},{"raw_affiliation_string":"Department of Automatic Control, Lund University, Box 118, 22100, Sweden","institution_ids":["https://openalex.org/I187531555"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5091667471","display_name":"Anders Rantzer","orcid":"https://orcid.org/0000-0001-7118-2786"},"institutions":[{"id":"https://openalex.org/I187531555","display_name":"Lund University","ror":"https://ror.org/012a77v79","country_code":"SE","type":"education","lineage":["https://openalex.org/I187531555"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Anders Rantzer","raw_affiliation_strings":["Department of Automatic Control, Lund University, Lund, Sweden","Department of Automatic Control, Lund University, Box 118, 22100, Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Automatic Control, Lund University, Lund, Sweden","institution_ids":["https://openalex.org/I187531555"]},{"raw_affiliation_string":"Department of Automatic Control, Lund University, Box 118, 22100, Sweden","institution_ids":["https://openalex.org/I187531555"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I187531555"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"50","issue":null,"first_page":"2365","last_page":"2370"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":1.0,"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":1.0,"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":0.9919999837875366,"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/T10305","display_name":"Power System Optimization and Stability","score":0.9896000027656555,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/ellipsoid","display_name":"Ellipsoid","score":0.8545489311218262},{"id":"https://openalex.org/keywords/truncation","display_name":"Truncation (statistics)","score":0.7551093697547913},{"id":"https://openalex.org/keywords/cone","display_name":"Cone (formal languages)","score":0.7053362727165222},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.6889658570289612},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.6589678525924683},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5593850016593933},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3893619477748871},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.38843631744384766},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3706686496734619},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3307352364063263},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3274994194507599},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2379668951034546},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.19579222798347473},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.16594275832176208},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.15310680866241455},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.07107025384902954},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.05842715501785278}],"concepts":[{"id":"https://openalex.org/C57489055","wikidata":"https://www.wikidata.org/wiki/Q190046","display_name":"Ellipsoid","level":2,"score":0.8545489311218262},{"id":"https://openalex.org/C106195933","wikidata":"https://www.wikidata.org/wiki/Q7847935","display_name":"Truncation (statistics)","level":2,"score":0.7551093697547913},{"id":"https://openalex.org/C30014739","wikidata":"https://www.wikidata.org/wiki/Q5159445","display_name":"Cone (formal languages)","level":2,"score":0.7053362727165222},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.6889658570289612},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.6589678525924683},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5593850016593933},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3893619477748871},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.38843631744384766},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3706686496734619},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3307352364063263},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3274994194507599},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2379668951034546},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.19579222798347473},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.16594275832176208},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.15310680866241455},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.07107025384902954},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.05842715501785278},{"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/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/cdc.2014.7039749","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2014.7039749","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"53rd IEEE Conference on Decision and Control","raw_type":"proceedings-article"},{"id":"pmh:oai:generic.eprints.org:963528","is_oa":false,"landing_page_url":"http://publications.eng.cam.ac.uk/963528/","pdf_url":null,"source":{"id":"https://openalex.org/S4406922847","display_name":"Cambridge University Engineering Department Publications Database","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Conference or Workshop Item"},{"id":"pmh:oai:lup.lub.lu.se:65b748a2-a694-4734-ab73-3aabdf2ea308","is_oa":false,"landing_page_url":"https://lup.lub.lu.se/record/4926679","pdf_url":null,"source":{"id":"https://openalex.org/S4306400536","display_name":"Lund University Publications (Lund University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I187531555","host_organization_name":"Lund University","host_organization_lineage":["https://openalex.org/I187531555"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/conferencePaper"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W314209163","https://openalex.org/W1500921805","https://openalex.org/W1534430411","https://openalex.org/W1551480811","https://openalex.org/W1589744690","https://openalex.org/W1965838222","https://openalex.org/W1966992674","https://openalex.org/W1984714339","https://openalex.org/W1991579213","https://openalex.org/W2003772019","https://openalex.org/W2006083528","https://openalex.org/W2021317570","https://openalex.org/W2030682750","https://openalex.org/W2064733273","https://openalex.org/W2073540225","https://openalex.org/W2074004009","https://openalex.org/W2086732621","https://openalex.org/W2088636284","https://openalex.org/W2088872157","https://openalex.org/W2128834174","https://openalex.org/W2132210216","https://openalex.org/W2151914729","https://openalex.org/W2152665065","https://openalex.org/W2160835412","https://openalex.org/W2182283877","https://openalex.org/W3021376274","https://openalex.org/W6669008922","https://openalex.org/W6685689283"],"related_works":["https://openalex.org/W2005485125","https://openalex.org/W2390718407","https://openalex.org/W1986006778","https://openalex.org/W2034124193","https://openalex.org/W2085363807","https://openalex.org/W2379017606","https://openalex.org/W2171970890","https://openalex.org/W2356423988","https://openalex.org/W2156319555","https://openalex.org/W1994539194"],"abstract_inverted_index":{"We":[0,14],"consider":[1],"model":[2,35],"order":[3],"reduction":[4,36],"of":[5,41],"stable":[6],"linear":[7],"systems":[8],"which":[9],"leave":[10],"ellipsoidal":[11],"cones":[12],"invariant.":[13],"show":[15],"how":[16],"balanced":[17],"truncation":[18],"can":[19],"be":[20],"modified":[21],"to":[22,30],"preserve":[23],"cone-invariance.":[24],"Additionally,":[25],"this":[26],"implies":[27],"a":[28,38],"method":[29],"perform":[31],"external":[32],"positivity":[33],"preserving":[34],"for":[37],"large":[39],"class":[40],"systems.":[42]},"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":3}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
