{"id":"https://openalex.org/W2101251844","doi":"https://doi.org/10.1109/tac.2013.2290817","title":"Nu-Gap Model Reduction in the Frequency Domain","display_name":"Nu-Gap Model Reduction in the Frequency Domain","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W2101251844","doi":"https://doi.org/10.1109/tac.2013.2290817","mag":"2101251844"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2013.2290817","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2013.2290817","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://lup.lub.lu.se/search/files/6209412/8083936.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5011097340","display_name":"Aivar Sootla","orcid":"https://orcid.org/0000-0003-4666-4454"},"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":true,"raw_author_name":"Aivar Sootla","raw_affiliation_strings":["Department of Bioengineering, Imperial College London, London, United Kingdom","Dept. of Bioeng., Imperial Coll. London, London, , UK"],"affiliations":[{"raw_affiliation_string":"Department of Bioengineering, Imperial College London, London, United Kingdom","institution_ids":["https://openalex.org/I47508984"]},{"raw_affiliation_string":"Dept. of Bioeng., Imperial Coll. London, London, , UK","institution_ids":["https://openalex.org/I47508984"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5011097340"],"corresponding_institution_ids":["https://openalex.org/I47508984"],"apc_list":null,"apc_paid":null,"fwci":0.4686,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.66394545,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"59","issue":"1","first_page":"228","last_page":"233"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9994000196456909,"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":0.9994000196456909,"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":0.9990000128746033,"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/T12810","display_name":"Real-time simulation and control systems","score":0.9969000220298767,"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/robustness","display_name":"Robustness (evolution)","score":0.7552865743637085},{"id":"https://openalex.org/keywords/frequency-domain","display_name":"Frequency domain","score":0.6649045944213867},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.5909119844436646},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5799004435539246},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.5604180693626404},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5047816038131714},{"id":"https://openalex.org/keywords/semidefinite-programming","display_name":"Semidefinite programming","score":0.4901362359523773},{"id":"https://openalex.org/keywords/frequency-response","display_name":"Frequency response","score":0.4839335083961487},{"id":"https://openalex.org/keywords/transfer-function","display_name":"Transfer function","score":0.45315030217170715},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.4365033507347107},{"id":"https://openalex.org/keywords/robust-control","display_name":"Robust control","score":0.42041367292404175},{"id":"https://openalex.org/keywords/control-system","display_name":"Control system","score":0.3576048016548157},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.31622451543807983},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.29371166229248047},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.14151796698570251},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.10165384411811829},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.10031470656394958}],"concepts":[{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.7552865743637085},{"id":"https://openalex.org/C19118579","wikidata":"https://www.wikidata.org/wiki/Q786423","display_name":"Frequency domain","level":2,"score":0.6649045944213867},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.5909119844436646},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5799004435539246},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.5604180693626404},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5047816038131714},{"id":"https://openalex.org/C101901036","wikidata":"https://www.wikidata.org/wiki/Q2269096","display_name":"Semidefinite programming","level":2,"score":0.4901362359523773},{"id":"https://openalex.org/C8590192","wikidata":"https://www.wikidata.org/wiki/Q1054694","display_name":"Frequency response","level":2,"score":0.4839335083961487},{"id":"https://openalex.org/C81299745","wikidata":"https://www.wikidata.org/wiki/Q334269","display_name":"Transfer function","level":2,"score":0.45315030217170715},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.4365033507347107},{"id":"https://openalex.org/C31531917","wikidata":"https://www.wikidata.org/wiki/Q915157","display_name":"Robust control","level":3,"score":0.42041367292404175},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.3576048016548157},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.31622451543807983},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.29371166229248047},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14151796698570251},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.10165384411811829},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.10031470656394958},{"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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tac.2013.2290817","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2013.2290817","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"},{"id":"pmh:oai:lup.lub.lu.se:2fcfc006-95c1-4ed1-9af0-89508792008a","is_oa":true,"landing_page_url":"https://lup.lub.lu.se/record/2158470","pdf_url":"https://lup.lub.lu.se/search/files/6209412/8083936.pdf","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:lup.lub.lu.se:2fcfc006-95c1-4ed1-9af0-89508792008a","is_oa":true,"landing_page_url":"https://lup.lub.lu.se/record/2158470","pdf_url":"https://lup.lub.lu.se/search/files/6209412/8083936.pdf","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2101251844.pdf"},"referenced_works_count":20,"referenced_works":["https://openalex.org/W1551480811","https://openalex.org/W1588998206","https://openalex.org/W1966992674","https://openalex.org/W1967073510","https://openalex.org/W1974923265","https://openalex.org/W1984714339","https://openalex.org/W2002357820","https://openalex.org/W2048497393","https://openalex.org/W2064733273","https://openalex.org/W2081178351","https://openalex.org/W2089104712","https://openalex.org/W2106901410","https://openalex.org/W2130318261","https://openalex.org/W2140092905","https://openalex.org/W2157328648","https://openalex.org/W2164628203","https://openalex.org/W2182283877","https://openalex.org/W2182510773","https://openalex.org/W2536620281","https://openalex.org/W4244182730"],"related_works":["https://openalex.org/W2004341922","https://openalex.org/W3023180599","https://openalex.org/W2087811809","https://openalex.org/W1496898320","https://openalex.org/W2163861939","https://openalex.org/W2138996551","https://openalex.org/W2162152492","https://openalex.org/W3016740808","https://openalex.org/W1979974723","https://openalex.org/W2010174421"],"abstract_inverted_index":{"The":[0,88,117],"nu-gap":[1,46,58,90,132],"metric":[2,59],"was":[3],"originally":[4],"developed":[5],"to":[6,35,104,108,140],"evaluate":[7],"robustness":[8],"of":[9,23,38,50,64,84,124,142],"a":[10,61,69,151],"plant-controller":[11],"feedback":[12],"loop":[13,26,71,146],"and":[14,29,98,148],"it":[15],"has":[16],"many":[17],"attractive":[18],"properties.":[19],"For":[20],"example,":[21],"performance":[22],"the":[24,39,42,45,57,82,106,114,121,125],"closed":[25,70],"changes":[27],"continuously":[28],"stability":[30],"is":[31,74,81,93,120,138],"robust":[32],"with":[33,130],"respect":[34],"small":[36],"perturbations":[37],"plant":[40],"(or":[41],"controller)":[43],"in":[44,68,77,113,128],"metric.":[47],"In":[48],"light":[49],"these":[51],"properties,":[52],"one":[53],"can":[54],"state":[55],"that":[56],"provides":[60],"good":[62],"measure":[63],"distance":[65],"between":[66],"systems":[67],"setting.":[72],"This":[73,136],"very":[75],"useful":[76],"model":[78,133],"approximation,":[79],"which":[80,102],"focus":[83],"this":[85],"technical":[86],"note.":[87],"presented":[89,126],"approximation":[91,141],"method":[92,107,127],"based":[94],"on":[95,150],"semidefinite":[96],"programming":[97],"frequency":[99],"response":[100],"matching,":[101],"allows":[103],"extend":[105],"account":[109],"for":[110],"frequency-dependent":[111],"weights":[112],"objective":[115],"function.":[116],"frequency-weighted":[118],"extension":[119,137],"major":[122],"advantage":[123],"comparison":[129],"other":[131],"reduction":[134],"methods.":[135],"applied":[139],"controllers":[143],"obtained":[144],"by":[145],"shaping":[147],"illustrated":[149],"numerical":[152],"example.":[153]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
