{"id":"https://openalex.org/W2886721598","doi":"https://doi.org/10.23919/acc.2018.8431684","title":"Optimal Hankel Norm Approximation for Continuous-Time Descriptor Systems","display_name":"Optimal Hankel Norm Approximation for Continuous-Time Descriptor Systems","publication_year":2018,"publication_date":"2018-06-01","ids":{"openalex":"https://openalex.org/W2886721598","doi":"https://doi.org/10.23919/acc.2018.8431684","mag":"2886721598"},"language":"en","primary_location":{"id":"doi:10.23919/acc.2018.8431684","is_oa":false,"landing_page_url":"https://doi.org/10.23919/acc.2018.8431684","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 Annual American Control Conference (ACC)","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/A5086377276","display_name":"Xingang Cao","orcid":"https://orcid.org/0000-0003-1482-4388"},"institutions":[{"id":"https://openalex.org/I83019370","display_name":"Eindhoven University of Technology","ror":"https://ror.org/02c2kyt77","country_code":"NL","type":"education","lineage":["https://openalex.org/I83019370"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"X. Cao","raw_affiliation_strings":["Department of Mathematics and Computer Science, Eindhoven University of Technology, the Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Eindhoven University of Technology, the Netherlands","institution_ids":["https://openalex.org/I83019370"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021136264","display_name":"M.B. Saltik","orcid":"https://orcid.org/0000-0003-0623-3692"},"institutions":[{"id":"https://openalex.org/I83019370","display_name":"Eindhoven University of Technology","ror":"https://ror.org/02c2kyt77","country_code":"NL","type":"education","lineage":["https://openalex.org/I83019370"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"M.B. Saltik","raw_affiliation_strings":["Department of Electrical Engineering, Eindhoven University of Technology, the Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Eindhoven University of Technology, the Netherlands","institution_ids":["https://openalex.org/I83019370"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5006584942","display_name":"S. Weiland","orcid":"https://orcid.org/0000-0002-6131-4658"},"institutions":[{"id":"https://openalex.org/I83019370","display_name":"Eindhoven University of Technology","ror":"https://ror.org/02c2kyt77","country_code":"NL","type":"education","lineage":["https://openalex.org/I83019370"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"S. Weiland","raw_affiliation_strings":["Department of Electrical Engineering, Eindhoven University of Technology, the Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Eindhoven University of Technology, the Netherlands","institution_ids":["https://openalex.org/I83019370"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I83019370"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.1222434,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"6409","last_page":"6414"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9998000264167786,"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":0.9998000264167786,"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9983999729156494,"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/observability","display_name":"Observability","score":0.8139326572418213},{"id":"https://openalex.org/keywords/hankel-matrix","display_name":"Hankel matrix","score":0.7291193008422852},{"id":"https://openalex.org/keywords/reachability","display_name":"Reachability","score":0.6952269077301025},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.6443418264389038},{"id":"https://openalex.org/keywords/novelty","display_name":"Novelty","score":0.6325218081474304},{"id":"https://openalex.org/keywords/controllability","display_name":"Controllability","score":0.6165169477462769},{"id":"https://openalex.org/keywords/matrix-norm","display_name":"Matrix norm","score":0.5366684198379517},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5144053101539612},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.5113015174865723},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4116242229938507},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4103895425796509},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.38476675748825073},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3532216548919678},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.33730074763298035},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2128070890903473},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08109584450721741}],"concepts":[{"id":"https://openalex.org/C36299963","wikidata":"https://www.wikidata.org/wiki/Q1369844","display_name":"Observability","level":2,"score":0.8139326572418213},{"id":"https://openalex.org/C25023664","wikidata":"https://www.wikidata.org/wiki/Q1575637","display_name":"Hankel matrix","level":2,"score":0.7291193008422852},{"id":"https://openalex.org/C136643341","wikidata":"https://www.wikidata.org/wiki/Q1361526","display_name":"Reachability","level":2,"score":0.6952269077301025},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.6443418264389038},{"id":"https://openalex.org/C2778738651","wikidata":"https://www.wikidata.org/wiki/Q16546687","display_name":"Novelty","level":2,"score":0.6325218081474304},{"id":"https://openalex.org/C48209547","wikidata":"https://www.wikidata.org/wiki/Q1331104","display_name":"Controllability","level":2,"score":0.6165169477462769},{"id":"https://openalex.org/C92207270","wikidata":"https://www.wikidata.org/wiki/Q939253","display_name":"Matrix norm","level":3,"score":0.5366684198379517},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5144053101539612},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.5113015174865723},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4116242229938507},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4103895425796509},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.38476675748825073},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3532216548919678},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.33730074763298035},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2128070890903473},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08109584450721741},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C27206212","wikidata":"https://www.wikidata.org/wiki/Q34178","display_name":"Theology","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.23919/acc.2018.8431684","is_oa":false,"landing_page_url":"https://doi.org/10.23919/acc.2018.8431684","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 Annual American Control Conference (ACC)","raw_type":"proceedings-article"},{"id":"pmh:oai:pure.tue.nl:publications/1828200d-367e-4d09-91fe-7310a8b44227","is_oa":false,"landing_page_url":"https://research.tue.nl/en/publications/1828200d-367e-4d09-91fe-7310a8b44227","pdf_url":null,"source":{"id":"https://openalex.org/S4406922641","display_name":"TU/e Research Portal","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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Cao, X, Saltik, M B & Weiland, S 2018, Optimal Hankel norm approximation for continuous-time descriptor systems. in 2018 Annual American Control Conference, ACC 2018., 8431684, Institute of Electrical and Electronics Engineers, Piscataway, pp. 6409-6414, 2018 American Control Conference (ACC 2018), Milwaukee, Wisconsin, United States, 27/06/18. https://doi.org/10.23919/ACC.2018.8431684","raw_type":"info:eu-repo/semantics/conferenceObject"},{"id":"pmh:903451","is_oa":false,"landing_page_url":"http://library.tue.nl/csp/dare/LinkToRepository.csp?recordnumber=903451","pdf_url":null,"source":{"id":"https://openalex.org/S4406922641","display_name":"TU/e Research Portal","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":null},{"id":"pmh:oai:library.tue.nl:903451","is_oa":false,"landing_page_url":"http://repository.tue.nl/903451","pdf_url":null,"source":{"id":"https://openalex.org/S4406922641","display_name":"TU/e Research Portal","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":null},{"id":"pmh:tue:oai:pure.tue.nl:publications/1828200d-367e-4d09-91fe-7310a8b44227","is_oa":false,"landing_page_url":"https://research.tue.nl/nl/publications/1828200d-367e-4d09-91fe-7310a8b44227","pdf_url":null,"source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"2018 Annual American Control Conference, ACC 2018, 6409 - 6414","raw_type":"info:eu-repo/semantics/conferencepaper"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W151868298","https://openalex.org/W578411849","https://openalex.org/W1551480811","https://openalex.org/W1983490265","https://openalex.org/W1984714339","https://openalex.org/W2033712589","https://openalex.org/W2060459467","https://openalex.org/W2113449668","https://openalex.org/W2115299644","https://openalex.org/W2153016887","https://openalex.org/W2153132823","https://openalex.org/W2211802523","https://openalex.org/W2292277503","https://openalex.org/W2564802367","https://openalex.org/W2591843631","https://openalex.org/W2605349336","https://openalex.org/W2929218246","https://openalex.org/W2973754827","https://openalex.org/W3101859848","https://openalex.org/W4254671851","https://openalex.org/W6704298589","https://openalex.org/W6761480624","https://openalex.org/W7010594977"],"related_works":["https://openalex.org/W2332386680","https://openalex.org/W1983142522","https://openalex.org/W1986570998","https://openalex.org/W2782529250","https://openalex.org/W2037921533","https://openalex.org/W2508171592","https://openalex.org/W2801563517","https://openalex.org/W2130864543","https://openalex.org/W2068126039","https://openalex.org/W2153544183"],"abstract_inverted_index":{"This":[0],"paper":[1],"discusses":[2],"optimal":[3,87],"Hankel":[4,56,88],"norm":[5,89],"approximations":[6],"(HNA)":[7],"of":[8,54,100],"continuous-time":[9],"descriptor":[10],"systems.":[11],"The":[12],"main":[13],"results":[14],"are":[15,93],"based":[16],"on":[17],"the":[18,21,37,40,45,52,55,60,69,83,86,97,101],"fact":[19],"that":[20],"system":[22,70,84],"can":[23],"be":[24],"decomposed":[25],"into":[26],"a":[27,31,63],"slow":[28],"subsystem":[29],"and":[30,68],"fast":[32,61],"subsystem.":[33],"We":[34],"mainly":[35],"stress":[36],"reduction":[38,77],"for":[39],"subsystems.":[41],"In":[42],"this":[43],"sense,":[44],"novelty":[46],"is":[47,72,79],"two-fold.":[48],"First,":[49],"by":[50,81],"exploring":[51],"structure":[53],"matrix":[57],"associated":[58],"with":[59],"subsystem,":[62],"connection":[64],"between":[65],"reachability,":[66],"observability":[67],"index":[71,76],"discovered.":[73],"Second,":[74],"an":[75],"technique":[78],"proposed":[80],"reducing":[82],"in":[85],"manner.":[90],"Numerical":[91],"examples":[92],"tested":[94],"to":[95],"demonstrate":[96],"theoretical":[98],"aspects":[99],"article.":[102]},"counts_by_year":[{"year":2022,"cited_by_count":2}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}