{"id":"https://openalex.org/W1534374568","doi":"https://doi.org/10.23919/ecc.2003.7085184","title":"Singular structure convergence for linear quadratic problems","display_name":"Singular structure convergence for linear quadratic problems","publication_year":2003,"publication_date":"2003-09-01","ids":{"openalex":"https://openalex.org/W1534374568","doi":"https://doi.org/10.23919/ecc.2003.7085184","mag":"1534374568"},"language":"en","primary_location":{"id":"doi:10.23919/ecc.2003.7085184","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc.2003.7085184","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2003 European Control Conference (ECC)","raw_type":"proceedings-article"},"type":"article","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/A5089358089","display_name":"Juan I. Yuz","orcid":"https://orcid.org/0000-0002-9373-7065"},"institutions":[{"id":"https://openalex.org/I78757542","display_name":"University of Newcastle Australia","ror":"https://ror.org/00eae9z71","country_code":"AU","type":"education","lineage":["https://openalex.org/I78757542"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"Juan Yuz","raw_affiliation_strings":["School of Electrical Engineering, The University of Newcastle, Callaghan, NSW, Australia","School of Electrical Engineering, The University of Newcastle, Callaghan NSW 2308, Australia"],"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering, The University of Newcastle, Callaghan, NSW, Australia","institution_ids":["https://openalex.org/I78757542"]},{"raw_affiliation_string":"School of Electrical Engineering, The University of Newcastle, Callaghan NSW 2308, Australia","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012740426","display_name":"Graham C. Goodwin","orcid":"https://orcid.org/0000-0003-2408-212X"},"institutions":[{"id":"https://openalex.org/I78757542","display_name":"University of Newcastle Australia","ror":"https://ror.org/00eae9z71","country_code":"AU","type":"education","lineage":["https://openalex.org/I78757542"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Graham Goodwin","raw_affiliation_strings":["School of Electrical Engineering, The University of Newcastle, Callaghan, NSW, Australia","School of Electrical Engineering, The University of Newcastle, Callaghan NSW 2308, Australia"],"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering, The University of Newcastle, Callaghan, NSW, Australia","institution_ids":["https://openalex.org/I78757542"]},{"raw_affiliation_string":"School of Electrical Engineering, The University of Newcastle, Callaghan NSW 2308, Australia","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5081693379","display_name":"Arie Feuer","orcid":null},"institutions":[{"id":"https://openalex.org/I174306211","display_name":"Technion \u2013 Israel Institute of Technology","ror":"https://ror.org/03qryx823","country_code":"IL","type":"education","lineage":["https://openalex.org/I174306211"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Arie Feuer","raw_affiliation_strings":["Department of Electrical Engineering, The Technion, Haifa, Israel","Department of Electrical Engineering, The Technion, Haifa, 32000 Israel"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, The Technion, Haifa, Israel","institution_ids":["https://openalex.org/I174306211"]},{"raw_affiliation_string":"Department of Electrical Engineering, The Technion, Haifa, 32000 Israel","institution_ids":["https://openalex.org/I174306211"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5003370497","display_name":"Jos\u00e9 A. De Don\u00e1","orcid":"https://orcid.org/0000-0002-6880-3227"},"institutions":[{"id":"https://openalex.org/I78757542","display_name":"University of Newcastle Australia","ror":"https://ror.org/00eae9z71","country_code":"AU","type":"education","lineage":["https://openalex.org/I78757542"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Jose De Dona","raw_affiliation_strings":["School of Electrical Engineering, The University of Newcastle, Callaghan, NSW, Australia","School of Electrical Engineering, The University of Newcastle, Callaghan NSW 2308, Australia"],"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering, The University of Newcastle, Callaghan, NSW, Australia","institution_ids":["https://openalex.org/I78757542"]},{"raw_affiliation_string":"School of Electrical Engineering, The University of Newcastle, Callaghan NSW 2308, Australia","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5089358089"],"corresponding_institution_ids":["https://openalex.org/I78757542"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.04445856,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1561","last_page":"1566"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9965000152587891,"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"}},"topics":[{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9965000152587891,"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"}},{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.9945999979972839,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T12879","display_name":"Distributed Sensor Networks and Detection Algorithms","score":0.9933000206947327,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/countable-set","display_name":"Countable set","score":0.795933187007904},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6885344982147217},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6653655171394348},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.6056894659996033},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.513673722743988},{"id":"https://openalex.org/keywords/singular-solution","display_name":"Singular solution","score":0.5114116072654724},{"id":"https://openalex.org/keywords/finite-set","display_name":"Finite set","score":0.49350059032440186},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.4785338342189789},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4679160416126251},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3537117838859558},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3284080922603607},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.2974661588668823},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.23721110820770264},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08674827218055725}],"concepts":[{"id":"https://openalex.org/C110729354","wikidata":"https://www.wikidata.org/wiki/Q185478","display_name":"Countable set","level":2,"score":0.795933187007904},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6885344982147217},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6653655171394348},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.6056894659996033},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.513673722743988},{"id":"https://openalex.org/C135909967","wikidata":"https://www.wikidata.org/wiki/Q4338245","display_name":"Singular solution","level":2,"score":0.5114116072654724},{"id":"https://openalex.org/C162392398","wikidata":"https://www.wikidata.org/wiki/Q272404","display_name":"Finite set","level":2,"score":0.49350059032440186},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.4785338342189789},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4679160416126251},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3537117838859558},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3284080922603607},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2974661588668823},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.23721110820770264},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08674827218055725},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.23919/ecc.2003.7085184","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc.2003.7085184","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2003 European Control Conference (ECC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.4300000071525574}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W124815405","https://openalex.org/W1507925093","https://openalex.org/W1753749337","https://openalex.org/W1814021024","https://openalex.org/W1851980379","https://openalex.org/W1975748889","https://openalex.org/W2024285710","https://openalex.org/W2056021135","https://openalex.org/W2060759257","https://openalex.org/W2074682866","https://openalex.org/W2096747271","https://openalex.org/W2100134099","https://openalex.org/W2107221565","https://openalex.org/W2139964148","https://openalex.org/W2154993399"],"related_works":["https://openalex.org/W4299610791","https://openalex.org/W2012835417","https://openalex.org/W2790017930","https://openalex.org/W2147301465","https://openalex.org/W3125024600","https://openalex.org/W1580691401","https://openalex.org/W4287117439","https://openalex.org/W2083799093","https://openalex.org/W4298287189","https://openalex.org/W2377639019"],"abstract_inverted_index":{"This":[0],"paper":[1],"considers":[2],"the":[3,16,20,34,41,46],"singular":[4,38],"structure":[5],"for":[6],"sampled":[7],"data":[8],"LQ":[9],"problems":[10],"of":[11,37,40],"continuous":[12,51],"linear":[13],"systems,":[14],"and":[15,45],"asymptotic":[17],"behaviour":[18],"when":[19],"sampling":[21],"rate":[22],"is":[23,29],"increased.":[24],"We":[25],"show":[26],"that":[27],"there":[28],"a":[30],"natural":[31],"convergence":[32],"between":[33],"finite":[35],"set":[36,49],"values":[39],"discrete":[42],"time":[43],"problem,":[44],"(infinite)":[47],"countable":[48],"in":[50],"time.":[52]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
