{"id":"https://openalex.org/W2163641965","doi":"https://doi.org/10.1109/cdc.2010.5717519","title":"Influence of discretization errors on set-based parameter estimation","display_name":"Influence of discretization errors on set-based parameter estimation","publication_year":2010,"publication_date":"2010-12-01","ids":{"openalex":"https://openalex.org/W2163641965","doi":"https://doi.org/10.1109/cdc.2010.5717519","mag":"2163641965"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2010.5717519","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2010.5717519","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"49th IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://pureportal.coventry.ac.uk/en/publications/c03681ea-c96a-4f77-a5a4-0a692707e4ee","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5011859209","display_name":"Philipp Rumschinski","orcid":"https://orcid.org/0000-0002-7870-0504"},"institutions":[{"id":"https://openalex.org/I95793202","display_name":"Otto-von-Guericke-Universit\u00e4t Magdeburg","ror":"https://ror.org/00ggpsq73","country_code":"DE","type":"education","lineage":["https://openalex.org/I95793202"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Philipp Rumschinski","raw_affiliation_strings":["Institute for Automation Engineering, Otto-von-Guericke University Magdeburg, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Automation Engineering, Otto-von-Guericke University Magdeburg, Germany","institution_ids":["https://openalex.org/I95793202"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010862024","display_name":"Dina Shona Laila","orcid":"https://orcid.org/0000-0002-9424-3921"},"institutions":[{"id":"https://openalex.org/I205051169","display_name":"Kingston University","ror":"https://ror.org/05bbqza97","country_code":"GB","type":"education","lineage":["https://openalex.org/I205051169"]},{"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":"Dina Shona-Laila","raw_affiliation_strings":["Imperial College London, Kingston University, UK","Kingston University Imperial College London, United Kingdom"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Imperial College London, Kingston University, UK","institution_ids":["https://openalex.org/I205051169","https://openalex.org/I47508984"]},{"raw_affiliation_string":"Kingston University Imperial College London, United Kingdom","institution_ids":["https://openalex.org/I205051169","https://openalex.org/I47508984"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028716413","display_name":"Steffen Borchers","orcid":null},"institutions":[{"id":"https://openalex.org/I95793202","display_name":"Otto-von-Guericke-Universit\u00e4t Magdeburg","ror":"https://ror.org/00ggpsq73","country_code":"DE","type":"education","lineage":["https://openalex.org/I95793202"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Steffen Borchers","raw_affiliation_strings":["Institute for Automation Engineering, Otto-von-Guericke University Magdeburg, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Automation Engineering, Otto-von-Guericke University Magdeburg, Germany","institution_ids":["https://openalex.org/I95793202"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5040485515","display_name":"Rolf Findeisen","orcid":"https://orcid.org/0000-0002-9112-5946"},"institutions":[{"id":"https://openalex.org/I95793202","display_name":"Otto-von-Guericke-Universit\u00e4t Magdeburg","ror":"https://ror.org/00ggpsq73","country_code":"DE","type":"education","lineage":["https://openalex.org/I95793202"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Rolf Findeisen","raw_affiliation_strings":["Institute for Automation Engineering, Otto-von-Guericke University Magdeburg, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Automation Engineering, Otto-von-Guericke University Magdeburg, Germany","institution_ids":["https://openalex.org/I95793202"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.3331,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.94433605,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"40","issue":null,"first_page":"296","last_page":"301"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9975000023841858,"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":0.9975000023841858,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9970999956130981,"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/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9850999712944031,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.9071817398071289},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6209084987640381},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5895681977272034},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.583324134349823},{"id":"https://openalex.org/keywords/estimation-theory","display_name":"Estimation theory","score":0.5473601222038269},{"id":"https://openalex.org/keywords/focus","display_name":"Focus (optics)","score":0.521072268486023},{"id":"https://openalex.org/keywords/euler-method","display_name":"Euler method","score":0.49246296286582947},{"id":"https://openalex.org/keywords/eulers-formula","display_name":"Euler's formula","score":0.4676121473312378},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.46625104546546936},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.45194485783576965},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.4352016746997833},{"id":"https://openalex.org/keywords/discretization-error","display_name":"Discretization error","score":0.4349808692932129},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4119831919670105},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.31710296869277954},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1271476447582245}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.9071817398071289},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6209084987640381},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5895681977272034},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.583324134349823},{"id":"https://openalex.org/C167928553","wikidata":"https://www.wikidata.org/wiki/Q1376021","display_name":"Estimation theory","level":2,"score":0.5473601222038269},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.521072268486023},{"id":"https://openalex.org/C75380026","wikidata":"https://www.wikidata.org/wiki/Q868454","display_name":"Euler method","level":3,"score":0.49246296286582947},{"id":"https://openalex.org/C62884695","wikidata":"https://www.wikidata.org/wiki/Q184871","display_name":"Euler's formula","level":2,"score":0.4676121473312378},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46625104546546936},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45194485783576965},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.4352016746997833},{"id":"https://openalex.org/C126148662","wikidata":"https://www.wikidata.org/wiki/Q3890355","display_name":"Discretization error","level":3,"score":0.4349808692932129},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4119831919670105},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.31710296869277954},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1271476447582245},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"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/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","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}],"mesh":[],"locations_count":10,"locations":[{"id":"doi:10.1109/cdc.2010.5717519","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2010.5717519","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"49th IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},{"id":"pmh:oai:eprints.soton.ac.uk:353703","is_oa":false,"landing_page_url":"https://eprints.soton.ac.uk/353703/1/stamp.jsp_arnumber_3D05717519_26tag_3D1","pdf_url":null,"source":{"id":"https://openalex.org/S4306401019","display_name":"ePrints Soton (University of Southampton)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I43439940","host_organization_name":"University of Southampton","host_organization_lineage":["https://openalex.org/I43439940"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"Conference or Workshop Item"},{"id":"pmh:oai:edoc.mpg.de:569891","is_oa":false,"landing_page_url":"http://edoc.mpg.de/569891","pdf_url":null,"source":{"id":"https://openalex.org/S4406922265","display_name":"Max Planck Institute for Plasma Physics","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":"Proceedings of the 49th IEEE Conference on Decision and Control","raw_type":"Conference-Paper"},{"id":"pmh:oai:eprints.kingston.ac.uk:16670","is_oa":false,"landing_page_url":"http://eprints.kingston.ac.uk/id/eprint/16670/","pdf_url":null,"source":null,"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:escidoc.org:escidoc:1755685","is_oa":false,"landing_page_url":"http://hdl.handle.net/11858/00-001M-0000-0013-8E62-A","pdf_url":null,"source":{"id":"https://openalex.org/S7407052962","display_name":"Max Planck Digital Library","issn_l":null,"issn":[],"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":"info:eu-repo/semantics/conferenceObject"},{"id":"pmh:oai:escidoc.org:escidoc:2555139","is_oa":false,"landing_page_url":"http://hdl.handle.net/21.11116/0000-0000-C7CC-A","pdf_url":null,"source":{"id":"https://openalex.org/S7407052962","display_name":"Max Planck Digital Library","issn_l":null,"issn":[],"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":"info:eu-repo/semantics/conferenceObject"},{"id":"pmh:oai:escidoc.org:escidoc:2555167","is_oa":false,"landing_page_url":"http://hdl.handle.net/21.11116/0000-0000-C7A4-6","pdf_url":null,"source":{"id":"https://openalex.org/S7407052962","display_name":"Max Planck Digital Library","issn_l":null,"issn":[],"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":"info:eu-repo/semantics/lecture"},{"id":"pmh:oai:http://curve.coventry.ac.uk/open/p/oai:a1a655c1-072d-45d5-abea-0d390bd17d81/1","is_oa":false,"landing_page_url":"http://curve.coventry.ac.uk/open/items/a1a655c1-072d-45d5-abea-0d390bd17d81/1","pdf_url":null,"source":{"id":"https://openalex.org/S4306401989","display_name":"Coventry University Open Collections (Coventry university)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I73417466","host_organization_name":"Coventry University","host_organization_lineage":["https://openalex.org/I73417466"],"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_item,paper - published"},{"id":"pmh:oai:pure.atira.dk:openaire/c03681ea-c96a-4f77-a5a4-0a692707e4ee","is_oa":true,"landing_page_url":"https://pureportal.coventry.ac.uk/en/publications/c03681ea-c96a-4f77-a5a4-0a692707e4ee","pdf_url":null,"source":{"id":"https://openalex.org/S4306402411","display_name":"Pure (Coventry University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I73417466","host_organization_name":"Coventry University","host_organization_lineage":["https://openalex.org/I73417466"],"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":"Rumschinski, P, Laila, D S, Borchers, S & Findeisen, R 2011, 'Influence of discretization errors on set-based parameter estimation', Paper presented at IEEE Conference on Decision and Control, Atlanta, United States, 15/12/10 - 17/12/10 pp. 296-301. https://doi.org/10.1109/CDC.2010.5717519","raw_type":"info:eu-repo/semantics/conferenceObject"},{"id":"pmh:oai:pure.atira.dk:publications/c03681ea-c96a-4f77-a5a4-0a692707e4ee","is_oa":true,"landing_page_url":"https://pureportal.coventry.ac.uk/en/publications/influence-of-discretization-errors-on-setbased-parameter-estimation(c03681ea-c96a-4f77-a5a4-0a692707e4ee).html","pdf_url":null,"source":{"id":"https://openalex.org/S4306402411","display_name":"Pure (Coventry University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I73417466","host_organization_name":"Coventry University","host_organization_lineage":["https://openalex.org/I73417466"],"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":"Rumschinski, P, Laila, D S, Borchers, S & Findeisen, R 2011, 'Influence of discretization errors on set-based parameter estimation', Paper presented at IEEE Conference on Decision and Control, Atlanta, United States, 15/12/10 - 17/12/10 pp. 296-301. https://doi.org/10.1109/CDC.2010.5717519","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":{"id":"pmh:oai:pure.atira.dk:openaire/c03681ea-c96a-4f77-a5a4-0a692707e4ee","is_oa":true,"landing_page_url":"https://pureportal.coventry.ac.uk/en/publications/c03681ea-c96a-4f77-a5a4-0a692707e4ee","pdf_url":null,"source":{"id":"https://openalex.org/S4306402411","display_name":"Pure (Coventry University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I73417466","host_organization_name":"Coventry University","host_organization_lineage":["https://openalex.org/I73417466"],"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":"Rumschinski, P, Laila, D S, Borchers, S & Findeisen, R 2011, 'Influence of discretization errors on set-based parameter estimation', Paper presented at IEEE Conference on Decision and Control, Atlanta, United States, 15/12/10 - 17/12/10 pp. 296-301. https://doi.org/10.1109/CDC.2010.5717519","raw_type":"info:eu-repo/semantics/conferenceObject"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W199107780","https://openalex.org/W582265575","https://openalex.org/W1532162288","https://openalex.org/W1535429593","https://openalex.org/W1575978816","https://openalex.org/W1699920107","https://openalex.org/W1967073510","https://openalex.org/W1967184028","https://openalex.org/W1967344706","https://openalex.org/W1994833872","https://openalex.org/W2017310153","https://openalex.org/W2021674783","https://openalex.org/W2055993677","https://openalex.org/W2143560398","https://openalex.org/W2164009812","https://openalex.org/W2264795753","https://openalex.org/W2499662517","https://openalex.org/W2787523326","https://openalex.org/W4232303308","https://openalex.org/W4285719527","https://openalex.org/W6608014186","https://openalex.org/W6632030211"],"related_works":["https://openalex.org/W37066597","https://openalex.org/W25733641","https://openalex.org/W1977553163","https://openalex.org/W1993570899","https://openalex.org/W1555094802","https://openalex.org/W4230197975","https://openalex.org/W3128822846","https://openalex.org/W188298612","https://openalex.org/W2046814020","https://openalex.org/W2028070877"],"abstract_inverted_index":{"In":[0],"this":[1,82],"paper":[2],"we":[3,76],"investigate":[4],"the":[5,24,28,50,55,61,68,72,93,97,110,122,131,139,142],"relationship":[6,105],"between":[7],"parameter":[8,38],"estimates":[9],"obtained":[10],"for":[11],"a":[12,18,36,89,102,126],"nonlinear":[13,21],"discrete-time":[14],"(DT)":[15],"approximation":[16],"of":[17,52,57,60,71,92,106,141],"continuous-time":[19],"(CT)":[20],"model":[22,30,63],"and":[23,109,118],"parameters":[25,59,70],"corresponding":[26],"to":[27,67,80,125,137],"CT":[29,62,111],"itself.":[31],"Preliminary":[32],"results":[33,124],"based":[34,87,100],"on":[35,48,88,101],"set-based":[37],"estimation":[39],"approach":[40],"are":[41,64,135],"proposed.":[42],"The":[43,84],"focus":[44],"is":[45,86,99],"thereby":[46],"directed":[47],"formalizing":[49],"problem":[51],"ensuring":[53],"that":[54],"set":[56],"consistent":[58,69],"also":[65],"related":[66],"DT":[73],"model.":[74,112],"Therefore,":[75],"propose":[77],"two":[78],"approaches":[79],"handle":[81],"problem.":[83],"first":[85],"direct":[90],"treatment":[91],"discretization":[94,108],"error,":[95],"while":[96],"other":[98],"differential":[103],"geometric":[104],"Euler":[107],"Two":[113],"examples,":[114],"one":[115,120],"academic":[116],"example":[117],"another":[119],"applying":[121],"proposed":[123],"well-known":[127],"biological":[128],"process,":[129],"namely":[130],"Michaelis-Menten":[132],"(MM)":[133],"reaction,":[134],"presented":[136],"illustrate":[138],"usefulness":[140],"results.":[143]},"counts_by_year":[{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":2}],"updated_date":"2026-07-02T09:51:11.867554","created_date":"2025-10-10T00:00:00"}