{"id":"https://openalex.org/W4210820019","doi":"https://doi.org/10.1109/cdc45484.2021.9682950","title":"Optimal control of DAEs with unconstrained terminal costs","display_name":"Optimal control of DAEs with unconstrained terminal costs","publication_year":2021,"publication_date":"2021-12-14","ids":{"openalex":"https://openalex.org/W4210820019","doi":"https://doi.org/10.1109/cdc45484.2021.9682950"},"language":"en","primary_location":{"id":"doi:10.1109/cdc45484.2021.9682950","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc45484.2021.9682950","pdf_url":null,"source":{"id":"https://openalex.org/S4363607724","display_name":"2021 60th IEEE Conference on Decision and Control (CDC)","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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 60th 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://research.rug.nl/en/publications/8966b765-c274-4b20-81ca-353229fe4bba","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5057933991","display_name":"Paul Wijnbergen","orcid":null},"institutions":[{"id":"https://openalex.org/I169381384","display_name":"University of Groningen","ror":"https://ror.org/012p63287","country_code":"NL","type":"education","lineage":["https://openalex.org/I169381384"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Paul Wijnbergen","raw_affiliation_strings":["Bernoulli Institute for Mathematics, Computer Science, and Artificial Intelligence, University of Groningen, Groningen, The Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Bernoulli Institute for Mathematics, Computer Science, and Artificial Intelligence, University of Groningen, Groningen, The Netherlands","institution_ids":["https://openalex.org/I169381384"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5043502547","display_name":"Stephan Trenn","orcid":"https://orcid.org/0000-0002-0947-0282"},"institutions":[{"id":"https://openalex.org/I169381384","display_name":"University of Groningen","ror":"https://ror.org/012p63287","country_code":"NL","type":"education","lineage":["https://openalex.org/I169381384"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Stephan Trenn","raw_affiliation_strings":["Bernoulli Institute for Mathematics, Computer Science, and Artificial Intelligence, University of Groningen, Groningen, The Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Bernoulli Institute for Mathematics, Computer Science, and Artificial Intelligence, University of Groningen, Groningen, The Netherlands","institution_ids":["https://openalex.org/I169381384"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.7381,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.67213115,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"1","issue":null,"first_page":"5275","last_page":"5280"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9998000264167786,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9972000122070312,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9926000237464905,"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/terminal","display_name":"Terminal (telecommunication)","score":0.7152490019798279},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.6640979647636414},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.602070689201355},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.514456033706665},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.482272207736969},{"id":"https://openalex.org/keywords/impulse","display_name":"Impulse (physics)","score":0.45265406370162964},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.45065000653266907},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.45040565729141235},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.44912979006767273},{"id":"https://openalex.org/keywords/linear-quadratic-gaussian-control","display_name":"Linear-quadratic-Gaussian control","score":0.4328969120979309},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.4281827211380005},{"id":"https://openalex.org/keywords/algebraic-equation","display_name":"Algebraic equation","score":0.42033886909484863},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.36084264516830444},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.3001106381416321},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2892301082611084},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.14728716015815735},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.08317691087722778},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.0749242901802063}],"concepts":[{"id":"https://openalex.org/C2779664074","wikidata":"https://www.wikidata.org/wiki/Q3518405","display_name":"Terminal (telecommunication)","level":2,"score":0.7152490019798279},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.6640979647636414},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.602070689201355},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.514456033706665},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.482272207736969},{"id":"https://openalex.org/C70836080","wikidata":"https://www.wikidata.org/wiki/Q837940","display_name":"Impulse (physics)","level":2,"score":0.45265406370162964},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.45065000653266907},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.45040565729141235},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.44912979006767273},{"id":"https://openalex.org/C204495892","wikidata":"https://www.wikidata.org/wiki/Q1798304","display_name":"Linear-quadratic-Gaussian control","level":3,"score":0.4328969120979309},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.4281827211380005},{"id":"https://openalex.org/C23917780","wikidata":"https://www.wikidata.org/wiki/Q50698","display_name":"Algebraic equation","level":3,"score":0.42033886909484863},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.36084264516830444},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.3001106381416321},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2892301082611084},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14728716015815735},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.08317691087722778},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0749242901802063},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"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/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/cdc45484.2021.9682950","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc45484.2021.9682950","pdf_url":null,"source":{"id":"https://openalex.org/S4363607724","display_name":"2021 60th IEEE Conference on Decision and Control (CDC)","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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 60th IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},{"id":"pmh:oai:pure.rug.nl:openaire/8966b765-c274-4b20-81ca-353229fe4bba","is_oa":true,"landing_page_url":"https://research.rug.nl/en/publications/8966b765-c274-4b20-81ca-353229fe4bba","pdf_url":null,"source":{"id":"https://openalex.org/S4306400420","display_name":"University of Groningen research database (University of Groningen / Centre for Information Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I169381384","host_organization_name":"University of Groningen","host_organization_lineage":["https://openalex.org/I169381384"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Wijnbergen, P & Trenn, S 2021, Optimal control of DAEs with unconstrained terminal costs. in 2021 60th IEEE Conference on Decision and Control (CDC)., 9682950, IEEE, pp. 5275-5280, 2021 60th IEEE Conference on Decision and Control (CDC), Austin, TX, United States, 14/12/2021. https://doi.org/10.1109/CDC45484.2021.9682950","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":{"id":"pmh:oai:pure.rug.nl:openaire/8966b765-c274-4b20-81ca-353229fe4bba","is_oa":true,"landing_page_url":"https://research.rug.nl/en/publications/8966b765-c274-4b20-81ca-353229fe4bba","pdf_url":null,"source":{"id":"https://openalex.org/S4306400420","display_name":"University of Groningen research database (University of Groningen / Centre for Information Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I169381384","host_organization_name":"University of Groningen","host_organization_lineage":["https://openalex.org/I169381384"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Wijnbergen, P & Trenn, S 2021, Optimal control of DAEs with unconstrained terminal costs. in 2021 60th IEEE Conference on Decision and Control (CDC)., 9682950, IEEE, pp. 5275-5280, 2021 60th IEEE Conference on Decision and Control (CDC), Austin, TX, United States, 14/12/2021. https://doi.org/10.1109/CDC45484.2021.9682950","raw_type":"info:eu-repo/semantics/publishedVersion"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4264098885","display_name":null,"funder_award_id":"639.032.733","funder_id":"https://openalex.org/F4320321800","funder_display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek"}],"funders":[{"id":"https://openalex.org/F4320321800","display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek","ror":"https://ror.org/04jsz6e67"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W26747998","https://openalex.org/W2031920251","https://openalex.org/W2045447154","https://openalex.org/W2050742360","https://openalex.org/W2074210163","https://openalex.org/W2074512387","https://openalex.org/W2092855029","https://openalex.org/W2098432798","https://openalex.org/W2132814250","https://openalex.org/W2133774887","https://openalex.org/W2137954209","https://openalex.org/W2140986135","https://openalex.org/W2151030225","https://openalex.org/W2161246948","https://openalex.org/W2750569324","https://openalex.org/W2809715396","https://openalex.org/W2893568750","https://openalex.org/W2943324284","https://openalex.org/W2963469600","https://openalex.org/W3046331937","https://openalex.org/W3136549886","https://openalex.org/W3156923026","https://openalex.org/W6679718566"],"related_works":["https://openalex.org/W1999291921","https://openalex.org/W2107169685","https://openalex.org/W2115005925","https://openalex.org/W4245839115","https://openalex.org/W2111439273","https://openalex.org/W1998777431","https://openalex.org/W2101783086","https://openalex.org/W2037500647","https://openalex.org/W2466810109","https://openalex.org/W2619014647"],"abstract_inverted_index":{"This":[0],"paper":[1],"is":[2,33,40,60],"concerned":[3],"with":[4],"the":[5,24,36,55,63,96],"linear":[6],"quadratic":[7,80],"optimal":[8,100],"control":[9],"problem":[10,64],"for":[11,43,95],"impulse":[12],"controllable":[13],"differential":[14],"algebraic":[15],"equations":[16,92],"on":[17],"a":[18,27,78],"bounded":[19],"half":[20],"open":[21],"interval.":[22],"Regarding":[23],"cost":[25,56,81],"functional,":[26],"general":[28],"positive":[29],"semi-definite":[30],"weight":[31],"matrix":[32,91],"considered":[34],"in":[35,88],"terminal":[37],"cost.":[38],"It":[39],"shown":[41,61],"that":[42,53,62,76],"this":[44],"problem,":[45],"there":[46],"generally":[47],"does":[48],"not":[49],"exist":[50],"an":[51,70,73,99],"input":[52,71],"minimizes":[54,77],"functional.":[57,82],"First":[58],"it":[59],"can":[65],"be":[66],"reduced":[67],"to":[68,72],"finding":[69],"index-1":[74],"DAE":[75],"different":[79],"Second,":[83],"necessary":[84],"and":[85],"sufficient":[86],"conditions":[87],"terms":[89],"of":[90,98],"are":[93],"given":[94],"existence":[97],"control.":[101]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
