{"id":"https://openalex.org/W2062915697","doi":"https://doi.org/10.1137/070707853","title":"Analysis and Design of Unconstrained Nonlinear MPC Schemes for Finite and Infinite Dimensional Systems","display_name":"Analysis and Design of Unconstrained Nonlinear MPC Schemes for Finite and Infinite Dimensional Systems","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W2062915697","doi":"https://doi.org/10.1137/070707853","mag":"2062915697"},"language":"en","primary_location":{"id":"doi:10.1137/070707853","is_oa":false,"landing_page_url":"https://doi.org/10.1137/070707853","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://epub.uni-bayreuth.de/5582/1/gruene_siam_jco_2009.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5054568856","display_name":"Lars Gr\u00fcne","orcid":"https://orcid.org/0000-0002-9331-4097"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Lars Gr\u00fcne","raw_affiliation_strings":["lars.gruene@uni-bayreuth.de#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"lars.gruene@uni-bayreuth.de#TAB#","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5054568856"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":33.8644,"has_fulltext":false,"cited_by_count":190,"citation_normalized_percentile":{"value":0.99700846,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":100},"biblio":{"volume":"48","issue":"2","first_page":"1206","last_page":"1228"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":1.0,"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/T10791","display_name":"Advanced Control Systems Optimization","score":1.0,"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/T10876","display_name":"Fault Detection and Control Systems","score":0.9966999888420105,"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/T11236","display_name":"Control Systems and Identification","score":0.9951000213623047,"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/controllability","display_name":"Controllability","score":0.843770444393158},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7726665735244751},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.7137808799743652},{"id":"https://openalex.org/keywords/model-predictive-control","display_name":"Model predictive control","score":0.6614886522293091},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.6230210065841675},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6099432706832886},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6078859567642212},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5179423689842224},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.47371548414230347},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.43771225214004517},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.4121941328048706},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3363719582557678},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.24813789129257202},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.17931193113327026},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.11312413215637207}],"concepts":[{"id":"https://openalex.org/C48209547","wikidata":"https://www.wikidata.org/wiki/Q1331104","display_name":"Controllability","level":2,"score":0.843770444393158},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7726665735244751},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.7137808799743652},{"id":"https://openalex.org/C172205157","wikidata":"https://www.wikidata.org/wiki/Q1782962","display_name":"Model predictive control","level":3,"score":0.6614886522293091},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.6230210065841675},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6099432706832886},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6078859567642212},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5179423689842224},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.47371548414230347},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.43771225214004517},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.4121941328048706},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3363719582557678},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.24813789129257202},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.17931193113327026},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.11312413215637207},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/070707853","is_oa":false,"landing_page_url":"https://doi.org/10.1137/070707853","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","raw_type":"journal-article"},{"id":"pmh:oai:epub.uni-bayreuth.de:5582","is_oa":true,"landing_page_url":"https://epub.uni-bayreuth.de/5582/1/gruene_siam_jco_2009.pdf","pdf_url":"https://epub.uni-bayreuth.de/5582/1/gruene_siam_jco_2009.pdf","source":{"id":"https://openalex.org/S4306400362","display_name":"EPub Bayreuth (University of Bayreuth)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I54009628","host_organization_name":"University of Bayreuth","host_organization_lineage":["https://openalex.org/I54009628"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:eref.uni-bayreuth.de:63338","is_oa":false,"landing_page_url":"https://eref.uni-bayreuth.de/63338/","pdf_url":null,"source":{"id":"https://openalex.org/S4377196442","display_name":"ERef Bayreuth (University of Bayreuth)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I54009628","host_organization_name":"University of Bayreuth","host_organization_lineage":["https://openalex.org/I54009628"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Artikel in einer Zeitschrift"}],"best_oa_location":{"id":"pmh:oai:epub.uni-bayreuth.de:5582","is_oa":true,"landing_page_url":"https://epub.uni-bayreuth.de/5582/1/gruene_siam_jco_2009.pdf","pdf_url":"https://epub.uni-bayreuth.de/5582/1/gruene_siam_jco_2009.pdf","source":{"id":"https://openalex.org/S4306400362","display_name":"EPub Bayreuth (University of Bayreuth)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I54009628","host_organization_name":"University of Bayreuth","host_organization_lineage":["https://openalex.org/I54009628"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/publishedVersion"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W1963680105","https://openalex.org/W1978956894","https://openalex.org/W1979760373","https://openalex.org/W1992905424","https://openalex.org/W2001041931","https://openalex.org/W2007397583","https://openalex.org/W2009594301","https://openalex.org/W2041109651","https://openalex.org/W2072333675","https://openalex.org/W2080209002","https://openalex.org/W2096164155","https://openalex.org/W2098763209","https://openalex.org/W2110040537","https://openalex.org/W2137435374","https://openalex.org/W2145731676","https://openalex.org/W2161040592","https://openalex.org/W2165545652","https://openalex.org/W2168027532","https://openalex.org/W2300055972","https://openalex.org/W3102923851","https://openalex.org/W3134173561"],"related_works":["https://openalex.org/W2036697162","https://openalex.org/W2332386680","https://openalex.org/W2561315646","https://openalex.org/W2248621902","https://openalex.org/W2003779889","https://openalex.org/W4205698120","https://openalex.org/W4239246781","https://openalex.org/W2542825942","https://openalex.org/W3201620972","https://openalex.org/W2047206873"],"abstract_inverted_index":{"We":[0],"present":[1],"a":[2,84],"technique":[3,19],"for":[4,10,64,75],"computing":[5],"stability":[6,70],"and":[7,29,86],"performance":[8],"bounds":[9],"unconstrained":[11],"nonlinear":[12,65],"model":[13],"predictive":[14],"control":[15],"(MPC)":[16],"schemes.":[17],"The":[18],"relies":[20],"on":[21,49],"controllability":[22],"properties":[23],"of":[24,43,57,71],"the":[25,30,44,50,54,72],"system":[26],"under":[27],"consideration,":[28],"computation":[31],"can":[32],"be":[33],"formulated":[34],"as":[35],"an":[36,87],"optimization":[37,77],"problem":[38],"whose":[39],"complexity":[40],"is":[41],"independent":[42],"state":[45],"space":[46],"dimension.":[47],"Based":[48],"insight":[51],"obtained":[52],"from":[53],"numerical":[55],"solution":[56],"this":[58],"problem,":[59],"we":[60],"derive":[61],"design":[62],"guidelines":[63,80],"MPC":[66],"schemes":[67],"which":[68],"guarantee":[69],"closed":[73],"loop":[74],"small":[76],"horizons.":[78],"These":[79],"are":[81],"illustrated":[82],"by":[83],"finite":[85],"infinite":[88],"dimensional":[89],"example.":[90]},"counts_by_year":[{"year":2026,"cited_by_count":5},{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":11},{"year":2023,"cited_by_count":12},{"year":2022,"cited_by_count":9},{"year":2021,"cited_by_count":20},{"year":2020,"cited_by_count":13},{"year":2019,"cited_by_count":15},{"year":2018,"cited_by_count":12},{"year":2017,"cited_by_count":9},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":10},{"year":2014,"cited_by_count":12},{"year":2013,"cited_by_count":7},{"year":2012,"cited_by_count":18}],"updated_date":"2026-09-02T07:38:04.252551","created_date":"2025-10-10T00:00:00"}