{"id":"https://openalex.org/W4283832814","doi":"https://doi.org/10.1080/00207721.2022.2093419","title":"Stability of finite horizon optimisation based control without terminal weight","display_name":"Stability of finite horizon optimisation based control without terminal weight","publication_year":2022,"publication_date":"2022-07-05","ids":{"openalex":"https://openalex.org/W4283832814","doi":"https://doi.org/10.1080/00207721.2022.2093419"},"language":"en","primary_location":{"id":"doi:10.1080/00207721.2022.2093419","is_oa":true,"landing_page_url":"https://doi.org/10.1080/00207721.2022.2093419","pdf_url":"https://www.tandfonline.com/doi/pdf/10.1080/00207721.2022.2093419?needAccess=true","source":{"id":"https://openalex.org/S129640837","display_name":"International Journal of Systems Science","issn_l":"0020-7721","issn":["0020-7721","1464-5319"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Systems Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://www.tandfonline.com/doi/pdf/10.1080/00207721.2022.2093419?needAccess=true","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100428822","display_name":"Wen\u2010Hua Chen","orcid":"https://orcid.org/0000-0003-3356-2889"},"institutions":[{"id":"https://openalex.org/I143804889","display_name":"Loughborough University","ror":"https://ror.org/04vg4w365","country_code":"GB","type":"education","lineage":["https://openalex.org/I143804889"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Wen-Hua Chen","raw_affiliation_strings":["Department of Aeronautical and Automotive Engineering, Loughborough University, Leicestershire, UK"],"raw_orcid":"https://orcid.org/0000-0003-3356-2889","affiliations":[{"raw_affiliation_string":"Department of Aeronautical and Automotive Engineering, Loughborough University, Leicestershire, UK","institution_ids":["https://openalex.org/I143804889"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5100428822"],"corresponding_institution_ids":["https://openalex.org/I143804889"],"apc_list":null,"apc_paid":null,"fwci":0.3519,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.54989586,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"53","issue":"16","first_page":"3524","last_page":"3537"},"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":0.9925000071525574,"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/T10932","display_name":"Microbial Metabolic Engineering and Bioproduction","score":0.9901999831199646,"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/model-predictive-control","display_name":"Model predictive control","score":0.7345598936080933},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6017046570777893},{"id":"https://openalex.org/keywords/terminal","display_name":"Terminal (telecommunication)","score":0.5830312967300415},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5502859354019165},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.5481692552566528},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5417190194129944},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5365732908248901},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5329583287239075},{"id":"https://openalex.org/keywords/bellman-equation","display_name":"Bellman equation","score":0.5096473693847656},{"id":"https://openalex.org/keywords/horizon","display_name":"Horizon","score":0.4926472306251526},{"id":"https://openalex.org/keywords/stability-theory","display_name":"Stability theory","score":0.4629199802875519},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.29113081097602844},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.24623286724090576}],"concepts":[{"id":"https://openalex.org/C172205157","wikidata":"https://www.wikidata.org/wiki/Q1782962","display_name":"Model predictive control","level":3,"score":0.7345598936080933},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6017046570777893},{"id":"https://openalex.org/C2779664074","wikidata":"https://www.wikidata.org/wiki/Q3518405","display_name":"Terminal (telecommunication)","level":2,"score":0.5830312967300415},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5502859354019165},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.5481692552566528},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5417190194129944},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5365732908248901},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5329583287239075},{"id":"https://openalex.org/C14646407","wikidata":"https://www.wikidata.org/wiki/Q1430750","display_name":"Bellman equation","level":2,"score":0.5096473693847656},{"id":"https://openalex.org/C159176650","wikidata":"https://www.wikidata.org/wiki/Q43261","display_name":"Horizon","level":2,"score":0.4926472306251526},{"id":"https://openalex.org/C41949839","wikidata":"https://www.wikidata.org/wiki/Q1756677","display_name":"Stability theory","level":3,"score":0.4629199802875519},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.29113081097602844},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.24623286724090576},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","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/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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1080/00207721.2022.2093419","is_oa":true,"landing_page_url":"https://doi.org/10.1080/00207721.2022.2093419","pdf_url":"https://www.tandfonline.com/doi/pdf/10.1080/00207721.2022.2093419?needAccess=true","source":{"id":"https://openalex.org/S129640837","display_name":"International Journal of Systems Science","issn_l":"0020-7721","issn":["0020-7721","1464-5319"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Systems Science","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:taf:tsysxx:v:53:y:2022:i:16:p:3524-3537","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1080/00207721.2022.2093419","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:figshare.com:article/20102591","is_oa":true,"landing_page_url":"https://figshare.com/articles/journal_contribution/Stability_of_finite_horizon_optimisation_based_control_without_terminal_weight/20102591","pdf_url":null,"source":{"id":"https://openalex.org/S4377196282","display_name":"Figshare","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210132348","host_organization_name":"Figshare (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210132348"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.1080/00207721.2022.2093419","is_oa":true,"landing_page_url":"https://doi.org/10.1080/00207721.2022.2093419","pdf_url":"https://www.tandfonline.com/doi/pdf/10.1080/00207721.2022.2093419?needAccess=true","source":{"id":"https://openalex.org/S129640837","display_name":"International Journal of Systems Science","issn_l":"0020-7721","issn":["0020-7721","1464-5319"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Systems Science","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2144161455","display_name":"Goal-Oriented Control Systems (GOCS): Disturbance, Uncertainty and Constraints","funder_award_id":"EP/T005734/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G2563411182","display_name":null,"funder_award_id":"EP/T005734/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W369713157","https://openalex.org/W1976277608","https://openalex.org/W1978956894","https://openalex.org/W1986725814","https://openalex.org/W1993171261","https://openalex.org/W1993870155","https://openalex.org/W2027701333","https://openalex.org/W2064572756","https://openalex.org/W2085148928","https://openalex.org/W2090777475","https://openalex.org/W2116128503","https://openalex.org/W2157345920","https://openalex.org/W2161040592","https://openalex.org/W2165545652","https://openalex.org/W2168027532","https://openalex.org/W2168893441","https://openalex.org/W2396444450","https://openalex.org/W2563378438","https://openalex.org/W2743146191","https://openalex.org/W2769617651","https://openalex.org/W2887271066","https://openalex.org/W2945488102","https://openalex.org/W2984685038","https://openalex.org/W3015341440","https://openalex.org/W3195569952","https://openalex.org/W4206105733"],"related_works":["https://openalex.org/W2090777475","https://openalex.org/W1986490467","https://openalex.org/W2907521481","https://openalex.org/W2041144193","https://openalex.org/W2612860123","https://openalex.org/W1983162028","https://openalex.org/W2101609760","https://openalex.org/W1485303157","https://openalex.org/W2001801852","https://openalex.org/W2511534287"],"abstract_inverted_index":{"<p>This":[0],"paper":[1],"presents":[2],"a":[3,19,23,31,39,45,69,83,100,104,128],"stability":[4,121,153],"analysis":[5,27],"tool":[6],"for":[7],"model":[8],"predictive":[9],"control":[10,13,85],"(MPC)":[11],"where":[12],"action":[14],"is":[15,38,66,82,110,116,127],"generated":[16],"by":[17,91],"optimising":[18],"cost":[20],"function":[21,48,63,87],"over":[22],"finite":[24,70],"horizon.":[25],"Stability":[26],"of":[28,96,135,150],"MPC":[29,72,107],"with":[30],"limited":[32],"horizon":[33,71],"but":[34],"without":[35],"terminal":[36,102,138],"weight":[37],"well-known":[40],"challenging":[41],"problem.":[42],"We":[43,112],"define":[44],"new":[46,105],"value":[47,62],"based":[49],"on":[50],"an":[51],"auxiliary":[52],"one-step":[53,61],"optimisation":[54],"related":[55],"to":[56,76,98,146],"stage":[57],"cost,":[58],"namely":[59],"optimal":[60],"(OSVF).":[64],"It":[65],"shown":[67],"that":[68,114,125],"can":[73],"be":[74,77],"made":[75],"asymptotically":[78],"stable":[79],"if":[80],"OSVF":[81,126],"(local)":[84],"Lyapunov":[86],"(CLF).":[88],"More":[89],"specifically,":[90],"exploiting":[92],"the":[93,123,136,148,151],"CLF":[94],"property":[95],"OSFV":[97],"construct":[99],"contractive":[101],"set,":[103],"stabilising":[106],"algorithm":[108],"(CMPC)":[109],"proposed.":[111],"show":[113],"CMPC":[115,157],"recursively":[117],"feasible":[118],"and":[119,133,155],"guarantees":[120],"under":[122],"condition":[124,132,154],"CLF.":[129],"Checking":[130],"this":[131],"estimation":[134],"maximal":[137],"set":[139],"are":[140,144],"discussed.":[141],"Numerical":[142],"examples":[143],"presented":[145],"demonstrate":[147],"effectiveness":[149],"proposed":[152],"corresponding":[156],"algorithm.</p>":[158]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1}],"updated_date":"2026-05-19T21:40:30.786675","created_date":"2025-10-10T00:00:00"}