{"id":"https://openalex.org/W4323065861","doi":"https://doi.org/10.1109/lcsys.2023.3252162","title":"Algebraic Decomposition of Model Predictive Control Problems","display_name":"Algebraic Decomposition of Model Predictive Control Problems","publication_year":2023,"publication_date":"2023-01-01","ids":{"openalex":"https://openalex.org/W4323065861","doi":"https://doi.org/10.1109/lcsys.2023.3252162","pmid":"https://pubmed.ncbi.nlm.nih.gov/37841505"},"language":"en","primary_location":{"id":"doi:10.1109/lcsys.2023.3252162","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1109/lcsys.2023.3252162","pdf_url":null,"source":{"id":"https://openalex.org/S4306422535","display_name":"IEEE Control Systems Letters","issn_l":"2475-1456","issn":["2475-1456"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Control Systems Letters","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://pmc.ncbi.nlm.nih.gov/articles/PMC10569442/pdf/nihms-1885821.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5012430443","display_name":"Amirhossein Nazerian","orcid":"https://orcid.org/0000-0003-1280-2353"},"institutions":[{"id":"https://openalex.org/I169521973","display_name":"University of New Mexico","ror":"https://ror.org/05fs6jp91","country_code":"US","type":"education","lineage":["https://openalex.org/I169521973"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Amirhossein Nazerian","raw_affiliation_strings":["Mechanical Engineering Department, University of New Mexico, Albuquerque, NM, USA"],"raw_orcid":"https://orcid.org/0000-0003-1280-2353","affiliations":[{"raw_affiliation_string":"Mechanical Engineering Department, University of New Mexico, Albuquerque, NM, USA","institution_ids":["https://openalex.org/I169521973"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083296095","display_name":"Fredy Vides","orcid":"https://orcid.org/0000-0003-0029-7273"},"institutions":[{"id":"https://openalex.org/I169009895","display_name":"National Autonomous University of Honduras","ror":"https://ror.org/03xyve152","country_code":"HN","type":"education","lineage":["https://openalex.org/I169009895"]}],"countries":["HN"],"is_corresponding":false,"raw_author_name":"Fredy Vides","raw_affiliation_strings":["Scientific Computing Innovation Center, UNAH, Tegucigalpa, Honduras"],"raw_orcid":"https://orcid.org/0000-0003-0029-7273","affiliations":[{"raw_affiliation_string":"Scientific Computing Innovation Center, UNAH, Tegucigalpa, Honduras","institution_ids":["https://openalex.org/I169009895"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5034065247","display_name":"Francesco Sorrentino","orcid":"https://orcid.org/0000-0001-8899-1176"},"institutions":[{"id":"https://openalex.org/I169521973","display_name":"University of New Mexico","ror":"https://ror.org/05fs6jp91","country_code":"US","type":"education","lineage":["https://openalex.org/I169521973"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Francesco Sorrentino","raw_affiliation_strings":["Mechanical Engineering Department, University of New Mexico, Albuquerque, NM, USA"],"raw_orcid":"https://orcid.org/0000-0001-8899-1176","affiliations":[{"raw_affiliation_string":"Mechanical Engineering Department, University of New Mexico, Albuquerque, NM, USA","institution_ids":["https://openalex.org/I169521973"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.01614889,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"7","issue":null,"first_page":"1441","last_page":"1446"},"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/T11236","display_name":"Control Systems and Identification","score":0.9943000078201294,"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":0.9937000274658203,"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/model-predictive-control","display_name":"Model predictive control","score":0.7802540063858032},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.6969653367996216},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.620219349861145},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.549511730670929},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5403720140457153},{"id":"https://openalex.org/keywords/scale","display_name":"Scale (ratio)","score":0.5075001120567322},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5047918558120728},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.45852911472320557},{"id":"https://openalex.org/keywords/decomposition-method","display_name":"Decomposition method (queueing theory)","score":0.44501742720603943},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.42537957429885864},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.4162098169326782},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.32494544982910156},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.31427454948425293},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.2832333445549011},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.12387168407440186},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07413032650947571}],"concepts":[{"id":"https://openalex.org/C172205157","wikidata":"https://www.wikidata.org/wiki/Q1782962","display_name":"Model predictive control","level":3,"score":0.7802540063858032},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.6969653367996216},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.620219349861145},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.549511730670929},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5403720140457153},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.5075001120567322},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5047918558120728},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.45852911472320557},{"id":"https://openalex.org/C2778258933","wikidata":"https://www.wikidata.org/wiki/Q16918986","display_name":"Decomposition method (queueing theory)","level":2,"score":0.44501742720603943},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.42537957429885864},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.4162098169326782},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.32494544982910156},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.31427454948425293},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.2832333445549011},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.12387168407440186},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07413032650947571},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","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":3,"locations":[{"id":"doi:10.1109/lcsys.2023.3252162","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1109/lcsys.2023.3252162","pdf_url":null,"source":{"id":"https://openalex.org/S4306422535","display_name":"IEEE Control Systems Letters","issn_l":"2475-1456","issn":["2475-1456"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Control Systems Letters","raw_type":"journal-article"},{"id":"pmid:37841505","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/37841505","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE control systems letters","raw_type":null},{"id":"pmh:oai:pubmedcentral.nih.gov:10569442","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/10569442","pdf_url":"https://pmc.ncbi.nlm.nih.gov/articles/PMC10569442/pdf/nihms-1885821.pdf","source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Control Syst Lett","raw_type":"Text"}],"best_oa_location":{"id":"pmh:oai:pubmedcentral.nih.gov:10569442","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/10569442","pdf_url":"https://pmc.ncbi.nlm.nih.gov/articles/PMC10569442/pdf/nihms-1885821.pdf","source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Control Syst Lett","raw_type":"Text"},"sustainable_development_goals":[{"score":0.4699999988079071,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[{"id":"https://openalex.org/G2339907654","display_name":null,"funder_award_id":"R21 EB028489","funder_id":"https://openalex.org/F4320337363","funder_display_name":"National Institute of Biomedical Imaging and Bioengineering"}],"funders":[{"id":"https://openalex.org/F4320332161","display_name":"National Institutes of Health","ror":"https://ror.org/01cwqze88"},{"id":"https://openalex.org/F4320337363","display_name":"National Institute of Biomedical Imaging and Bioengineering","ror":"https://ror.org/00372qc85"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4323065861.pdf","grobid_xml":"https://content.openalex.org/works/W4323065861.grobid-xml"},"referenced_works_count":36,"referenced_works":["https://openalex.org/W1548885290","https://openalex.org/W1977256427","https://openalex.org/W1982392757","https://openalex.org/W1993230952","https://openalex.org/W2026198848","https://openalex.org/W2027701333","https://openalex.org/W2034256388","https://openalex.org/W2038854434","https://openalex.org/W2044704553","https://openalex.org/W2057864643","https://openalex.org/W2072303328","https://openalex.org/W2088369373","https://openalex.org/W2120204400","https://openalex.org/W2542416669","https://openalex.org/W2557128800","https://openalex.org/W2575417362","https://openalex.org/W2749680651","https://openalex.org/W2795733431","https://openalex.org/W2952762354","https://openalex.org/W2954028557","https://openalex.org/W3011230631","https://openalex.org/W3033955638","https://openalex.org/W3036953780","https://openalex.org/W3088330054","https://openalex.org/W3095413310","https://openalex.org/W3102396825","https://openalex.org/W3134336860","https://openalex.org/W3181902277","https://openalex.org/W3186157838","https://openalex.org/W3189223768","https://openalex.org/W3214130578","https://openalex.org/W3214355783","https://openalex.org/W4205569666","https://openalex.org/W4308197651","https://openalex.org/W4312594476","https://openalex.org/W4315488858"],"related_works":["https://openalex.org/W1990079087","https://openalex.org/W2101188133","https://openalex.org/W3202234113","https://openalex.org/W4248731570","https://openalex.org/W2381210024","https://openalex.org/W2060165215","https://openalex.org/W2384015130","https://openalex.org/W4285595274","https://openalex.org/W81137451","https://openalex.org/W2541180809"],"abstract_inverted_index":{"This":[0,76],"paper":[1],"is":[2,23,60,78,90],"concerned":[3],"with":[4,17,86],"the":[5,41,51,56,93,97,103,113,116],"application":[6],"of":[7,25,30,33,74,115],"model":[8],"predictive":[9],"control":[10],"(MPC)":[11],"to":[12,68,80,101],"large-scale":[13,84],"linear":[14,18],"dynamical":[15],"systems":[16,85],"inequality":[19,87],"constraints.":[20,46,88],"A":[21],"decomposition":[22,57],"proposed":[24],"such":[26],"problems":[27,106],"into":[28],"sets":[29],"independent":[31],"MPCs":[32],"lower":[34,108],"dimensions":[35],"that":[36,92],"preserves":[37],"all":[38],"information":[39],"about":[40],"system,":[42],"cost":[43],"function,":[44],"and":[45,96],"Different":[47],"from":[48],"previous":[49],"work,":[50],"constraints":[52],"are":[53,107],"incorporated":[54],"in":[55],"procedure,":[58],"which":[59],"attained":[61],"by":[62,112],"generalizing":[63],"a":[64,72],"previously":[65],"developed":[66],"technique":[67],"simultaneously":[69],"block":[70],"diagonalize":[71],"set":[73],"matrices.":[75],"approach":[77],"applied":[79],"practical":[81],"examples":[82],"involving":[83],"It":[89],"shown":[91],"computational":[94],"complexity":[95],"CPU":[98],"time":[99],"required":[100,111],"solve":[102],"transformed":[104],"MPC":[105,118],"than":[109],"those":[110],"solution":[114],"original":[117],"problem.":[119]},"counts_by_year":[],"updated_date":"2025-12-24T23:09:58.560324","created_date":"2025-10-10T00:00:00"}
