{"id":"https://openalex.org/W3014082905","doi":"https://doi.org/10.1109/lcsys.2020.2982511","title":"An Efficient Algorithm for an \u2113\u2081/\u2113\u2082 Mixed Optimal Control Problem with a Box Constraint and Parallelization","display_name":"An Efficient Algorithm for an \u2113\u2081/\u2113\u2082 Mixed Optimal Control Problem with a Box Constraint and Parallelization","publication_year":2020,"publication_date":"2020-03-24","ids":{"openalex":"https://openalex.org/W3014082905","doi":"https://doi.org/10.1109/lcsys.2020.2982511","mag":"3014082905"},"language":"en","primary_location":{"id":"doi:10.1109/lcsys.2020.2982511","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcsys.2020.2982511","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"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5032291225","display_name":"Mitsuru Toyoda","orcid":"https://orcid.org/0000-0002-2443-4642"},"institutions":[{"id":"https://openalex.org/I69740276","display_name":"Tokyo Metropolitan University","ror":"https://ror.org/00ws30h19","country_code":"JP","type":"education","lineage":["https://openalex.org/I69740276"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Mitsuru Toyoda","raw_affiliation_strings":["Department of Mechanical Systems Engineering, Tokyo Metropolitan University, Tokyo, Japan"],"raw_orcid":"https://orcid.org/0000-0002-2443-4642","affiliations":[{"raw_affiliation_string":"Department of Mechanical Systems Engineering, Tokyo Metropolitan University, Tokyo, Japan","institution_ids":["https://openalex.org/I69740276"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5000782060","display_name":"Mirai Tanaka","orcid":"https://orcid.org/0000-0003-3588-5585"},"institutions":[{"id":"https://openalex.org/I4210126580","display_name":"RIKEN Center for Advanced Intelligence Project","ror":"https://ror.org/03ckxwf91","country_code":"JP","type":"facility","lineage":["https://openalex.org/I4210110652","https://openalex.org/I4210126580"]},{"id":"https://openalex.org/I4210134673","display_name":"The Institute of Statistical Mathematics","ror":"https://ror.org/03jcejr58","country_code":"JP","type":"facility","lineage":["https://openalex.org/I1319490839","https://openalex.org/I4210134673","https://openalex.org/I4210158934"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Mirai Tanaka","raw_affiliation_strings":["Continuous Optimization Team, RIKEN Center for Advanced Intelligence Project, Tokyo, Japan","Department of Statistical Inference and Mathematics, Institute of Statistical Mathematics, Tokyo, Japan"],"raw_orcid":"https://orcid.org/0000-0003-3588-5585","affiliations":[{"raw_affiliation_string":"Continuous Optimization Team, RIKEN Center for Advanced Intelligence Project, Tokyo, Japan","institution_ids":["https://openalex.org/I4210126580"]},{"raw_affiliation_string":"Department of Statistical Inference and Mathematics, Institute of Statistical Mathematics, Tokyo, Japan","institution_ids":["https://openalex.org/I4210134673"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.03045697,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"4","issue":"3","first_page":"584","last_page":"589"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9976999759674072,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9976999759674072,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.9955999851226807,"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/T12277","display_name":"Frequency Control in Power Systems","score":0.9848999977111816,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/algorithm","display_name":"Algorithm","score":0.6294398903846741},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.6212649345397949},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5563638210296631},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5528650879859924},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.5195825099945068},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.4410557746887207},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.41866928339004517},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.31288623809814453}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6294398903846741},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.6212649345397949},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5563638210296631},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5528650879859924},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.5195825099945068},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.4410557746887207},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.41866928339004517},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.31288623809814453},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/lcsys.2020.2982511","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcsys.2020.2982511","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2502582890","display_name":"Data-Driven Learning Optimization of Dynamical System with Stochastic Uncertainty and Its Application","funder_award_id":"19K15019","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"},{"id":"https://openalex.org/G4495685244","display_name":"Development of efficient algorithms for solving large-scale nonconvex optimization problem and its application to machine learning","funder_award_id":"19K15247","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"}],"funders":[{"id":"https://openalex.org/F4320334764","display_name":"Japan Society for the Promotion of Science","ror":"https://ror.org/00hhkn466"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W1946620893","https://openalex.org/W1980183459","https://openalex.org/W2040762549","https://openalex.org/W2045079045","https://openalex.org/W2066969094","https://openalex.org/W2125852763","https://openalex.org/W2164278908","https://openalex.org/W2289445478","https://openalex.org/W2418068287","https://openalex.org/W2505177547","https://openalex.org/W2551943968","https://openalex.org/W2562339125","https://openalex.org/W2744049256","https://openalex.org/W2807389283","https://openalex.org/W2942201979","https://openalex.org/W3102961917","https://openalex.org/W4229706427","https://openalex.org/W4250589301","https://openalex.org/W4292363360"],"related_works":["https://openalex.org/W2807251790","https://openalex.org/W2799406489","https://openalex.org/W2049792449","https://openalex.org/W986251431","https://openalex.org/W2503798035","https://openalex.org/W2112284452","https://openalex.org/W563727013","https://openalex.org/W2502468346","https://openalex.org/W2963420405","https://openalex.org/W2349580982"],"abstract_inverted_index":{"An":[0,46],"\u21131/\u21132mixed":[1],"optimal":[2,18,80],"control":[3,19,43,81],"problem":[4],"for":[5],"discrete":[6],"linear":[7],"systems":[8],"is":[9,58,87],"considered":[10],"in":[11],"this":[12],"letter.":[13],"Compared":[14],"to":[15,37],"conventional":[16],"LQ-type":[17],"problems,":[20],"which":[21],"consists":[22],"of":[23,41,55,78,95],"quadratic":[24],"costs":[25],"on":[26,32,50],"states":[27],"and":[28],"inputs,":[29],"an":[30],"\u21131cost":[31],"the":[33,39,42,51,61,69,76,79,84,93],"input":[34,44],"are":[35,66],"included":[36],"induce":[38],"sparsity":[40],"sequence.":[45],"efficient":[47],"algorithm":[48,86],"based":[49],"alternating":[52],"direction":[53],"method":[54],"multipliers":[56],"(ADMM)":[57],"proposed.":[59],"In":[60],"proposed":[62,85,96],"algorithm,":[63],"proximal":[64],"points":[65],"computed":[67],"by":[68,74],"closed":[70],"form":[71],"solution.":[72],"Furthermore,":[73],"exploiting":[75],"structure":[77],"cost":[82],"function,":[83],"parallelized.":[88],"Finally,":[89],"numerical":[90],"examples":[91],"illustrate":[92],"effectiveness":[94],"algorithms.":[97]},"counts_by_year":[],"updated_date":"2026-08-06T08:24:18.245995","created_date":"2025-10-10T00:00:00"}
