{"id":"https://openalex.org/W3186680224","doi":"https://doi.org/10.23919/acc50511.2021.9483066","title":"On Optimal Control with Polynomial Cost Functions for Linear Systems with Time-Invariant Stochastic Parameters","display_name":"On Optimal Control with Polynomial Cost Functions for Linear Systems with Time-Invariant Stochastic Parameters","publication_year":2021,"publication_date":"2021-05-25","ids":{"openalex":"https://openalex.org/W3186680224","doi":"https://doi.org/10.23919/acc50511.2021.9483066","mag":"3186680224"},"language":"en","primary_location":{"id":"doi:10.23919/acc50511.2021.9483066","is_oa":false,"landing_page_url":"https://doi.org/10.23919/acc50511.2021.9483066","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 American Control Conference (ACC)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5028644363","display_name":"Yuji Ito","orcid":"https://orcid.org/0000-0002-6786-7798"},"institutions":[{"id":"https://openalex.org/I4210165351","display_name":"Toyota Central Research and Development Laboratories (Japan)","ror":"https://ror.org/05mjgqe69","country_code":"JP","type":"company","lineage":["https://openalex.org/I4210125472","https://openalex.org/I4210165351"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Yuji Ito","raw_affiliation_strings":["TOYOTA CENTRAL R&D LABS., INC., Nagakute-shi, Aichi, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"TOYOTA CENTRAL R&D LABS., INC., Nagakute-shi, Aichi, Japan","institution_ids":["https://openalex.org/I4210165351"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5037036162","display_name":"Kenji Fujimoto","orcid":"https://orcid.org/0000-0001-6345-4884"},"institutions":[{"id":"https://openalex.org/I22299242","display_name":"Kyoto University","ror":"https://ror.org/02kpeqv85","country_code":"JP","type":"education","lineage":["https://openalex.org/I22299242"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Kenji Fujimoto","raw_affiliation_strings":["Department of Aeronautics and Astronautics, Graduate School of Engineering, Kyoto University, Kyoto, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Aeronautics and Astronautics, Graduate School of Engineering, Kyoto University, Kyoto, Japan","institution_ids":["https://openalex.org/I22299242"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1237","last_page":"1243"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9987999796867371,"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":0.9987999796867371,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9958000183105469,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9945999979972839,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.5837693214416504},{"id":"https://openalex.org/keywords/quadratic-function","display_name":"Quadratic function","score":0.5454460382461548},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5337594151496887},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.5258998274803162},{"id":"https://openalex.org/keywords/lti-system-theory","display_name":"LTI system theory","score":0.524896502494812},{"id":"https://openalex.org/keywords/linear-quadratic-gaussian-control","display_name":"Linear-quadratic-Gaussian control","score":0.522409200668335},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5122823119163513},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4701811373233795},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.44698524475097656},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.44035738706588745},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.4257887303829193},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4166332185268402},{"id":"https://openalex.org/keywords/stochastic-control","display_name":"Stochastic control","score":0.41454261541366577},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3816761374473572},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3243868947029114},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.17721939086914062},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.15819060802459717},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07776597142219543}],"concepts":[{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.5837693214416504},{"id":"https://openalex.org/C166437778","wikidata":"https://www.wikidata.org/wiki/Q50695","display_name":"Quadratic function","level":3,"score":0.5454460382461548},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5337594151496887},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.5258998274803162},{"id":"https://openalex.org/C87698059","wikidata":"https://www.wikidata.org/wiki/Q1808960","display_name":"LTI system theory","level":3,"score":0.524896502494812},{"id":"https://openalex.org/C204495892","wikidata":"https://www.wikidata.org/wiki/Q1798304","display_name":"Linear-quadratic-Gaussian control","level":3,"score":0.522409200668335},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5122823119163513},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4701811373233795},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.44698524475097656},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.44035738706588745},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.4257887303829193},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4166332185268402},{"id":"https://openalex.org/C170131372","wikidata":"https://www.wikidata.org/wiki/Q7617811","display_name":"Stochastic control","level":3,"score":0.41454261541366577},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3816761374473572},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3243868947029114},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.17721939086914062},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.15819060802459717},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07776597142219543},{"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/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","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:10.23919/acc50511.2021.9483066","is_oa":false,"landing_page_url":"https://doi.org/10.23919/acc50511.2021.9483066","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 American Control Conference (ACC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1584023832","https://openalex.org/W1991216150","https://openalex.org/W1993600232","https://openalex.org/W2020036842","https://openalex.org/W2042741865","https://openalex.org/W2043838095","https://openalex.org/W2060016034","https://openalex.org/W2073591687","https://openalex.org/W2107328199","https://openalex.org/W2112284360","https://openalex.org/W2119458360","https://openalex.org/W2502490545","https://openalex.org/W2568214755","https://openalex.org/W2568293141","https://openalex.org/W2570375317","https://openalex.org/W2610218742","https://openalex.org/W2901381232","https://openalex.org/W2964218175","https://openalex.org/W2972813796","https://openalex.org/W2991482675","https://openalex.org/W3103456419","https://openalex.org/W4250589301"],"related_works":["https://openalex.org/W1999291921","https://openalex.org/W2107169685","https://openalex.org/W2097411338","https://openalex.org/W4256064714","https://openalex.org/W2071842300","https://openalex.org/W2011031901","https://openalex.org/W2963859747","https://openalex.org/W4210687168","https://openalex.org/W4211005921","https://openalex.org/W1979142876"],"abstract_inverted_index":{"This":[0],"study":[1,79],"focuses":[2],"on":[3],"minimizing":[4],"the":[5,36,44,48,60,65,85,95,108,112],"expectation":[6],"of":[7,38,94],"a":[8,90,100],"polynomial":[9,20,61,86,113],"cost":[10,72,87],"function":[11,88],"for":[12,111],"linear":[13,91],"systems":[14],"with":[15],"time-invariant":[16,22,49],"stochastic":[17,50],"parameters.":[18,51],"These":[19],"and":[21,89],"properties":[23],"cause":[24],"difficulties":[25],"in":[26],"solving":[27],"this":[28,78,98],"optimal":[29],"control":[30],"problem.":[31],"Conventional":[32],"approaches":[33],"such":[34],"as":[35],"principle":[37],"optimality":[39],"are":[40],"not":[41],"applied":[42],"to":[43,47,107],"problem":[45,66,109],"due":[46],"Whereas":[52],"various":[53],"performance":[54],"metrics":[55],"can":[56],"be":[57],"expressed":[58],"by":[59],"cost,":[62],"it":[63],"makes":[64],"more":[67],"complicated":[68],"than":[69],"well-known":[70],"quadratic":[71],"functions.":[73],"To":[74],"overcome":[75],"these":[76],"difficulties,":[77],"derives":[80],"an":[81],"explicit":[82],"relation":[83],"between":[84],"feedback":[92,105],"gain":[93],"controller.":[96],"Using":[97],"relation,":[99],"gradient":[101],"method":[102],"yields":[103],"sub-optimal":[104],"gains":[106],"even":[110],"cost.":[114]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2026-07-15T18:14:33.161393","created_date":"2025-10-10T00:00:00"}