{"id":"https://openalex.org/W2918200673","doi":"https://doi.org/10.1080/00207721.2019.1586003","title":"The piecewise parametric optimal control of uncertain linear quadratic models","display_name":"The piecewise parametric optimal control of uncertain linear quadratic models","publication_year":2019,"publication_date":"2019-03-01","ids":{"openalex":"https://openalex.org/W2918200673","doi":"https://doi.org/10.1080/00207721.2019.1586003","mag":"2918200673"},"language":"en","primary_location":{"id":"doi:10.1080/00207721.2019.1586003","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207721.2019.1586003","pdf_url":null,"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":null,"license_id":null,"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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5041668369","display_name":"Bo Li","orcid":"https://orcid.org/0000-0002-7796-9261"},"institutions":[{"id":"https://openalex.org/I137056471","display_name":"Nanjing University of Finance and Economics","ror":"https://ror.org/031y8am81","country_code":"CN","type":"education","lineage":["https://openalex.org/I137056471"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Bo Li","raw_affiliation_strings":["School of Applied Mathematics, Nanjing University of Finance and Economics, Nanjing, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Applied Mathematics, Nanjing University of Finance and Economics, Nanjing, People's Republic of China","institution_ids":["https://openalex.org/I137056471"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5029155705","display_name":"Yuanguo Zhu","orcid":"https://orcid.org/0000-0003-3176-4428"},"institutions":[{"id":"https://openalex.org/I36399199","display_name":"Nanjing University of Science and Technology","ror":"https://ror.org/00xp9wg62","country_code":"CN","type":"education","lineage":["https://openalex.org/I36399199"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yuanguo Zhu","raw_affiliation_strings":["School of Science, Nanjing University of Science and Technology, Nanjing, People's Republic of China"],"raw_orcid":"https://orcid.org/0000-0003-3176-4428","affiliations":[{"raw_affiliation_string":"School of Science, Nanjing University of Science and Technology, Nanjing, People's Republic of China","institution_ids":["https://openalex.org/I36399199"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5041668369"],"corresponding_institution_ids":["https://openalex.org/I137056471"],"apc_list":null,"apc_paid":null,"fwci":0.9539,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.76188587,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"50","issue":"5","first_page":"961","last_page":"969"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9966999888420105,"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/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.989799976348877,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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":0.8092334270477295},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.7865845561027527},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.7485736608505249},{"id":"https://openalex.org/keywords/riccati-equation","display_name":"Riccati equation","score":0.683263897895813},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.648242175579071},{"id":"https://openalex.org/keywords/algebraic-riccati-equation","display_name":"Algebraic Riccati equation","score":0.5790449976921082},{"id":"https://openalex.org/keywords/linear-quadratic-regulator","display_name":"Linear-quadratic regulator","score":0.5780006647109985},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5528863072395325},{"id":"https://openalex.org/keywords/linear-quadratic-gaussian-control","display_name":"Linear-quadratic-Gaussian control","score":0.5432459115982056},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5422192215919495},{"id":"https://openalex.org/keywords/parametric-programming","display_name":"Parametric programming","score":0.5290977954864502},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.4944429397583008},{"id":"https://openalex.org/keywords/piecewise-linear-function","display_name":"Piecewise linear function","score":0.4930107295513153},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.3971410393714905},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.33233410120010376},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.23532232642173767},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.10286158323287964},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07681596279144287}],"concepts":[{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.8092334270477295},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.7865845561027527},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.7485736608505249},{"id":"https://openalex.org/C45473103","wikidata":"https://www.wikidata.org/wiki/Q851503","display_name":"Riccati equation","level":3,"score":0.683263897895813},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.648242175579071},{"id":"https://openalex.org/C13847129","wikidata":"https://www.wikidata.org/wiki/Q4723989","display_name":"Algebraic Riccati equation","level":4,"score":0.5790449976921082},{"id":"https://openalex.org/C98779006","wikidata":"https://www.wikidata.org/wiki/Q2520550","display_name":"Linear-quadratic regulator","level":3,"score":0.5780006647109985},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5528863072395325},{"id":"https://openalex.org/C204495892","wikidata":"https://www.wikidata.org/wiki/Q1798304","display_name":"Linear-quadratic-Gaussian control","level":3,"score":0.5432459115982056},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5422192215919495},{"id":"https://openalex.org/C2776045410","wikidata":"https://www.wikidata.org/wiki/Q25111241","display_name":"Parametric programming","level":3,"score":0.5290977954864502},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.4944429397583008},{"id":"https://openalex.org/C17095337","wikidata":"https://www.wikidata.org/wiki/Q2375229","display_name":"Piecewise linear function","level":2,"score":0.4930107295513153},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.3971410393714905},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.33233410120010376},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.23532232642173767},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.10286158323287964},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07681596279144287},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1080/00207721.2019.1586003","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207721.2019.1586003","pdf_url":null,"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":null,"license_id":null,"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:50:y:2019:i:5:p:961-969","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1080/00207721.2019.1586003","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G209617949","display_name":null,"funder_award_id":"61673011","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3948963341","display_name":null,"funder_award_id":"18KJB110012","funder_id":"https://openalex.org/F4320322769","funder_display_name":"Natural Science Foundation of Jiangsu Province"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322769","display_name":"Natural Science Foundation of Jiangsu Province","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W1586251222","https://openalex.org/W1967878356","https://openalex.org/W1981825294","https://openalex.org/W1996899444","https://openalex.org/W1999389879","https://openalex.org/W2006194118","https://openalex.org/W2011083349","https://openalex.org/W2027827748","https://openalex.org/W2028916794","https://openalex.org/W2033715341","https://openalex.org/W2050593112","https://openalex.org/W2063622842","https://openalex.org/W2079101634","https://openalex.org/W2082094090","https://openalex.org/W2091403477","https://openalex.org/W2102316513","https://openalex.org/W2102561200","https://openalex.org/W2146063748","https://openalex.org/W2155561637","https://openalex.org/W2320173340","https://openalex.org/W2463792953","https://openalex.org/W2484638022","https://openalex.org/W2600056596","https://openalex.org/W2729722365","https://openalex.org/W2733226912","https://openalex.org/W2797800993","https://openalex.org/W3035578948","https://openalex.org/W4206830167","https://openalex.org/W4234521054"],"related_works":["https://openalex.org/W2726381554","https://openalex.org/W2107449083","https://openalex.org/W1802932341","https://openalex.org/W2355975928","https://openalex.org/W2139555432","https://openalex.org/W2002357820","https://openalex.org/W2123097656","https://openalex.org/W2991886623","https://openalex.org/W4309376606","https://openalex.org/W2602548393"],"abstract_inverted_index":{"The":[0],"optimal":[1,37,51,64,75,90,98,116],"control":[2,38,52,70,76,92,99,117],"of":[3,18,36,54,63,112],"linear":[4,56],"quadratic":[5,57],"model":[6,58,77],"is":[7,78,101,106],"given":[8],"in":[9],"a":[10,19,48,68,72,83,104],"feedback":[11],"form":[12,35,62],"and":[13,103],"determined":[14],"by":[15],"the":[16,23,34,61,89,110],"solution":[17],"Riccati":[20,25],"equation.":[21],"However,":[22],"control-related":[24],"equation":[26],"usually":[27],"cannot":[28],"be":[29],"solved":[30],"analytically":[31],"such":[32],"that":[33],"will":[39],"become":[40],"more":[41],"complex.":[42],"In":[43],"this":[44],"paper,":[45],"we":[46,81],"consider":[47],"piecewise":[49,69,73,91,114],"parametric":[50,74,84,115],"problem":[53,100],"uncertain":[55,96],"for":[59,87],"simplifying":[60],"control.":[65],"By":[66],"introducing":[67],"parameter,":[71],"established.":[79],"Then":[80],"present":[82],"optimisation":[85],"method":[86],"solving":[88],"parameter.":[93],"Finally,":[94],"an":[95],"inventory-promotion":[97],"discussed":[102],"comparison":[105],"made":[107],"to":[108],"show":[109],"effectiveness":[111],"proposed":[113],"model.":[118]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
