{"id":"https://openalex.org/W2054177839","doi":"https://doi.org/10.1080/00207160903452244","title":"Optimal control of switched autonomous systems in microbial fed-batch cultures","display_name":"Optimal control of switched autonomous systems in microbial fed-batch cultures","publication_year":2010,"publication_date":"2010-11-26","ids":{"openalex":"https://openalex.org/W2054177839","doi":"https://doi.org/10.1080/00207160903452244","mag":"2054177839"},"language":"en","primary_location":{"id":"doi:10.1080/00207160903452244","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160903452244","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"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 Computer Mathematics","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/A5021375791","display_name":"Chongyang Liu","orcid":"https://orcid.org/0000-0002-2229-6717"},"institutions":[{"id":"https://openalex.org/I83776822","display_name":"Shandong Institute of Business and Technology","ror":"https://ror.org/03rrkrc24","country_code":"CN","type":"education","lineage":["https://openalex.org/I83776822"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Chongyang Liu","raw_affiliation_strings":["a School of Mathematics and Information Science, Shandong Institute of Business and Technology , Yantai Shandong, 264005, China","School of Mathematics and Information Science, Shandong Institute of Business and Technology , Yantai Shandong, 264005, China"],"affiliations":[{"raw_affiliation_string":"a School of Mathematics and Information Science, Shandong Institute of Business and Technology , Yantai Shandong, 264005, China","institution_ids":["https://openalex.org/I83776822"]},{"raw_affiliation_string":"School of Mathematics and Information Science, Shandong Institute of Business and Technology , Yantai Shandong, 264005, China","institution_ids":["https://openalex.org/I83776822"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002727916","display_name":"Enmin Feng","orcid":"https://orcid.org/0000-0001-9696-328X"},"institutions":[{"id":"https://openalex.org/I27357992","display_name":"Dalian University of Technology","ror":"https://ror.org/023hj5876","country_code":"CN","type":"education","lineage":["https://openalex.org/I27357992"]},{"id":"https://openalex.org/I4210092944","display_name":"Dalian University","ror":"https://ror.org/00g2ypp58","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210092944"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Enmin Feng","raw_affiliation_strings":["b School of Mathematical Sciences, Dalian University of Technology , Dalian Liaoning, 116024, China","School of Mathematical Sciences, Dalian University of Technology , Dalian Liaoning, 116024, China"],"affiliations":[{"raw_affiliation_string":"b School of Mathematical Sciences, Dalian University of Technology , Dalian Liaoning, 116024, China","institution_ids":["https://openalex.org/I4210092944","https://openalex.org/I27357992"]},{"raw_affiliation_string":"School of Mathematical Sciences, Dalian University of Technology , Dalian Liaoning, 116024, China","institution_ids":["https://openalex.org/I27357992"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5021375791"],"corresponding_institution_ids":["https://openalex.org/I83776822"],"apc_list":null,"apc_paid":null,"fwci":5.0582,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.94911707,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"88","issue":"2","first_page":"396","last_page":"407"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9995999932289124,"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":0.9995999932289124,"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/T11663","display_name":"Viral Infectious Diseases and Gene Expression in Insects","score":0.9973999857902527,"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"}},{"id":"https://openalex.org/T10932","display_name":"Microbial Metabolic Engineering and Bioproduction","score":0.9908999800682068,"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/optimal-control","display_name":"Optimal control","score":0.666014552116394},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6545251607894897},{"id":"https://openalex.org/keywords/smoothing","display_name":"Smoothing","score":0.6383889317512512},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5983662605285645},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5763738751411438},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.5655354261398315},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.5185685753822327},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5087745785713196},{"id":"https://openalex.org/keywords/penalty-method","display_name":"Penalty method","score":0.4557788074016571},{"id":"https://openalex.org/keywords/terminal","display_name":"Terminal (telecommunication)","score":0.4389028549194336},{"id":"https://openalex.org/keywords/state-variable","display_name":"State variable","score":0.4114445447921753},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.37610045075416565},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.34012657403945923},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.12834662199020386}],"concepts":[{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.666014552116394},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6545251607894897},{"id":"https://openalex.org/C3770464","wikidata":"https://www.wikidata.org/wiki/Q775963","display_name":"Smoothing","level":2,"score":0.6383889317512512},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5983662605285645},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5763738751411438},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.5655354261398315},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.5185685753822327},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5087745785713196},{"id":"https://openalex.org/C6180225","wikidata":"https://www.wikidata.org/wiki/Q3411771","display_name":"Penalty method","level":2,"score":0.4557788074016571},{"id":"https://openalex.org/C2779664074","wikidata":"https://www.wikidata.org/wiki/Q3518405","display_name":"Terminal (telecommunication)","level":2,"score":0.4389028549194336},{"id":"https://openalex.org/C129537906","wikidata":"https://www.wikidata.org/wiki/Q7603913","display_name":"State variable","level":2,"score":0.4114445447921753},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.37610045075416565},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.34012657403945923},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.12834662199020386},{"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},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","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/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207160903452244","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160903452244","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"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 Computer Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.46000000834465027,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W149287538","https://openalex.org/W1550397500","https://openalex.org/W1570351331","https://openalex.org/W1963539326","https://openalex.org/W1968711313","https://openalex.org/W1976222070","https://openalex.org/W1980312579","https://openalex.org/W1984958826","https://openalex.org/W2013000222","https://openalex.org/W2020603209","https://openalex.org/W2056174775","https://openalex.org/W2060418739","https://openalex.org/W2067480733","https://openalex.org/W2074133991","https://openalex.org/W2081176911","https://openalex.org/W2085233856","https://openalex.org/W2093804238","https://openalex.org/W2106469581","https://openalex.org/W2107800111","https://openalex.org/W2117271243","https://openalex.org/W2128523553","https://openalex.org/W2131487171","https://openalex.org/W2168253754","https://openalex.org/W2175480704","https://openalex.org/W2322109482","https://openalex.org/W2376582218","https://openalex.org/W2797698565","https://openalex.org/W3141151088","https://openalex.org/W4247645076","https://openalex.org/W4255033541"],"related_works":["https://openalex.org/W1989837342","https://openalex.org/W2343732099","https://openalex.org/W2956833732","https://openalex.org/W3187644097","https://openalex.org/W3000379490","https://openalex.org/W2805250513","https://openalex.org/W2061750202","https://openalex.org/W1524661691","https://openalex.org/W1516627283","https://openalex.org/W2061521795"],"abstract_inverted_index":{"A":[0,56],"switched":[1,45],"autonomous":[2,46],"system":[3,47],"is":[4,53,59],"proposed":[5,44],"to":[6,42,61,82],"formulate":[7],"the":[8,14,18,28,34,63,71,74,85,91,94,97,101,105,118,128,132,137],"fed-batch":[9],"culture":[10],"process":[11],"by":[12,117,126],"taking":[13],"switching":[15,65,130],"instants":[16,66],"between":[17],"feed":[19],"and":[20,48,77,96],"batch":[21],"processes":[22],"as":[23,111],"control":[24,39],"variables.":[25],"To":[26],"maximize":[27],"concentration":[29,133],"of":[30,100,120,134],"1,3-propanediol":[31],"(1,3-PD)":[32],"at":[33,136],"terminal":[35,138],"time,":[36],"an":[37],"optimal":[38,64,129],"model":[40],"subject":[41],"our":[43],"continuous":[49,86],"state":[50,87,107],"inequality":[51,88],"constraints":[52,108],"then":[54],"presented.":[55],"computational":[57],"approach":[58],"developed":[60],"find":[62],"in":[67],"two":[68],"aspects.":[69],"On":[70],"one":[72],"hand,":[73,93],"constraint":[75],"transcription":[76],"smoothing":[78],"techniques":[79],"are":[80,109,115],"applied":[81],"dealing":[83],"with":[84],"constraints;":[89],"on":[90],"other":[92],"first":[95],"second":[98],"derivatives":[99],"cost":[102],"functional,":[103],"where":[104],"transformed":[106],"treated":[110],"a":[112],"penalty":[113],"function,":[114],"derived":[116],"calculus":[119],"variations.":[121],"Numerical":[122],"results":[123],"show":[124],"that,":[125],"employing":[127],"instants,":[131],"1,3-PD":[135],"time":[139],"can":[140],"be":[141],"increased":[142],"considerably.":[143]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}