{"id":"https://openalex.org/W2172237751","doi":"https://doi.org/10.1109/cdc.2009.5400637","title":"Time-optimal control of fractional dynamic systems","display_name":"Time-optimal control of fractional dynamic systems","publication_year":2009,"publication_date":"2009-12-01","ids":{"openalex":"https://openalex.org/W2172237751","doi":"https://doi.org/10.1109/cdc.2009.5400637","mag":"2172237751"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2009.5400637","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2009.5400637","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference","raw_type":"proceedings-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/A5040229864","display_name":"Christophe Tricaud","orcid":null},"institutions":[{"id":"https://openalex.org/I121980950","display_name":"Utah State University","ror":"https://ror.org/00h6set76","country_code":"US","type":"education","lineage":["https://openalex.org/I121980950"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Christophe Tricaud","raw_affiliation_strings":["Center for Self-Organizing and Intelligent Systems (CSOIS), Department of Electrical and Computer Engineering, Utah State University, Logan, UT, USA"],"affiliations":[{"raw_affiliation_string":"Center for Self-Organizing and Intelligent Systems (CSOIS), Department of Electrical and Computer Engineering, Utah State University, Logan, UT, USA","institution_ids":["https://openalex.org/I121980950"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100715957","display_name":"YangQuan Chen","orcid":"https://orcid.org/0000-0002-7422-5988"},"institutions":[{"id":"https://openalex.org/I121980950","display_name":"Utah State University","ror":"https://ror.org/00h6set76","country_code":"US","type":"education","lineage":["https://openalex.org/I121980950"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"YangQua Chen","raw_affiliation_strings":["Center for Self-Organizing and Intelligent Systems (CSOIS), Department of Electrical and Computer Engineering, Utah State University, Logan, UT, USA"],"affiliations":[{"raw_affiliation_string":"Center for Self-Organizing and Intelligent Systems (CSOIS), Department of Electrical and Computer Engineering, Utah State University, Logan, UT, USA","institution_ids":["https://openalex.org/I121980950"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5040229864"],"corresponding_institution_ids":["https://openalex.org/I121980950"],"apc_list":null,"apc_paid":null,"fwci":0.4335,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.67022172,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"3","issue":null,"first_page":"5027","last_page":"5032"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/T11081","display_name":"Advanced Control Systems Design","score":0.9997000098228455,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9962000250816345,"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/fractional-calculus","display_name":"Fractional calculus","score":0.7464869022369385},{"id":"https://openalex.org/keywords/impulse-response","display_name":"Impulse response","score":0.5966498255729675},{"id":"https://openalex.org/keywords/integrator","display_name":"Integrator","score":0.5912734270095825},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5901728868484497},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5591068863868713},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.5458799004554749},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.47699931263923645},{"id":"https://openalex.org/keywords/impulse","display_name":"Impulse (physics)","score":0.4649098813533783},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3998265266418457},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3446269631385803},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3067953288555145},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2981500029563904},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.2514650821685791},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07133418321609497}],"concepts":[{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.7464869022369385},{"id":"https://openalex.org/C72279823","wikidata":"https://www.wikidata.org/wiki/Q1139726","display_name":"Impulse response","level":2,"score":0.5966498255729675},{"id":"https://openalex.org/C79518650","wikidata":"https://www.wikidata.org/wiki/Q2081431","display_name":"Integrator","level":3,"score":0.5912734270095825},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5901728868484497},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5591068863868713},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.5458799004554749},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.47699931263923645},{"id":"https://openalex.org/C70836080","wikidata":"https://www.wikidata.org/wiki/Q837940","display_name":"Impulse (physics)","level":2,"score":0.4649098813533783},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3998265266418457},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3446269631385803},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3067953288555145},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2981500029563904},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.2514650821685791},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07133418321609497},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2009.5400637","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2009.5400637","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference","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":24,"referenced_works":["https://openalex.org/W433794350","https://openalex.org/W1553338987","https://openalex.org/W1605182429","https://openalex.org/W1667059803","https://openalex.org/W1969501836","https://openalex.org/W1995487946","https://openalex.org/W2003362737","https://openalex.org/W2015312610","https://openalex.org/W2062163287","https://openalex.org/W2090403604","https://openalex.org/W2111034649","https://openalex.org/W2116987651","https://openalex.org/W2161411167","https://openalex.org/W2165546856","https://openalex.org/W2496913885","https://openalex.org/W2787959293","https://openalex.org/W2798500587","https://openalex.org/W2969088981","https://openalex.org/W3104377047","https://openalex.org/W3106245579","https://openalex.org/W4236400251","https://openalex.org/W4238496602","https://openalex.org/W6767514782","https://openalex.org/W6786166042"],"related_works":["https://openalex.org/W2366352762","https://openalex.org/W2613964090","https://openalex.org/W2380425739","https://openalex.org/W2081322886","https://openalex.org/W2349324463","https://openalex.org/W1988313539","https://openalex.org/W2029980887","https://openalex.org/W2027541371","https://openalex.org/W2380535488","https://openalex.org/W1975973603"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"a":[3,26,49],"formulation":[4],"for":[5,48],"fractional":[6,14,21,50],"time-optimal":[7],"control":[8],"problems":[9],"in":[10],"terms":[11],"of":[12,29,34],"Riemann-Liouville":[13],"derivatives.":[15],"For":[16],"solution":[17,55],"seeking":[18],"purpose,":[19],"the":[20,30,35,39,54],"operator":[22],"is":[23,41,45,56],"approximated":[24],"using":[25],"rational":[27],"approximation":[28],"Hankel":[31],"data":[32],"matrix":[33],"impulse":[36],"response":[37],"and":[38,53,62],"problem":[40,44],"reformulated.":[42],"The":[43],"thoroughly":[46],"studied":[47],"double":[51],"integrator,":[52],"obtained":[57],"by":[58],"both":[59],"numerical":[60],"optimization":[61],"time-domain":[63],"analysis.":[64]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2016,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
