{"id":"https://openalex.org/W7212722178","doi":"https://doi.org/10.48550/arxiv.2609.12961","title":"Sampled-data optimal control of linear fractional-order systems","display_name":"Sampled-data optimal control of linear fractional-order systems","publication_year":2026,"publication_date":"2026-09-11","ids":{"openalex":"https://openalex.org/W7212722178","doi":"https://doi.org/10.48550/arxiv.2609.12961"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.12961","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.12961","pdf_url":"https://arxiv.org/pdf/2609.12961","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"volume":null,"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2609.12961","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5051529774","display_name":"Pantelis Sopasakis","orcid":"https://orcid.org/0000-0002-4584-2354","observed_orcids":["https://orcid.org/0000-0002-4584-2354"]},"institutions":[{"id":"https://openalex.org/I126231945","display_name":"Queen's University Belfast","ror":"https://ror.org/00hswnk62","country_code":"GB","type":"education","lineage":["https://openalex.org/I126231945"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Sopasakis, Pantelis","raw_affiliation_strings":["School of Electronics, Electrical Engineering, and Computer Science (EEECS) Queen's University Belfast , Belfast BT9 5AG , United Kingdom"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electronics, Electrical Engineering, and Computer Science (EEECS) Queen's University Belfast , Belfast BT9 5AG , United Kingdom","institution_ids":["https://openalex.org/I126231945"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5051529774"],"corresponding_institution_ids":["https://openalex.org/I126231945"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11081","display_name":"Advanced Control Systems Design","score":0.5752000212669373,"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/T11081","display_name":"Advanced Control Systems Design","score":0.5752000212669373,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.32910001277923584,"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.045099999755620956,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/sampled-data-control","display_name":"sampled-data control","score":0.9369999766349792},{"id":"https://openalex.org/keywords/optimal-control","display_name":"optimal control","score":0.9150000214576721},{"id":"https://openalex.org/keywords/fractional-order-systems","display_name":"fractional-order systems","score":0.8460000157356262},{"id":"https://openalex.org/keywords/caputo-fractional-derivative","display_name":"Caputo fractional derivative","score":0.9240000247955322},{"id":"https://openalex.org/keywords/state-constraints","display_name":"state constraints","score":0.8069999814033508},{"id":"https://openalex.org/keywords/input-constraints","display_name":"input constraints","score":0.9959999918937683},{"id":"https://openalex.org/keywords/semi-infinite-programming","display_name":"semi-infinite programming","score":0.921999990940094},{"id":"https://openalex.org/keywords/bernstein-polynomials","display_name":"Bernstein polynomials","score":0.9599999785423279},{"id":"https://openalex.org/keywords/linear-systems","display_name":"linear systems","score":0.47200000286102295}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6815000176429749},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.6313999891281128},{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.5534999966621399},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5401999950408936},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.5371999740600586},{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.5242999792098999},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.5239999890327454},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4708999991416931},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4081000089645386},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3767000138759613},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.35249999165534973},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.3433000147342682},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.3391999900341034},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.31630000472068787},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.31619998812675476},{"id":"https://openalex.org/C2986012078","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling interval","level":2,"score":0.31299999356269836},{"id":"https://openalex.org/C193386753","wikidata":"https://www.wikidata.org/wiki/Q1130396","display_name":"Approximations of \u03c0","level":2,"score":0.2840000092983246},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2768999934196472},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.2736999988555908},{"id":"https://openalex.org/C145242015","wikidata":"https://www.wikidata.org/wiki/Q774123","display_name":"Approximation theory","level":2,"score":0.27320000529289246},{"id":"https://openalex.org/C72434380","wikidata":"https://www.wikidata.org/wiki/Q230930","display_name":"State space","level":2,"score":0.2621999979019165},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.25049999356269836}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.12961","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.12961","pdf_url":"https://arxiv.org/pdf/2609.12961","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},{"id":"doi:10.48550/arxiv.2609.12961","doi":"https://doi.org/10.48550/arxiv.2609.12961","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.12961","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2609.12961","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.12961","pdf_url":"https://arxiv.org/pdf/2609.12961","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7212722178.pdf","grobid_xml":"https://content.openalex.org/works/W7212722178.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W3186533796","https://openalex.org/W3125684319","https://openalex.org/W2276692881","https://openalex.org/W4313131216","https://openalex.org/W2593494538","https://openalex.org/W4414080096","https://openalex.org/W2766199206","https://openalex.org/W4294167270","https://openalex.org/W2082062104","https://openalex.org/W4289134992"],"abstract_inverted_index":{"This":[0],"paper":[1],"studies":[2],"the":[3,31,37,44,56,68,77,90,96,105,108,111,115,119],"problem":[4],"of":[5,8,13,55,67,107,114],"optimal":[6],"control":[7],"Caputo":[9],"linear":[10],"fractional-order":[11],"systems":[12],"order":[14],"$\u03b1\\in":[15],"(0,":[16],"1]$":[17],"with":[18],"continuous-time":[19,69],"state":[20,32,70],"constraints":[21,33],"and":[22,40,59,88,118,124],"input":[23],"constraints.":[24,71],"The":[25],"resulting":[26],"problems":[27],"are":[28,34,74],"semi-infinite,":[29],"since":[30],"imposed":[35],"over":[36],"sampling":[38,45,86],"intervals":[39],"not":[41],"merely":[42],"at":[43],"instants.":[46],"To":[47],"address":[48],"this,":[49],"we":[50],"derive":[51],"a":[52],"sampled-data":[53],"representation":[54],"inter-sample":[57],"trajectory":[58],"use":[60],"Bernstein":[61],"polynomials":[62],"to":[63],"construct":[64],"polytopic":[65],"approximations":[66],"Explicit":[72],"bounds":[73],"obtained":[75],"for":[76],"conservatism":[78],"introduced":[79],"by":[80],"this":[81],"approximation.":[82],"By":[83],"subdividing":[84],"each":[85],"interval":[87],"applying":[89],"Bernstein-based":[91],"construction":[92],"on":[93],"every":[94],"subinterval,":[95],"approximation":[97,122],"is":[98],"made":[99],"arbitrarily":[100],"tight.":[101],"Numerical":[102],"examples":[103],"illustrate":[104],"tightness":[106],"proposed":[109,116],"enclosures,":[110],"computational":[112,125],"tractability":[113],"method,":[117],"trade-off":[120],"between":[121],"accuracy":[123],"complexity.":[126]},"counts_by_year":[],"updated_date":"2026-10-28T10:33:24.094632","created_date":"2026-09-15T00:00:00"}