{"id":"https://openalex.org/W7164901672","doi":"https://doi.org/10.48550/arxiv.2606.16485","title":"Robust Koopman MPC with Sets Updates for Time Delayed Systems","display_name":"Robust Koopman MPC with Sets Updates for Time Delayed Systems","publication_year":2026,"publication_date":"2026-06-15","ids":{"openalex":"https://openalex.org/W7164901672","doi":"https://doi.org/10.48550/arxiv.2606.16485"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2606.16485","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2606.16485","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2606.16485","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5138695385","display_name":"Xinglong Zhang","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Zhang, Xinglong","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5138736102","display_name":"Xinxin Yao","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yao, Xinxin","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5138753902","display_name":"Xin Xu","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Xu, Xin","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088962631","display_name":"Keyou You","orcid":"https://orcid.org/0000-0003-4355-5340"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"You, Keyou","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5081456481","display_name":"D Hu","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Hu, Dewen","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.9261999726295471,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9261999726295471,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.05339999869465828,"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/T11236","display_name":"Control Systems and Identification","score":0.0071000000461936,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.7045000195503235},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6539999842643738},{"id":"https://openalex.org/keywords/controllability","display_name":"Controllability","score":0.6510000228881836},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6050000190734863},{"id":"https://openalex.org/keywords/robust-control","display_name":"Robust control","score":0.5242999792098999},{"id":"https://openalex.org/keywords/model-predictive-control","display_name":"Model predictive control","score":0.47440001368522644},{"id":"https://openalex.org/keywords/lti-system-theory","display_name":"LTI system theory","score":0.4066999852657318},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.39640000462532043}],"concepts":[{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.7045000195503235},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6539999842643738},{"id":"https://openalex.org/C48209547","wikidata":"https://www.wikidata.org/wiki/Q1331104","display_name":"Controllability","level":2,"score":0.6510000228881836},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6050000190734863},{"id":"https://openalex.org/C31531917","wikidata":"https://www.wikidata.org/wiki/Q915157","display_name":"Robust control","level":3,"score":0.5242999792098999},{"id":"https://openalex.org/C172205157","wikidata":"https://www.wikidata.org/wiki/Q1782962","display_name":"Model predictive control","level":3,"score":0.47440001368522644},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4722000062465668},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4357999861240387},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4187999963760376},{"id":"https://openalex.org/C87698059","wikidata":"https://www.wikidata.org/wiki/Q1808960","display_name":"LTI system theory","level":3,"score":0.4066999852657318},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.39640000462532043},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.38609999418258667},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.3758000135421753},{"id":"https://openalex.org/C107464732","wikidata":"https://www.wikidata.org/wiki/Q235781","display_name":"Adaptive control","level":3,"score":0.35100001096725464},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.33309999108314514},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.3264000117778778},{"id":"https://openalex.org/C32848918","wikidata":"https://www.wikidata.org/wiki/Q845789","display_name":"Observable","level":2,"score":0.30559998750686646},{"id":"https://openalex.org/C167928553","wikidata":"https://www.wikidata.org/wiki/Q1376021","display_name":"Estimation theory","level":2,"score":0.2799000144004822},{"id":"https://openalex.org/C163175372","wikidata":"https://www.wikidata.org/wiki/Q3339222","display_name":"Linear model","level":2,"score":0.2720000147819519},{"id":"https://openalex.org/C36299963","wikidata":"https://www.wikidata.org/wiki/Q1369844","display_name":"Observability","level":2,"score":0.2565999925136566}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2606.16485","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2606.16485","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2606.16485","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2606.16485","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Koopman":[0,28,80,101,137,163,168],"operators":[1],"have":[2,24],"shown":[3],"significant":[4],"potential":[5],"in":[6,32,127,139,192],"designing":[7],"linear":[8],"model":[9,138],"predictive":[10],"control":[11],"(MPC)":[12],"schemes":[13],"for":[14,89,110,159],"nonlinear":[15,90,114,120],"systems":[16],"on":[17,39,72],"a":[18,50,56,98,111,128,133,152],"lifted":[19,134],"observable":[20],"space.":[21,142],"Recent":[22],"advances":[23],"tackled":[25],"the":[26,33,40,44,64,73,85,140,160,175,193,202,205],"robust":[27,51,99,153,166],"MPC":[29,81,102,155,169],"design":[30,82],"issue":[31],"presence":[34],"of":[35,43,107,113,174,204],"modeling":[36,45],"errors,":[37],"relying":[38],"prior":[41],"estimation":[42],"uncertainty":[46,58,65,108,176],"set.":[47],"However,":[48],"deriving":[49],"positively":[52],"invariant":[53],"set":[54,59,66],"using":[55],"precalculated":[57],"can":[60],"be":[61],"conservative":[62],"because":[63],"bound":[67],"is":[68,124,157,178],"time-varying":[69],"and":[70,75,150,189],"dependent":[71],"state":[74],"control.":[76],"Additionally,":[77],"no":[78],"existing":[79],"has":[83],"addressed":[84],"closed-loop":[86],"robustness":[87,185],"challenge":[88],"time":[91,115,121,135,161],"delayed":[92,116,122,136,162],"systems.":[93,117],"Thereby,":[94],"this":[95],"article":[96],"presents":[97],"adaptive":[100,167],"approach":[103],"with":[104,171],"online":[105,172],"updates":[106,173],"sets":[109,177],"class":[112],"The":[118,165],"unknown":[119],"system":[123],"first":[125],"modeled":[126],"data-driven":[129],"manner":[130],"to":[131,181],"derive":[132],"feature":[141],"By":[143],"analyzing":[144],"fundamental":[145],"properties":[146],"such":[147],"as":[148],"controllability":[149],"observability,":[151],"tube-based":[154],"algorithm":[156,170],"designed":[158],"model.":[164],"then":[179],"presented":[180],"reduce":[182],"conservatism.":[183],"Closed-loop":[184],"under":[186],"exogenous":[187],"disturbances":[188],"asymptotic":[190],"convergence":[191],"nominal":[194],"scenario":[195],"are":[196],"proven.":[197],"Finally,":[198],"numerical":[199],"examples":[200],"verify":[201],"effectiveness":[203],"proposed":[206],"approach.":[207]},"counts_by_year":[],"updated_date":"2026-07-01T06:00:48.157686","created_date":"2026-06-17T00:00:00"}