{"id":"https://openalex.org/W7131442192","doi":"https://doi.org/10.48550/arxiv.2602.20076","title":"Robust Taylor-Lagrange Control for Safety-Critical Systems","display_name":"Robust Taylor-Lagrange Control for Safety-Critical Systems","publication_year":2026,"publication_date":"2026-02-23","ids":{"openalex":"https://openalex.org/W7131442192","doi":"https://doi.org/10.48550/arxiv.2602.20076"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2602.20076","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2602.20076","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.2602.20076","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5126839426","display_name":"Wei Xiao","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Xiao, Wei","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5126824690","display_name":"Christos Cassandras","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Cassandras, Christos","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5068228570","display_name":"Anni Li","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Li, Anni","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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.45820000767707825,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.45820000767707825,"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":0.2757999897003174,"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/T10876","display_name":"Fault Detection and Control Systems","score":0.09740000218153,"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/cruise-control","display_name":"Cruise control","score":0.6414999961853027},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6054999828338623},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.6000999808311462},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.5309000015258789},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5085999965667725},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.5072000026702881},{"id":"https://openalex.org/keywords/adaptive-control","display_name":"Adaptive control","score":0.44690001010894775}],"concepts":[{"id":"https://openalex.org/C113168747","wikidata":"https://www.wikidata.org/wiki/Q507295","display_name":"Cruise control","level":3,"score":0.6414999961853027},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6054999828338623},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.6000999808311462},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.5309000015258789},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5085999965667725},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.5072000026702881},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4810999929904938},{"id":"https://openalex.org/C107464732","wikidata":"https://www.wikidata.org/wiki/Q235781","display_name":"Adaptive control","level":3,"score":0.44690001010894775},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.43369999527931213},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3718999922275543},{"id":"https://openalex.org/C31531917","wikidata":"https://www.wikidata.org/wiki/Q915157","display_name":"Robust control","level":3,"score":0.36739999055862427},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.36079999804496765},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.3269999921321869},{"id":"https://openalex.org/C2982888158","wikidata":"https://www.wikidata.org/wiki/Q5165874","display_name":"Control function","level":3,"score":0.31049999594688416},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.29899999499320984},{"id":"https://openalex.org/C148043351","wikidata":"https://www.wikidata.org/wiki/Q4456944","display_name":"Current (fluid)","level":2,"score":0.26260000467300415},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.25200000405311584}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2602.20076","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2602.20076","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.2602.20076","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2602.20076","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Solving":[0],"safety-critical":[1,158],"control":[2,92,151,159],"problem":[3,44,118],"has":[4],"widely":[5],"adopted":[6],"the":[7,14,41,60,65,69,77,81,91,98,103,107,115,140,143],"Control":[8,31],"Barrier":[9],"Function":[10],"(CBF)":[11],"method.":[12,109],"However,":[13],"existence":[15],"of":[16,80,102,142],"a":[17,21,53],"CBF":[18],"is":[19,38,131],"only":[20,120],"sufficient":[22],"condition":[23],"for":[24],"system":[25],"safety.":[26],"The":[27,110],"recently":[28],"proposed":[29,144],"Taylor-Lagrange":[30],"(TLC)":[32],"method":[33,57,67,112,146],"addresses":[34,114],"this":[35,49],"limitation,":[36],"but":[37],"vulnerable":[39],"to":[40,58,93],"feasibility":[42,61,116],"preservation":[43,62,117],"(e.g.,":[45],"inter-sampling":[46],"effect).":[47],"In":[48],"paper,":[50],"we":[51,138],"propose":[52],"robust":[54],"TLC":[55,108],"(rTLC)":[56],"address":[59],"problem.":[63],"Specifically,":[64],"rTLC":[66,111,145],"expands":[68],"safety":[70],"function":[71,82],"at":[72,97],"an":[73,148],"order":[74],"higher":[75],"than":[76,134],"relative":[78],"degree":[79],"using":[83],"Taylor's":[84],"expansion":[85],"with":[86,119,156],"Lagrange":[87],"remainder,":[88],"which":[89,130],"allows":[90],"explicitly":[94],"show":[95],"up":[96],"current":[99],"time":[100,105,125],"instead":[101],"future":[104],"in":[106],"naturally":[113],"one":[121],"hyper-parameter":[122],"(the":[123],"discretization":[124],"interval":[126],"size":[127],"during":[128],"implementation),":[129],"much":[132],"less":[133],"its":[135],"counterparts.":[136],"Finally,":[137],"illustrate":[139],"effectiveness":[141],"through":[147],"adaptive":[149],"cruise":[150],"problem,":[152],"and":[153],"compare":[154],"it":[155],"existing":[157],"methods.":[160]},"counts_by_year":[],"updated_date":"2026-07-01T06:00:48.157686","created_date":"2026-02-26T00:00:00"}