{"id":"https://openalex.org/W4315472012","doi":"https://doi.org/10.1109/cdc51059.2022.9992739","title":"Data-Driven Stability Verification of Homogeneous Nonlinear Systems with Unknown Dynamics","display_name":"Data-Driven Stability Verification of Homogeneous Nonlinear Systems with Unknown Dynamics","publication_year":2022,"publication_date":"2022-12-06","ids":{"openalex":"https://openalex.org/W4315472012","doi":"https://doi.org/10.1109/cdc51059.2022.9992739"},"language":"en","primary_location":{"id":"doi:10.1109/cdc51059.2022.9992739","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc51059.2022.9992739","pdf_url":null,"source":{"id":"https://openalex.org/S4363607710","display_name":"2022 IEEE 61st Conference on Decision and Control (CDC)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 IEEE 61st Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://repository.tudelft.nl/file/File_3b29b007-37d8-4fcc-8ad9-839b7b26632b","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5011080021","display_name":"Abolfazl Lavaei","orcid":"https://orcid.org/0000-0003-4993-3170"},"institutions":[{"id":"https://openalex.org/I84884186","display_name":"Newcastle University","ror":"https://ror.org/01kj2bm70","country_code":"GB","type":"education","lineage":["https://openalex.org/I84884186"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Abolfazl Lavaei","raw_affiliation_strings":["Newcastle University,School of Computing,United Kingdom","School of Computing, Newcastle University, United Kingdom"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Newcastle University,School of Computing,United Kingdom","institution_ids":["https://openalex.org/I84884186"]},{"raw_affiliation_string":"School of Computing, Newcastle University, United Kingdom","institution_ids":["https://openalex.org/I84884186"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5034611919","display_name":"Peyman Mohajerin Esfahani","orcid":"https://orcid.org/0000-0003-1286-8782"},"institutions":[{"id":"https://openalex.org/I98358874","display_name":"Delft University of Technology","ror":"https://ror.org/02e2c7k09","country_code":"NL","type":"education","lineage":["https://openalex.org/I98358874"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Peyman Mohajerin Esfahani","raw_affiliation_strings":["Delft University of Technology,Delft Center for Systems and Control,The Netherlands","Delft Center for Systems and Control, Delft University of Technology, The Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Delft University of Technology,Delft Center for Systems and Control,The Netherlands","institution_ids":["https://openalex.org/I98358874"]},{"raw_affiliation_string":"Delft Center for Systems and Control, Delft University of Technology, The Netherlands","institution_ids":["https://openalex.org/I98358874"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5030109984","display_name":"Majid Zamani","orcid":"https://orcid.org/0000-0001-6608-3708"},"institutions":[{"id":"https://openalex.org/I188538660","display_name":"University of Colorado Boulder","ror":"https://ror.org/02ttsq026","country_code":"US","type":"education","lineage":["https://openalex.org/I188538660"]},{"id":"https://openalex.org/I2802236040","display_name":"University of Colorado System","ror":"https://ror.org/00jc20583","country_code":"US","type":"education","lineage":["https://openalex.org/I2802236040"]},{"id":"https://openalex.org/I3018771216","display_name":"LMU Klinikum","ror":"https://ror.org/02jet3w32","country_code":"DE","type":"healthcare","lineage":["https://openalex.org/I3018771216","https://openalex.org/I8204097"]},{"id":"https://openalex.org/I8204097","display_name":"Ludwig-Maximilians-Universit\u00e4t M\u00fcnchen","ror":"https://ror.org/05591te55","country_code":"DE","type":"education","lineage":["https://openalex.org/I8204097"]}],"countries":["DE","US"],"is_corresponding":false,"raw_author_name":"Majid Zamani","raw_affiliation_strings":["University of Colorado,Computer Science Department,Boulder,USA","LMU, Munich, Germany","Computer Science Department, University of Colorado, Boulder, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Colorado,Computer Science Department,Boulder,USA","institution_ids":["https://openalex.org/I188538660","https://openalex.org/I2802236040"]},{"raw_affiliation_string":"LMU, Munich, Germany","institution_ids":["https://openalex.org/I3018771216","https://openalex.org/I8204097"]},{"raw_affiliation_string":"Computer Science Department, University of Colorado, Boulder, USA","institution_ids":["https://openalex.org/I188538660"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":6,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"7296","last_page":"7301"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9993000030517578,"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":0.9993000030517578,"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":0.9988999962806702,"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":0.9983999729156494,"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/homogeneous","display_name":"Homogeneous","score":0.7308503985404968},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6789157390594482},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6670307517051697},{"id":"https://openalex.org/keywords/dynamics","display_name":"Dynamics (music)","score":0.5555859208106995},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5545491576194763},{"id":"https://openalex.org/keywords/nonlinear-dynamical-systems","display_name":"Nonlinear dynamical systems","score":0.41602838039398193},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.38074007630348206},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.18389227986335754},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12626272439956665},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1219182014465332},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.06961366534233093},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.06090453267097473}],"concepts":[{"id":"https://openalex.org/C66882249","wikidata":"https://www.wikidata.org/wiki/Q169336","display_name":"Homogeneous","level":2,"score":0.7308503985404968},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6789157390594482},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6670307517051697},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.5555859208106995},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5545491576194763},{"id":"https://openalex.org/C2983030100","wikidata":"https://www.wikidata.org/wiki/Q638328","display_name":"Nonlinear dynamical systems","level":3,"score":0.41602838039398193},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.38074007630348206},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.18389227986335754},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12626272439956665},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1219182014465332},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.06961366534233093},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.06090453267097473},{"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/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/cdc51059.2022.9992739","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc51059.2022.9992739","pdf_url":null,"source":{"id":"https://openalex.org/S4363607710","display_name":"2022 IEEE 61st Conference on Decision and Control (CDC)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 IEEE 61st Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},{"id":"pmh:oai:tudelft.nl:uuid:30a7003c-822f-4230-854f-4fcee52c1230","is_oa":true,"landing_page_url":"http://resolver.tudelft.nl/uuid:30a7003c-822f-4230-854f-4fcee52c1230","pdf_url":"https://repository.tudelft.nl/file/File_3b29b007-37d8-4fcc-8ad9-839b7b26632b","source":{"id":"https://openalex.org/S4306400906","display_name":"Research Repository (Delft University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I98358874","host_organization_name":"Delft University of Technology","host_organization_lineage":["https://openalex.org/I98358874"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"conference paper"}],"best_oa_location":{"id":"pmh:oai:tudelft.nl:uuid:30a7003c-822f-4230-854f-4fcee52c1230","is_oa":true,"landing_page_url":"http://resolver.tudelft.nl/uuid:30a7003c-822f-4230-854f-4fcee52c1230","pdf_url":"https://repository.tudelft.nl/file/File_3b29b007-37d8-4fcc-8ad9-839b7b26632b","source":{"id":"https://openalex.org/S4306400906","display_name":"Research Repository (Delft University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I98358874","host_organization_name":"Delft University of Technology","host_organization_lineage":["https://openalex.org/I98358874"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"conference paper"},"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","score":0.5199999809265137,"id":"https://metadata.un.org/sdg/16"}],"awards":[{"id":"https://openalex.org/G6074082460","display_name":"CAREER: A Data-Driven Approach for Verification and Control of Cyber-Physical Systems","funder_award_id":"2145184","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8984924637","display_name":null,"funder_award_id":"CNS-2145184","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320320295","display_name":"Newcastle University","ror":"https://ror.org/01kj2bm70"},{"id":"https://openalex.org/F4320332999","display_name":"Horizon 2020 Framework Programme","ror":"https://ror.org/00k4n6c32"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4315472012.pdf"},"referenced_works_count":22,"referenced_works":["https://openalex.org/W2111990577","https://openalex.org/W2131295967","https://openalex.org/W2164261482","https://openalex.org/W2167412190","https://openalex.org/W2188627395","https://openalex.org/W2796061040","https://openalex.org/W2915537816","https://openalex.org/W2963148914","https://openalex.org/W2966735560","https://openalex.org/W2969264971","https://openalex.org/W3001311638","https://openalex.org/W3012546009","https://openalex.org/W3014259150","https://openalex.org/W3098173350","https://openalex.org/W3104640026","https://openalex.org/W3201160097","https://openalex.org/W4300680548","https://openalex.org/W6639429317","https://openalex.org/W6686880235","https://openalex.org/W6759933505","https://openalex.org/W6776018763","https://openalex.org/W6785978685"],"related_works":["https://openalex.org/W1598955744","https://openalex.org/W4384111961","https://openalex.org/W4285167822","https://openalex.org/W1966008566","https://openalex.org/W2079574545","https://openalex.org/W3127651486","https://openalex.org/W2921182178","https://openalex.org/W4247979471","https://openalex.org/W2159708048","https://openalex.org/W2118964038"],"abstract_inverted_index":{"In":[0,52],"this":[1],"work,":[2],"we":[3,56,80],"propose":[4],"a":[5,30,64,82,122,152,163,188,213,218],"data-driven":[6,54],"approach":[7],"for":[8,156,184],"the":[9,47,50,59,74,77,103,109,134,145,157,167,181,194],"stability":[10,48,61,182,237],"analysis":[11],"of":[12,32,37,49,76,85,89,96,133,142,170,175,196,229],"discrete-time":[13],"homogeneous":[14],"nonlinear":[15,220],"systems":[16,91,186,231],"with":[17,151,187,208,239],"unknown":[18,38,70,90,185,209,230],"models.":[19],"The":[20],"proposed":[21,78,110,135,198],"framework":[22],"is":[23,137],"based":[24],"on":[25,46],"constructing":[26],"Lyapunov":[27,149],"functions":[28,150],"via":[29],"set":[31],"data,":[33],"collected":[34],"from":[35,87,227],"trajectories":[36,88,228],"systems,":[39],"while":[40,131],"providing":[41],"an":[42],"a-priori":[43],"guaranteed":[44,189],"confidence":[45,190,241],"system.":[51],"our":[53,197],"setting,":[55],"first":[57],"cast":[58],"original":[60,104,158],"problem":[62],"as":[63],"robust":[65],"optimization":[66,98],"program":[67,99],"(ROP).":[68],"Since":[69],"models":[71],"appear":[72],"in":[73,140],"constraint":[75],"ROP,":[79,111,176],"collect":[81,225],"finite":[83],"number":[84],"data":[86,226],"and":[92,112,173,177,216,232],"provide":[93,180],"two":[94,204],"variants":[95],"scenario":[97],"(SOP)":[100],"associated":[101],"to":[102,120,203],"ROP.":[105,159],"We":[106,127,160,192,224],"discuss":[107],"that":[108,130,174],"its":[113],"corresponding":[114],"SOPs,":[115],"are":[116],"not":[117],"convex":[118],"due":[119],"having":[121],"bilinearity":[123],"between":[124,166],"decision":[125],"variables.":[126],"also":[128],"show":[129],"one":[132,147],"SOPs":[136],"more":[138],"efficient":[139],"terms":[141],"computational":[143],"complexity,":[144],"other":[146],"provides":[148],"much":[153],"better":[154],"performance":[155],"then":[161],"establish":[162],"probabilistic":[164],"closeness":[165],"optimal":[168],"value":[169],"(non-convex)":[171],"SOP":[172],"subsequently,":[178],"formally":[179],"guarantee":[183],"level.":[191],"illustrate":[193],"efficacy":[195],"results":[199],"by":[200],"applying":[201],"them":[202],"physical":[205],"case":[206],"studies":[207],"dynamics":[210],"including":[211],"(i)":[212],"DC":[214],"motor":[215],"(ii)":[217],"(homogeneous)":[219],"jet":[221],"engine":[222],"compressor.":[223],"verify":[233],"their":[234],"global":[235],"asymptotic":[236],"(GAS)":[238],"desirable":[240],"levels.":[242]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2026-07-26T07:53:14.480251","created_date":"2025-10-10T00:00:00"}