{"id":"https://openalex.org/W4382998494","doi":"https://doi.org/10.1109/access.2023.3291349","title":"Augmented Neural Lyapunov Control","display_name":"Augmented Neural Lyapunov Control","publication_year":2023,"publication_date":"2023-01-01","ids":{"openalex":"https://openalex.org/W4382998494","doi":"https://doi.org/10.1109/access.2023.3291349"},"language":"en","primary_location":{"id":"doi:10.1109/access.2023.3291349","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2023.3291349","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/10171339.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/10171339.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5044550979","display_name":"Davide Grande","orcid":"https://orcid.org/0000-0002-4936-6797"},"institutions":[{"id":"https://openalex.org/I197940685","display_name":"National Oceanography Centre","ror":"https://ror.org/00874hx02","country_code":"GB","type":"facility","lineage":["https://openalex.org/I197940685"]},{"id":"https://openalex.org/I45129253","display_name":"University College London","ror":"https://ror.org/02jx3x895","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I45129253"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Davide Grande","raw_affiliation_strings":["Department of Mechanical Engineering, University College London, London, U.K","National Oceanography Centre, Southampton, UK"],"raw_orcid":"https://orcid.org/0000-0002-4936-6797","affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, University College London, London, U.K","institution_ids":["https://openalex.org/I45129253"]},{"raw_affiliation_string":"National Oceanography Centre, Southampton, UK","institution_ids":["https://openalex.org/I197940685"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015805342","display_name":"Andrea Peruffo","orcid":"https://orcid.org/0000-0002-7767-2935"},"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":"Andrea Peruffo","raw_affiliation_strings":["Mechanical, Maritime and Materials Engineering, Delft University of Technology, Delft, The Netherlands"],"raw_orcid":"https://orcid.org/0000-0002-7767-2935","affiliations":[{"raw_affiliation_string":"Mechanical, Maritime and Materials Engineering, Delft University of Technology, Delft, The Netherlands","institution_ids":["https://openalex.org/I98358874"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5081030896","display_name":"Enrico Anderlini","orcid":"https://orcid.org/0000-0002-8860-8330"},"institutions":[{"id":"https://openalex.org/I45129253","display_name":"University College London","ror":"https://ror.org/02jx3x895","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I45129253"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Enrico Anderlini","raw_affiliation_strings":["Department of Mechanical Engineering, University College London, London, U.K"],"raw_orcid":"https://orcid.org/0000-0002-8860-8330","affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, University College London, London, U.K","institution_ids":["https://openalex.org/I45129253"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5030298701","display_name":"Georgios Salavasidis","orcid":"https://orcid.org/0000-0002-0716-6682"},"institutions":[{"id":"https://openalex.org/I197940685","display_name":"National Oceanography Centre","ror":"https://ror.org/00874hx02","country_code":"GB","type":"facility","lineage":["https://openalex.org/I197940685"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Georgios Salavasidis","raw_affiliation_strings":["National Oceanography Centre, Southampton, U.K"],"raw_orcid":"https://orcid.org/0000-0002-0716-6682","affiliations":[{"raw_affiliation_string":"National Oceanography Centre, Southampton, U.K","institution_ids":["https://openalex.org/I197940685"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5044550979"],"corresponding_institution_ids":["https://openalex.org/I197940685","https://openalex.org/I45129253"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":1.7747,"has_fulltext":true,"cited_by_count":10,"citation_normalized_percentile":{"value":0.84664619,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"11","issue":null,"first_page":"67979","last_page":"67986"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9944000244140625,"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/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9944000244140625,"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/T10320","display_name":"Neural Networks and Applications","score":0.9941999912261963,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9934999942779541,"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/computer-science","display_name":"Computer science","score":0.6082700490951538},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.4919309616088867},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.48988693952560425},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4519861936569214},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.4316887855529785},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.33301013708114624},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.15051785111427307},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08601042628288269}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6082700490951538},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.4919309616088867},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.48988693952560425},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4519861936569214},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.4316887855529785},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.33301013708114624},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.15051785111427307},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08601042628288269},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1109/access.2023.3291349","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2023.3291349","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/10171339.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:eprints.ucl.ac.uk.OAI2:10173596","is_oa":true,"landing_page_url":"https://discovery.ucl.ac.uk/id/eprint/10173596/","pdf_url":"https://discovery.ucl.ac.uk/10173596/1/Grande_Augmented%20Neural%20Lyapunov%20Control_VoR.pdf","source":{"id":"https://openalex.org/S4306400024","display_name":"UCL Discovery (University College London)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I45129253","host_organization_name":"University College London","host_organization_lineage":["https://openalex.org/I45129253"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"   IEEE Access , 11    pp. 67979-67986.   (2023)      ","raw_type":"Article"},{"id":"pmh:oai:nora.nerc.ac.uk:535467","is_oa":true,"landing_page_url":null,"pdf_url":"https://nora.nerc.ac.uk/id/eprint/535467/1/Augmented_Neural_Lyapunov_Control.pdf","source":{"id":"https://openalex.org/S4306400758","display_name":"NERC Open Research Archive (Natural Environment Research Council)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I141816643","host_organization_name":"Natural Environment Research Council","host_organization_lineage":["https://openalex.org/I141816643"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Publication - Article"},{"id":"pmh:oai:doaj.org/article:8329f8a68f75446aa736bf6228b0cf3e","is_oa":true,"landing_page_url":"https://doaj.org/article/8329f8a68f75446aa736bf6228b0cf3e","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","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":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 11, Pp 67979-67986 (2023)","raw_type":"article"},{"id":"pmh:oai:tudelft.nl:uuid:415c6b8f-31d6-496c-b04a-12236359dbf1","is_oa":true,"landing_page_url":"http://resolver.tudelft.nl/uuid:415c6b8f-31d6-496c-b04a-12236359dbf1","pdf_url":null,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"journal article"}],"best_oa_location":{"id":"doi:10.1109/access.2023.3291349","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2023.3291349","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/10171339.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.4099999964237213,"display_name":"Partnerships for the goals","id":"https://metadata.un.org/sdg/17"}],"awards":[{"id":"https://openalex.org/G2380307789","display_name":null,"funder_award_id":"ERC-2017-STG 755953","funder_id":"https://openalex.org/F4320334678","funder_display_name":"European Research Council"}],"funders":[{"id":"https://openalex.org/F4320320286","display_name":"University College London","ror":"https://ror.org/02jx3x895"},{"id":"https://openalex.org/F4320331667","display_name":"National Oceanography Centre","ror":"https://ror.org/00874hx02"},{"id":"https://openalex.org/F4320334678","display_name":"European Research Council","ror":"https://ror.org/0472cxd90"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4382998494.pdf","grobid_xml":"https://content.openalex.org/works/W4382998494.grobid-xml"},"referenced_works_count":28,"referenced_works":["https://openalex.org/W23696228","https://openalex.org/W169672073","https://openalex.org/W1483660345","https://openalex.org/W1484739396","https://openalex.org/W1487127700","https://openalex.org/W1496537269","https://openalex.org/W1574878188","https://openalex.org/W1576278180","https://openalex.org/W2141394518","https://openalex.org/W2166280160","https://openalex.org/W2524522145","https://openalex.org/W2765754656","https://openalex.org/W2806623508","https://openalex.org/W2962017367","https://openalex.org/W2963263347","https://openalex.org/W2970795963","https://openalex.org/W3027266323","https://openalex.org/W3037593164","https://openalex.org/W3110332228","https://openalex.org/W3111609376","https://openalex.org/W3122417560","https://openalex.org/W3158895321","https://openalex.org/W3175924829","https://openalex.org/W4281572168","https://openalex.org/W4315606134","https://openalex.org/W6600951444","https://openalex.org/W6726497184","https://openalex.org/W6767277667"],"related_works":["https://openalex.org/W1982160337","https://openalex.org/W1971380437","https://openalex.org/W1983548084","https://openalex.org/W2141691317","https://openalex.org/W2110846987","https://openalex.org/W2160609742","https://openalex.org/W2979526210","https://openalex.org/W1997414638","https://openalex.org/W2031091109","https://openalex.org/W2049254832"],"abstract_inverted_index":{"Machine":[0],"learning-based":[1],"techniques":[2,199],"have":[3],"recently":[4],"been":[5],"adapted":[6],"to":[7,33,39,54,87,100,105,167],"solve":[8],"control":[9,36,57,110,131,153,174],"problems.":[10],"The":[11,44,184,206],"Neural":[12,25],"Lyapunov":[13,59],"Control":[14],"(NLC)":[15],"method":[16,143,186],"is":[17,187,209],"one":[18],"such":[19,192],"example.":[20],"This":[21,125],"approch":[22],"combines":[23],"Artificial":[24],"Networks":[26],"with":[27,67,116],"Satisfiability":[28],"Modulo":[29],"Theories":[30],"(SMT)":[31],"solvers":[32,64],"synthesise":[34,168],"stabilising":[35],"laws":[37,175],"and":[38,58,103,130,155],"prove":[40],"their":[41,69],"formal":[42],"correctness.":[43],"formers":[45],"are":[46,65,113],"trained":[47],"over":[48,71,189],"a":[49,72,77,162],"dataset":[50,106],"of":[51,90,180,202],"state-space":[52],"samples":[53],"generate":[55],"candidate":[56],"functions,":[60],"whilst":[61],"the":[62,80,91,109,149,152,158,164,178,181,194],"SMT":[63,92],"tasked":[66],"certifying":[68],"correctness":[70],"continuous":[73],"domain":[74],"or":[75],"returning":[76,95],"counterexample.":[78],"Despite":[79],"approach":[81,165],"attractiveness,":[82],"issues":[83],"can":[84],"occur":[85],"due":[86],"subsequent":[88],"calls":[89],"module":[93],"oftentimes":[94],"similar":[96],"counterexamples,":[97],"turning":[98],"out":[99],"be":[101],"uninformative":[102],"leading":[104],"overfitting.":[107],"Additionally,":[108],"network":[111],"weights":[112],"usually":[114],"initialised":[115],"pre-computed":[117],"gains":[118],"from":[119],"state-feedback":[120],"controllers,":[121],"e.g.":[122],"Linear-Quadratic":[123],"Regulators.":[124],"initialisation":[126,154],"requires":[127],"user":[128],"time":[129],"expertise.":[132],"In":[133],"this":[134],"work,":[135],"we":[136],"present":[137],"an":[138],"<italic":[139],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[140],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">Augmented</i>":[141],"NLC":[142],"that":[144],"alleviates":[145],"these":[146],"drawbacks,":[147],"removes":[148],"need":[150],"for":[151],"further":[156],"improves":[157],"counterexample":[159],"generation.":[160],"As":[161],"result,":[163],"allows":[166],"nonlinear":[169],"(as":[170],"well":[171],"as":[172,193],"linear)":[173],"requiring":[176],"solely":[177],"knowledge":[179],"system":[182],"dynamics.":[183],"proposed":[185],"tested":[188],"challenging":[190],"benchmarks":[191],"Lorenz":[195],"attractor,":[196],"outperforming":[197],"existing":[198],"in":[200],"terms":[201],"successful":[203],"synthesis":[204],"rate.":[205],"developed":[207],"framework":[208],"released":[210],"open-source":[211],"at":[212],"https://released":[213],"upon":[214],"acceptance.":[215]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":1}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}