{"id":"https://openalex.org/W4399767326","doi":"https://doi.org/10.1109/lcsys.2024.3416235","title":"Actor\u2013Critic Physics-Informed Neural Lyapunov Control","display_name":"Actor\u2013Critic Physics-Informed Neural Lyapunov Control","publication_year":2024,"publication_date":"2024-01-01","ids":{"openalex":"https://openalex.org/W4399767326","doi":"https://doi.org/10.1109/lcsys.2024.3416235"},"language":"en","primary_location":{"id":"doi:10.1109/lcsys.2024.3416235","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcsys.2024.3416235","pdf_url":null,"source":{"id":"https://openalex.org/S4306422535","display_name":"IEEE Control Systems Letters","issn_l":"2475-1456","issn":["2475-1456"],"is_oa":false,"is_in_doaj":false,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Control Systems Letters","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100639354","display_name":"Jiarui Wang","orcid":"https://orcid.org/0000-0002-2138-6016"},"institutions":[{"id":"https://openalex.org/I145311948","display_name":"Johns Hopkins University","ror":"https://ror.org/00za53h95","country_code":"US","type":"education","lineage":["https://openalex.org/I145311948"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jiarui Wang","raw_affiliation_strings":["Computer Science Department, Johns Hopkins University, Baltimore, MD, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Science Department, Johns Hopkins University, Baltimore, MD, USA","institution_ids":["https://openalex.org/I145311948"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5043154223","display_name":"Mahyar Fazlyab","orcid":"https://orcid.org/0000-0001-9695-6178"},"institutions":[{"id":"https://openalex.org/I145311948","display_name":"Johns Hopkins University","ror":"https://ror.org/00za53h95","country_code":"US","type":"education","lineage":["https://openalex.org/I145311948"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mahyar Fazlyab","raw_affiliation_strings":["Electrical and Computer Engineering Department, Johns Hopkins University, Baltimore, MD, USA"],"raw_orcid":"https://orcid.org/0000-0001-9695-6178","affiliations":[{"raw_affiliation_string":"Electrical and Computer Engineering Department, Johns Hopkins University, Baltimore, MD, USA","institution_ids":["https://openalex.org/I145311948"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I145311948"],"apc_list":null,"apc_paid":null,"fwci":2.0646,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.86695845,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":98},"biblio":{"volume":"8","issue":null,"first_page":"1751","last_page":"1756"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9980000257492065,"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":0.9980000257492065,"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/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.9758999943733215,"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/T10462","display_name":"Reinforcement Learning in Robotics","score":0.9603999853134155,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.6626508235931396},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.4634961783885956},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.40819036960601807},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3912062644958496},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.38711637258529663},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.36741167306900024},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.36045607924461365},{"id":"https://openalex.org/keywords/theoretical-physics","display_name":"Theoretical physics","score":0.3443698287010193},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.24442484974861145},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.1580081582069397},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.12532943487167358}],"concepts":[{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.6626508235931396},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.4634961783885956},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.40819036960601807},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3912062644958496},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.38711637258529663},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.36741167306900024},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.36045607924461365},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.3443698287010193},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.24442484974861145},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.1580081582069397},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.12532943487167358}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/lcsys.2024.3416235","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcsys.2024.3416235","pdf_url":null,"source":{"id":"https://openalex.org/S4306422535","display_name":"IEEE Control Systems Letters","issn_l":"2475-1456","issn":["2475-1456"],"is_oa":false,"is_in_doaj":false,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Control Systems Letters","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5,"display_name":"Gender equality","id":"https://metadata.un.org/sdg/5"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320310145","display_name":"Johns Hopkins University","ror":"https://ror.org/00za53h95"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W1481397690","https://openalex.org/W1484739396","https://openalex.org/W1833752784","https://openalex.org/W1965640670","https://openalex.org/W2005229381","https://openalex.org/W2021313930","https://openalex.org/W2027029581","https://openalex.org/W2166280160","https://openalex.org/W2899283552","https://openalex.org/W2953722837","https://openalex.org/W2996333367","https://openalex.org/W3016425199","https://openalex.org/W3027266323","https://openalex.org/W3035702124","https://openalex.org/W3037114412","https://openalex.org/W3037593164","https://openalex.org/W3091671391","https://openalex.org/W3111609376","https://openalex.org/W3186624155","https://openalex.org/W4281702405","https://openalex.org/W4315489198","https://openalex.org/W4315606134","https://openalex.org/W4386285856","https://openalex.org/W4387886228","https://openalex.org/W4389821150","https://openalex.org/W4391900192","https://openalex.org/W4399767326","https://openalex.org/W6683195989","https://openalex.org/W6767277667","https://openalex.org/W6767977373","https://openalex.org/W6779657896","https://openalex.org/W6782293614","https://openalex.org/W6838786885","https://openalex.org/W6843646470","https://openalex.org/W6852545735","https://openalex.org/W6859313247","https://openalex.org/W6861215200"],"related_works":["https://openalex.org/W4327639156","https://openalex.org/W4283708569","https://openalex.org/W2483377186","https://openalex.org/W2117470699","https://openalex.org/W2101859637","https://openalex.org/W2234502090","https://openalex.org/W4388874082","https://openalex.org/W2099438021","https://openalex.org/W1971893211","https://openalex.org/W2374426356"],"abstract_inverted_index":{"Designing":[0],"control":[1,100,114],"policies":[2],"for":[3],"stabilization":[4],"tasks":[5],"with":[6,58],"provable":[7],"guarantees":[8],"is":[9,20,80],"a":[10,33,47,52,98,119],"long-standing":[11],"problem":[12],"in":[13,153],"nonlinear":[14],"control.":[15],"A":[16],"crucial":[17],"performance":[18],"metric":[19],"the":[21,24,37,66,73,81,92,113,126,138,154,157],"size":[22,155],"of":[23,27,36,69,83,95,97,130,156,160],"resulting":[25,67,158],"region":[26,68,94,129,159],"attraction,":[28],"which":[29,89],"essentially":[30],"serves":[31],"as":[32],"robustness":[34],"\u201cmargin\u201d":[35],"closed-loop":[38],"system":[39],"against":[40],"uncertainties.":[41],"In":[42],"this":[43],"letter,":[44],"we":[45,109,124],"propose":[46],"new":[48],"method":[49],"to":[50,64,77],"train":[51],"stabilizing":[53],"neural":[54],"network":[55],"controller":[56],"along":[57],"its":[59],"corresponding":[60],"Lyapunov":[61],"certificate,":[62],"aiming":[63],"maximize":[65],"attraction":[70,96,131],"while":[71],"respecting":[72],"actuation":[74],"constraints.":[75],"Crucial":[76],"our":[78],"approach":[79],"use":[82],"Zubov\u2019s":[84],"Partial":[85],"Differential":[86],"Equation":[87],"(PDE),":[88],"precisely":[90],"characterizes":[91],"true":[93],"given":[99],"policy.":[101],"Our":[102,141],"framework":[103],"follows":[104],"an":[105,134],"actor-critic":[106],"pattern":[107],"where":[108],"alternate":[110],"between":[111],"improving":[112],"policy":[115],"(actor)":[116],"and":[117,150],"learning":[118],"Zubov":[120],"function":[121],"(critic).":[122],"Finally,":[123],"compute":[125],"largest":[127],"certifiable":[128],"by":[132],"invoking":[133],"SMT":[135],"solver":[136],"after":[137],"training":[139],"procedure.":[140],"numerical":[142],"experiments":[143],"on":[144],"several":[145],"design":[146],"problems":[147],"show":[148],"consistent":[149],"significant":[151],"improvements":[152],"attraction.":[161]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":3}],"updated_date":"2025-12-21T01:58:51.020947","created_date":"2025-10-10T00:00:00"}