{"id":"https://openalex.org/W4315489085","doi":"https://doi.org/10.1109/cdc51059.2022.9992386","title":"Neural Lyapunov Differentiable Predictive Control","display_name":"Neural Lyapunov Differentiable Predictive Control","publication_year":2022,"publication_date":"2022-12-06","ids":{"openalex":"https://openalex.org/W4315489085","doi":"https://doi.org/10.1109/cdc51059.2022.9992386"},"language":"en","primary_location":{"id":"doi:10.1109/cdc51059.2022.9992386","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc51059.2022.9992386","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":"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/A5101731714","display_name":"Sayak Mukherjee","orcid":"https://orcid.org/0000-0001-8184-4755"},"institutions":[{"id":"https://openalex.org/I142606810","display_name":"Pacific Northwest National Laboratory","ror":"https://ror.org/05h992307","country_code":"US","type":"facility","lineage":["https://openalex.org/I1325736334","https://openalex.org/I1330989302","https://openalex.org/I142606810","https://openalex.org/I39565521"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Sayak Mukherjee","raw_affiliation_strings":["Pacific Northwest National Laboratory (PNNL),Richland,WA,USA","Pacific Northwest National Laboratory (PNNL), Richland, WA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Pacific Northwest National Laboratory (PNNL),Richland,WA,USA","institution_ids":["https://openalex.org/I142606810"]},{"raw_affiliation_string":"Pacific Northwest National Laboratory (PNNL), Richland, WA, USA","institution_ids":["https://openalex.org/I142606810"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5019969465","display_name":"J\u00e1n Drgo\u0148a","orcid":"https://orcid.org/0000-0003-1223-208X"},"institutions":[{"id":"https://openalex.org/I142606810","display_name":"Pacific Northwest National Laboratory","ror":"https://ror.org/05h992307","country_code":"US","type":"facility","lineage":["https://openalex.org/I1325736334","https://openalex.org/I1330989302","https://openalex.org/I142606810","https://openalex.org/I39565521"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jan Drgona","raw_affiliation_strings":["Pacific Northwest National Laboratory (PNNL),Richland,WA,USA","Pacific Northwest National Laboratory (PNNL), Richland, WA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Pacific Northwest National Laboratory (PNNL),Richland,WA,USA","institution_ids":["https://openalex.org/I142606810"]},{"raw_affiliation_string":"Pacific Northwest National Laboratory (PNNL), Richland, WA, USA","institution_ids":["https://openalex.org/I142606810"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075234282","display_name":"Aaron Tuor","orcid":"https://orcid.org/0000-0001-6951-1923"},"institutions":[{"id":"https://openalex.org/I142606810","display_name":"Pacific Northwest National Laboratory","ror":"https://ror.org/05h992307","country_code":"US","type":"facility","lineage":["https://openalex.org/I1325736334","https://openalex.org/I1330989302","https://openalex.org/I142606810","https://openalex.org/I39565521"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Aaron Tuor","raw_affiliation_strings":["Pacific Northwest National Laboratory (PNNL),Richland,WA,USA","Pacific Northwest National Laboratory (PNNL), Richland, WA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Pacific Northwest National Laboratory (PNNL),Richland,WA,USA","institution_ids":["https://openalex.org/I142606810"]},{"raw_affiliation_string":"Pacific Northwest National Laboratory (PNNL), Richland, WA, USA","institution_ids":["https://openalex.org/I142606810"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075175819","display_name":"Mahantesh Halappanavar","orcid":"https://orcid.org/0000-0002-2323-4753"},"institutions":[{"id":"https://openalex.org/I142606810","display_name":"Pacific Northwest National Laboratory","ror":"https://ror.org/05h992307","country_code":"US","type":"facility","lineage":["https://openalex.org/I1325736334","https://openalex.org/I1330989302","https://openalex.org/I142606810","https://openalex.org/I39565521"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mahantesh Halappanavar","raw_affiliation_strings":["Pacific Northwest National Laboratory (PNNL),Richland,WA,USA","Pacific Northwest National Laboratory (PNNL), Richland, WA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Pacific Northwest National Laboratory (PNNL),Richland,WA,USA","institution_ids":["https://openalex.org/I142606810"]},{"raw_affiliation_string":"Pacific Northwest National Laboratory (PNNL), Richland, WA, USA","institution_ids":["https://openalex.org/I142606810"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5047724723","display_name":"Draguna Vrabie","orcid":"https://orcid.org/0000-0002-1547-2049"},"institutions":[{"id":"https://openalex.org/I142606810","display_name":"Pacific Northwest National Laboratory","ror":"https://ror.org/05h992307","country_code":"US","type":"facility","lineage":["https://openalex.org/I1325736334","https://openalex.org/I1330989302","https://openalex.org/I142606810","https://openalex.org/I39565521"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Draguna Vrabie","raw_affiliation_strings":["Pacific Northwest National Laboratory (PNNL),Richland,WA,USA","Pacific Northwest National Laboratory (PNNL), Richland, WA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Pacific Northwest National Laboratory (PNNL),Richland,WA,USA","institution_ids":["https://openalex.org/I142606810"]},{"raw_affiliation_string":"Pacific Northwest National Laboratory (PNNL), Richland, WA, USA","institution_ids":["https://openalex.org/I142606810"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.2091,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.96619038,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"2097","last_page":"2104"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9986000061035156,"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":0.9986000061035156,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.9891999959945679,"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/T10876","display_name":"Fault Detection and Control Systems","score":0.988099992275238,"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/lyapunov-function","display_name":"Lyapunov function","score":0.7928981781005859},{"id":"https://openalex.org/keywords/differentiable-function","display_name":"Differentiable function","score":0.7130693793296814},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6552312970161438},{"id":"https://openalex.org/keywords/model-predictive-control","display_name":"Model predictive control","score":0.6141763925552368},{"id":"https://openalex.org/keywords/lyapunov-optimization","display_name":"Lyapunov optimization","score":0.5608784556388855},{"id":"https://openalex.org/keywords/control-lyapunov-function","display_name":"Control-Lyapunov function","score":0.5366228818893433},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5236777663230896},{"id":"https://openalex.org/keywords/lyapunov-redesign","display_name":"Lyapunov redesign","score":0.5203208923339844},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.5131138563156128},{"id":"https://openalex.org/keywords/double-integrator","display_name":"Double integrator","score":0.4809233844280243},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.44309112429618835},{"id":"https://openalex.org/keywords/lyapunov-equation","display_name":"Lyapunov equation","score":0.44008713960647583},{"id":"https://openalex.org/keywords/lyapunov-exponent","display_name":"Lyapunov exponent","score":0.41231244802474976},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.34944838285446167},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3477088510990143},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.25855958461761475},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.21567419171333313},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.10780006647109985},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.07515990734100342}],"concepts":[{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.7928981781005859},{"id":"https://openalex.org/C202615002","wikidata":"https://www.wikidata.org/wiki/Q783507","display_name":"Differentiable function","level":2,"score":0.7130693793296814},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6552312970161438},{"id":"https://openalex.org/C172205157","wikidata":"https://www.wikidata.org/wiki/Q1782962","display_name":"Model predictive control","level":3,"score":0.6141763925552368},{"id":"https://openalex.org/C101403955","wikidata":"https://www.wikidata.org/wiki/Q6707083","display_name":"Lyapunov optimization","level":5,"score":0.5608784556388855},{"id":"https://openalex.org/C201030206","wikidata":"https://www.wikidata.org/wiki/Q5165805","display_name":"Control-Lyapunov function","level":5,"score":0.5366228818893433},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5236777663230896},{"id":"https://openalex.org/C37935115","wikidata":"https://www.wikidata.org/wiki/Q6707085","display_name":"Lyapunov redesign","level":4,"score":0.5203208923339844},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.5131138563156128},{"id":"https://openalex.org/C2779323837","wikidata":"https://www.wikidata.org/wiki/Q5300045","display_name":"Double integrator","level":3,"score":0.4809233844280243},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.44309112429618835},{"id":"https://openalex.org/C25854792","wikidata":"https://www.wikidata.org/wiki/Q1028945","display_name":"Lyapunov equation","level":4,"score":0.44008713960647583},{"id":"https://openalex.org/C191544260","wikidata":"https://www.wikidata.org/wiki/Q1238630","display_name":"Lyapunov exponent","level":3,"score":0.41231244802474976},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.34944838285446167},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3477088510990143},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.25855958461761475},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.21567419171333313},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.10780006647109985},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.07515990734100342},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc51059.2022.9992386","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc51059.2022.9992386","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"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Partnerships for the goals","id":"https://metadata.un.org/sdg/17","score":0.4099999964237213}],"awards":[],"funders":[{"id":"https://openalex.org/F4320306084","display_name":"U.S. Department of Energy","ror":"https://ror.org/01bj3aw27"},{"id":"https://openalex.org/F4320306250","display_name":"Battelle","ror":"https://ror.org/01h5tnr73"},{"id":"https://openalex.org/F4320337506","display_name":"Advanced Scientific Computing Research","ror":"https://ror.org/0012c7r22"},{"id":"https://openalex.org/F4320338354","display_name":"Pacific Northwest National Laboratory","ror":"https://ror.org/05h992307"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":61,"referenced_works":["https://openalex.org/W124292005","https://openalex.org/W1502680304","https://openalex.org/W1763790326","https://openalex.org/W1923344279","https://openalex.org/W1988555782","https://openalex.org/W1993170675","https://openalex.org/W2006859604","https://openalex.org/W2030469774","https://openalex.org/W2188266622","https://openalex.org/W2525954470","https://openalex.org/W2788071227","https://openalex.org/W2792270834","https://openalex.org/W2807706315","https://openalex.org/W2810195925","https://openalex.org/W2889731659","https://openalex.org/W2900806034","https://openalex.org/W2908510526","https://openalex.org/W2911794543","https://openalex.org/W2919173505","https://openalex.org/W2948652605","https://openalex.org/W2962928577","https://openalex.org/W2963999210","https://openalex.org/W2970795963","https://openalex.org/W2981603589","https://openalex.org/W2982605690","https://openalex.org/W2985363569","https://openalex.org/W2992833799","https://openalex.org/W2998959212","https://openalex.org/W2999054007","https://openalex.org/W3088775936","https://openalex.org/W3098187358","https://openalex.org/W3101479673","https://openalex.org/W3117881175","https://openalex.org/W3153251967","https://openalex.org/W3186347355","https://openalex.org/W3199664591","https://openalex.org/W3208705304","https://openalex.org/W4226171194","https://openalex.org/W4243369158","https://openalex.org/W4285876513","https://openalex.org/W4287597463","https://openalex.org/W4287865462","https://openalex.org/W4288089864","https://openalex.org/W4295312788","https://openalex.org/W4297731728","https://openalex.org/W4312986614","https://openalex.org/W6635127731","https://openalex.org/W6640325754","https://openalex.org/W6727685206","https://openalex.org/W6747798087","https://openalex.org/W6752383024","https://openalex.org/W6754302822","https://openalex.org/W6757817989","https://openalex.org/W6766978945","https://openalex.org/W6767081328","https://openalex.org/W6767277667","https://openalex.org/W6767977373","https://openalex.org/W6772082531","https://openalex.org/W6785513857","https://openalex.org/W6796341246","https://openalex.org/W6839855682"],"related_works":["https://openalex.org/W3217133416","https://openalex.org/W2383986032","https://openalex.org/W2349796700","https://openalex.org/W1975178315","https://openalex.org/W2534107666","https://openalex.org/W1970635650","https://openalex.org/W2496188264","https://openalex.org/W3194517843","https://openalex.org/W2126112326","https://openalex.org/W2588600327"],"abstract_inverted_index":{"We":[0,76,112],"present":[1],"a":[2,29,64,79,99],"learning-based":[3],"predictive":[4,21,109],"control":[5,22,110],"methodology":[6],"using":[7,48],"the":[8,25,33,41,49,54,69,84,89,114,117,124],"differentiable":[9,20],"programming":[10],"framework":[11],"with":[12,73,120],"probabilistic":[13],"Lyapunov-based":[14],"stability":[15],"guarantees.":[16],"The":[17],"neural":[18,55],"Lyapunov":[19,43,65],"(NLDPC)":[23],"learns":[24,63],"policy":[26,56],"by":[27],"constructing":[28],"computational":[30],"graph":[31],"encompassing":[32],"system":[34],"dynamics,":[35],"state":[36],"and":[37,40,46,102,128],"input":[38],"constraints,":[39,45],"necessary":[42],"certification":[44],"thereafter":[47],"automatic":[50],"differentiation":[51],"to":[52,105,122],"update":[53],"parameters.":[57],"In":[58],"conjunction,":[59],"our":[60],"approach":[61,97,119],"jointly":[62],"function":[66],"that":[67],"certifies":[68],"regions":[70],"of":[71,86,91,116,132],"state-space":[72],"stable":[74],"dynamics.":[75],"also":[77],"provide":[78],"sampling-based":[80],"statistical":[81],"guarantee":[82],"for":[83],"training":[85,96],"NLDPC":[87],"from":[88],"distribution":[90],"initial":[92],"conditions.":[93],"Our":[94],"offline":[95],"provides":[98],"computationally":[100],"efficient":[101],"scalable":[103],"alternative":[104],"classical":[106],"explicit":[107],"model":[108,127],"solutions.":[111],"substantiate":[113],"advantages":[115],"proposed":[118],"simulations":[121],"stabilize":[123],"double":[125],"integrator":[126],"on":[129],"an":[130,134],"example":[131],"controlling":[133],"aircraft":[135],"model.":[136]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
