{"id":"https://openalex.org/W4396523541","doi":"https://doi.org/10.1109/tcsi.2024.3386506","title":"Adaptive Neural Stochastic Control With Lipschitz Constant Optimization","display_name":"Adaptive Neural Stochastic Control With Lipschitz Constant Optimization","publication_year":2024,"publication_date":"2024-04-30","ids":{"openalex":"https://openalex.org/W4396523541","doi":"https://doi.org/10.1109/tcsi.2024.3386506"},"language":"en","primary_location":{"id":"doi:10.1109/tcsi.2024.3386506","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1109/tcsi.2024.3386506","pdf_url":null,"source":{"id":"https://openalex.org/S116977442","display_name":"IEEE Transactions on Circuits and Systems I Regular Papers","issn_l":"1549-8328","issn":["1549-8328","1558-0806"],"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 Transactions on Circuits and Systems I: Regular Papers","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/A5075987427","display_name":"Lian Geng","orcid":"https://orcid.org/0000-0001-6109-2162"},"institutions":[{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lian Geng","raw_affiliation_strings":["School of Automation Science and Electrical Engineering, Beihang University, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Automation Science and Electrical Engineering, Beihang University, Beijing, China","institution_ids":["https://openalex.org/I82880672"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001372270","display_name":"Qingyu Qu","orcid":"https://orcid.org/0000-0003-1703-5739"},"institutions":[{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qingyu Qu","raw_affiliation_strings":["School of Automation Science and Electrical Engineering, Beihang University, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Automation Science and Electrical Engineering, Beihang University, Beijing, China","institution_ids":["https://openalex.org/I82880672"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082230080","display_name":"Maopeng Ran","orcid":"https://orcid.org/0000-0003-0984-144X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Maopeng Ran","raw_affiliation_strings":["resides in Beijing, Beijing, P. R. China"],"raw_orcid":"https://orcid.org/0000-0003-0984-144X","affiliations":[{"raw_affiliation_string":"resides in Beijing, Beijing, P. R. China","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100451446","display_name":"Kexin Liu","orcid":"https://orcid.org/0000-0003-4328-6339"},"institutions":[{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Kexin Liu","raw_affiliation_strings":["School of Automation Science and Electrical Engineering, National Key Laboratory of Multi-Perch Vehicle Power Driving System Science and Technology, Beihang University, Beijing, China","National Key Laboratory of Multi-Perch Vehicle Power Driving System Science and Technology, School of Automation Science and Electrical Engineering, Beihang University, Beijing, China","Zhongguancun Laboratory, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0003-4328-6339","affiliations":[{"raw_affiliation_string":"School of Automation Science and Electrical Engineering, National Key Laboratory of Multi-Perch Vehicle Power Driving System Science and Technology, Beihang University, Beijing, China","institution_ids":["https://openalex.org/I82880672"]},{"raw_affiliation_string":"National Key Laboratory of Multi-Perch Vehicle Power Driving System Science and Technology, School of Automation Science and Electrical Engineering, Beihang University, Beijing, China","institution_ids":["https://openalex.org/I82880672"]},{"raw_affiliation_string":"Zhongguancun Laboratory, Beijing, China","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5027725400","display_name":"Jinhu L\u00fc","orcid":"https://orcid.org/0000-0003-0275-8387"},"institutions":[{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jinhu L\u00fc","raw_affiliation_strings":["School of Automation Science and Electrical Engineering, National Key Laboratory of Multi-Perch Vehicle Power Driving System Science and Technology, Beihang University, Beijing, China","National Key Laboratory of Multi-Perch Vehicle Power Driving System Science and Technology, School of Automation Science and Electrical Engineering, Beihang University, Beijing, China","Zhongguancun Laboratory, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0003-0275-8387","affiliations":[{"raw_affiliation_string":"School of Automation Science and Electrical Engineering, National Key Laboratory of Multi-Perch Vehicle Power Driving System Science and Technology, Beihang University, Beijing, China","institution_ids":["https://openalex.org/I82880672"]},{"raw_affiliation_string":"National Key Laboratory of Multi-Perch Vehicle Power Driving System Science and Technology, School of Automation Science and Electrical Engineering, Beihang University, Beijing, China","institution_ids":["https://openalex.org/I82880672"]},{"raw_affiliation_string":"Zhongguancun Laboratory, Beijing, China","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.02819625,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"71","issue":"7","first_page":"3294","last_page":"3306"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10502","display_name":"Advanced Memory and Neural Computing","score":0.9961000084877014,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T10502","display_name":"Advanced Memory and Neural Computing","score":0.9961000084877014,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.994700014591217,"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":0.9853000044822693,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/lipschitz-continuity","display_name":"Lipschitz continuity","score":0.8700107336044312},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6466646194458008},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.6127322316169739},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.5483277440071106},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.5457429885864258},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5296717882156372},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5019364356994629},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.4670860767364502},{"id":"https://openalex.org/keywords/stochastic-optimization","display_name":"Stochastic optimization","score":0.4650844931602478},{"id":"https://openalex.org/keywords/adaptive-control","display_name":"Adaptive control","score":0.4300585389137268},{"id":"https://openalex.org/keywords/stochastic-neural-network","display_name":"Stochastic neural network","score":0.4244529902935028},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.385858416557312},{"id":"https://openalex.org/keywords/recurrent-neural-network","display_name":"Recurrent neural network","score":0.1443183422088623},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10528728365898132},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.10022029280662537},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09941312670707703}],"concepts":[{"id":"https://openalex.org/C22324862","wikidata":"https://www.wikidata.org/wiki/Q652707","display_name":"Lipschitz continuity","level":2,"score":0.8700107336044312},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6466646194458008},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.6127322316169739},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.5483277440071106},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.5457429885864258},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5296717882156372},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5019364356994629},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.4670860767364502},{"id":"https://openalex.org/C194387892","wikidata":"https://www.wikidata.org/wiki/Q1747770","display_name":"Stochastic optimization","level":2,"score":0.4650844931602478},{"id":"https://openalex.org/C107464732","wikidata":"https://www.wikidata.org/wiki/Q235781","display_name":"Adaptive control","level":3,"score":0.4300585389137268},{"id":"https://openalex.org/C86582703","wikidata":"https://www.wikidata.org/wiki/Q7617824","display_name":"Stochastic neural network","level":4,"score":0.4244529902935028},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.385858416557312},{"id":"https://openalex.org/C147168706","wikidata":"https://www.wikidata.org/wiki/Q1457734","display_name":"Recurrent neural network","level":3,"score":0.1443183422088623},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10528728365898132},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.10022029280662537},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09941312670707703},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tcsi.2024.3386506","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1109/tcsi.2024.3386506","pdf_url":null,"source":{"id":"https://openalex.org/S116977442","display_name":"IEEE Transactions on Circuits and Systems I Regular Papers","issn_l":"1549-8328","issn":["1549-8328","1558-0806"],"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 Transactions on Circuits and Systems I: Regular Papers","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.6000000238418579}],"awards":[{"id":"https://openalex.org/G1096605759","display_name":null,"funder_award_id":"62041604","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4769285672","display_name":null,"funder_award_id":"92067204","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W82281344","https://openalex.org/W1489872560","https://openalex.org/W2037603831","https://openalex.org/W2063490625","https://openalex.org/W2129863797","https://openalex.org/W2137497665","https://openalex.org/W2785678896","https://openalex.org/W2789897185","https://openalex.org/W2804893772","https://openalex.org/W2964337106","https://openalex.org/W2981164341","https://openalex.org/W2999467926","https://openalex.org/W3021399679","https://openalex.org/W3022782115","https://openalex.org/W3033405912","https://openalex.org/W3044469132","https://openalex.org/W3045566279","https://openalex.org/W3082066778","https://openalex.org/W3098188269","https://openalex.org/W3116868211","https://openalex.org/W3117881175","https://openalex.org/W3118535916","https://openalex.org/W3154632874","https://openalex.org/W3195968524","https://openalex.org/W3213596036","https://openalex.org/W4205841389","https://openalex.org/W4210349806","https://openalex.org/W4210687990","https://openalex.org/W4213433886","https://openalex.org/W4285310987","https://openalex.org/W4313028595","https://openalex.org/W4317466250","https://openalex.org/W4352976855","https://openalex.org/W4382203023","https://openalex.org/W4386634492","https://openalex.org/W6748582592","https://openalex.org/W6763711611"],"related_works":["https://openalex.org/W3185235544","https://openalex.org/W4297791327","https://openalex.org/W2897842840","https://openalex.org/W2911623553","https://openalex.org/W2377757044","https://openalex.org/W3109737792","https://openalex.org/W4224283474","https://openalex.org/W2032498945","https://openalex.org/W2134401588","https://openalex.org/W3150057971"],"abstract_inverted_index":{"An":[0],"adaptive":[1,22],"neural":[2,40,49],"stochastic":[3,15,41],"contraction":[4,42],"metric":[5,43,85],"with":[6,17,31,92],"Lipschitz":[7,54,59,80,94],"constant":[8,55,95],"optimization":[9,60,67],"(aNSCM-Lip)":[10],"is":[11,24,36],"proposed":[12,122],"for":[13,101],"It":[14],"systems":[16],"unmatched":[18],"parameter":[19],"uncertainties.":[20],"The":[21,89],"law":[23],"designed":[25],"via":[26],"the":[27,39,70,79,83,102,116,121],"certainty":[28],"equivalence":[29],"principle":[30],"incremental":[32],"stability":[33,99],"guarantee,":[34],"which":[35,77],"specified":[37],"by":[38],"(NSCM).":[44],"Then,":[45],"we":[46],"develop":[47],"a":[48,93],"network":[50,84,97],"(NN)":[51],"based":[52],"on":[53],"estimation":[56],"and":[57,61,86,108,118],"optimization.":[58],"weights":[62],"training":[63],"are":[64,112],"formulated":[65],"as":[66],"problems":[68],"utilizing":[69],"alternating":[71],"direction":[72],"method":[73],"of":[74,82,120],"multipliers":[75],"(ADMM),":[76],"ensures":[78],"continuity":[81],"its":[87],"derivative.":[88],"learning-based":[90],"controller":[91],"optimized":[96],"provides":[98],"certificates":[100],"closed-loop":[103],"system.":[104],"DC-DC":[105],"buck":[106],"vector":[107],"single-joint":[109],"manipulator":[110],"examples":[111],"given":[113],"to":[114],"demonstrate":[115],"effectiveness":[117],"superiority":[119],"control":[123],"strategy.":[124]},"counts_by_year":[],"updated_date":"2026-07-26T07:53:14.480251","created_date":"2025-10-10T00:00:00"}