{"id":"https://openalex.org/W3199458167","doi":"https://doi.org/10.23919/acc53348.2022.9867619","title":"Neural network optimal feedback control with enhanced closed loop stability","display_name":"Neural network optimal feedback control with enhanced closed loop stability","publication_year":2022,"publication_date":"2022-06-08","ids":{"openalex":"https://openalex.org/W3199458167","doi":"https://doi.org/10.23919/acc53348.2022.9867619","mag":"3199458167"},"language":"en","primary_location":{"id":"doi:10.23919/acc53348.2022.9867619","is_oa":false,"landing_page_url":"https://doi.org/10.23919/acc53348.2022.9867619","pdf_url":null,"source":{"id":"https://openalex.org/S4363607732","display_name":"2022 American Control Conference (ACC)","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 American Control Conference (ACC)","raw_type":"proceedings-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2109.07466","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5023374462","display_name":"Tenavi Nakamura-Zimmerer","orcid":"https://orcid.org/0000-0003-2127-1013"},"institutions":[{"id":"https://openalex.org/I185103710","display_name":"University of California, Santa Cruz","ror":"https://ror.org/03s65by71","country_code":"US","type":"education","lineage":["https://openalex.org/I185103710"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Tenavi Nakamura-Zimmerer","raw_affiliation_strings":["University of California,Baskin School of Engineering,Department of Applied Mathematics,Santa Cruz,CA","Department of Applied Mathematics, Baskin School of Engineering, University of California, Santa Cruz, CA"],"affiliations":[{"raw_affiliation_string":"University of California,Baskin School of Engineering,Department of Applied Mathematics,Santa Cruz,CA","institution_ids":["https://openalex.org/I185103710"]},{"raw_affiliation_string":"Department of Applied Mathematics, Baskin School of Engineering, University of California, Santa Cruz, CA","institution_ids":["https://openalex.org/I185103710"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5069454917","display_name":"Qi Gong","orcid":"https://orcid.org/0000-0003-0398-5792"},"institutions":[{"id":"https://openalex.org/I185103710","display_name":"University of California, Santa Cruz","ror":"https://ror.org/03s65by71","country_code":"US","type":"education","lineage":["https://openalex.org/I185103710"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Qi Gong","raw_affiliation_strings":["University of California,Baskin School of Engineering,Department of Applied Mathematics,Santa Cruz,CA","Department of Applied Mathematics, Baskin School of Engineering, University of California, Santa Cruz, CA"],"affiliations":[{"raw_affiliation_string":"University of California,Baskin School of Engineering,Department of Applied Mathematics,Santa Cruz,CA","institution_ids":["https://openalex.org/I185103710"]},{"raw_affiliation_string":"Department of Applied Mathematics, Baskin School of Engineering, University of California, Santa Cruz, CA","institution_ids":["https://openalex.org/I185103710"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100751181","display_name":"Wei Kang","orcid":"https://orcid.org/0000-0002-1194-722X"},"institutions":[{"id":"https://openalex.org/I35364215","display_name":"Naval Postgraduate School","ror":"https://ror.org/033yfkj90","country_code":"US","type":"education","lineage":["https://openalex.org/I1330347796","https://openalex.org/I3130687028","https://openalex.org/I35364215"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Wei Kang","raw_affiliation_strings":["Naval Postgraduate School,Department of Applied Mathematics,Monterery,CA","Department of Applied Mathematics, Naval Postgraduate School, Monterery, CA"],"affiliations":[{"raw_affiliation_string":"Naval Postgraduate School,Department of Applied Mathematics,Monterery,CA","institution_ids":["https://openalex.org/I35364215"]},{"raw_affiliation_string":"Department of Applied Mathematics, Naval Postgraduate School, Monterery, CA","institution_ids":["https://openalex.org/I35364215"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5023374462"],"corresponding_institution_ids":["https://openalex.org/I185103710"],"apc_list":null,"apc_paid":null,"fwci":1.4561,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.77485929,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"2373","last_page":"2378"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9998000264167786,"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":0.9998000264167786,"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/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9975000023841858,"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/T12794","display_name":"Adaptive Dynamic Programming Control","score":0.9969000220298767,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/control-theory","display_name":"Control theory (sociology)","score":0.7471269369125366},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6575431227684021},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.6544928550720215},{"id":"https://openalex.org/keywords/intuition","display_name":"Intuition","score":0.6190395355224609},{"id":"https://openalex.org/keywords/linear-quadratic-regulator","display_name":"Linear-quadratic regulator","score":0.5990190505981445},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5810723304748535},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5104624032974243},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.4647815227508545},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.4505414068698883},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.4491904079914093},{"id":"https://openalex.org/keywords/feedback-control","display_name":"Feedback control","score":0.43277496099472046},{"id":"https://openalex.org/keywords/control-engineering","display_name":"Control engineering","score":0.3904953598976135},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.26384437084198},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.23005303740501404},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.1720336675643921},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.16906392574310303},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.1578337848186493},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.1390565037727356}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7471269369125366},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6575431227684021},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.6544928550720215},{"id":"https://openalex.org/C132010649","wikidata":"https://www.wikidata.org/wiki/Q189222","display_name":"Intuition","level":2,"score":0.6190395355224609},{"id":"https://openalex.org/C98779006","wikidata":"https://www.wikidata.org/wiki/Q2520550","display_name":"Linear-quadratic regulator","level":3,"score":0.5990190505981445},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5810723304748535},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5104624032974243},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.4647815227508545},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.4505414068698883},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.4491904079914093},{"id":"https://openalex.org/C3018651601","wikidata":"https://www.wikidata.org/wiki/Q183635","display_name":"Feedback control","level":2,"score":0.43277496099472046},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.3904953598976135},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.26384437084198},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.23005303740501404},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.1720336675643921},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.16906392574310303},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.1578337848186493},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.1390565037727356},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","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":2,"locations":[{"id":"doi:10.23919/acc53348.2022.9867619","is_oa":false,"landing_page_url":"https://doi.org/10.23919/acc53348.2022.9867619","pdf_url":null,"source":{"id":"https://openalex.org/S4363607732","display_name":"2022 American Control Conference (ACC)","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 American Control Conference (ACC)","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:2109.07466","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2109.07466","pdf_url":"https://arxiv.org/pdf/2109.07466","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2109.07466","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2109.07466","pdf_url":"https://arxiv.org/pdf/2109.07466","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320338279","display_name":"Air Force Office of Scientific Research","ror":"https://ror.org/011e9bt93"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W1587799944","https://openalex.org/W1987361260","https://openalex.org/W2000359198","https://openalex.org/W2077730310","https://openalex.org/W2091510786","https://openalex.org/W2108286682","https://openalex.org/W2108984317","https://openalex.org/W2130938611","https://openalex.org/W2162218551","https://openalex.org/W2324093717","https://openalex.org/W2546070262","https://openalex.org/W2588542536","https://openalex.org/W2610216665","https://openalex.org/W2749028154","https://openalex.org/W2749408143","https://openalex.org/W2803629276","https://openalex.org/W2959078751","https://openalex.org/W2962939261","https://openalex.org/W2964179106","https://openalex.org/W2971638107","https://openalex.org/W3045707663","https://openalex.org/W3045747378","https://openalex.org/W3045889500","https://openalex.org/W3046166769","https://openalex.org/W3086293388","https://openalex.org/W3091671391","https://openalex.org/W3098623180","https://openalex.org/W3101159108","https://openalex.org/W3112673444","https://openalex.org/W3115087407","https://openalex.org/W3122712863","https://openalex.org/W3124567118","https://openalex.org/W3135337343","https://openalex.org/W3149091143","https://openalex.org/W3150654747","https://openalex.org/W3171862468","https://openalex.org/W3207925789","https://openalex.org/W4239369248","https://openalex.org/W4296154082","https://openalex.org/W6786701152","https://openalex.org/W6803071313"],"related_works":["https://openalex.org/W2364252372","https://openalex.org/W4234066492","https://openalex.org/W1998063895","https://openalex.org/W1967044713","https://openalex.org/W2133470120","https://openalex.org/W1994286895","https://openalex.org/W2747625183","https://openalex.org/W2080622457","https://openalex.org/W2203843426","https://openalex.org/W2049369111"],"abstract_inverted_index":{"Recent":[0],"research":[1],"has":[2],"shown":[3],"that":[4,45,99],"supervised":[5],"learning":[6],"can":[7,72],"be":[8],"an":[9,57],"effective":[10],"tool":[11],"for":[12,17],"designing":[13],"optimal":[14],"feedback":[15,106],"controllers":[16,30,107],"high-dimensional":[18],"nonlinear":[19],"dynamic":[20],"systems.":[21],"But":[22],"the":[23,54,76,100],"behavior":[24],"of":[25,56],"these":[26],"neural":[27],"network":[28],"(NN)":[29],"is":[31],"still":[32],"not":[33,51],"well":[34],"understood.":[35],"In":[36,64],"this":[37,80],"paper":[38],"we":[39,81],"use":[40],"numerical":[41],"simulations":[42,95],"to":[43,60,74],"demonstrate":[44],"typical":[46],"test":[47,70],"accuracy":[48,71],"metrics":[49],"do":[50],"effectively":[52],"capture":[53],"ability":[55],"NN":[58,84],"controller":[59],"stabilize":[61,75],"a":[62,89],"system.":[63],"particular,":[65],"some":[66],"NNs":[67],"with":[68],"high":[69],"fail":[73],"dynamics.":[77],"To":[78],"address":[79],"propose":[82],"two":[83],"architectures":[85,102],"which":[86],"locally":[87],"approximate":[88],"linear":[90],"quadratic":[91],"regulator":[92],"(LQR).":[93],"Numerical":[94],"confirm":[96],"our":[97],"intuition":[98],"proposed":[101],"reliably":[103],"produce":[104],"stabilizing":[105],"without":[108],"sacrificing":[109],"optimality.":[110]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":3}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}