{"id":"https://openalex.org/W4413393821","doi":"https://doi.org/10.23919/acc63710.2025.11107491","title":"ReLU Neural Networks for Approximating Model Predictive Control: Complexity and Stability Guarantees","display_name":"ReLU Neural Networks for Approximating Model Predictive Control: Complexity and Stability Guarantees","publication_year":2025,"publication_date":"2025-07-08","ids":{"openalex":"https://openalex.org/W4413393821","doi":"https://doi.org/10.23919/acc63710.2025.11107491"},"language":"en","primary_location":{"id":"doi:10.23919/acc63710.2025.11107491","is_oa":false,"landing_page_url":"https://doi.org/10.23919/acc63710.2025.11107491","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2025 American Control Conference (ACC)","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/A5100749624","display_name":"Xingchen Li","orcid":"https://orcid.org/0000-0003-1582-9762"},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xingchen Li","raw_affiliation_strings":["Tsinghua University,Department of Automation, and Beijing National Research Center for Info. Sci. &#x0026; Tech. (BNRist),Beijing,China,100084"],"affiliations":[{"raw_affiliation_string":"Tsinghua University,Department of Automation, and Beijing National Research Center for Info. Sci. &#x0026; Tech. (BNRist),Beijing,China,100084","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5088962631","display_name":"Keyou You","orcid":"https://orcid.org/0000-0003-4355-5340"},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Keyou You","raw_affiliation_strings":["Tsinghua University,Department of Automation, and Beijing National Research Center for Info. Sci. &#x0026; Tech. (BNRist),Beijing,China,100084"],"affiliations":[{"raw_affiliation_string":"Tsinghua University,Department of Automation, and Beijing National Research Center for Info. Sci. &#x0026; Tech. (BNRist),Beijing,China,100084","institution_ids":["https://openalex.org/I99065089"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100749624"],"corresponding_institution_ids":["https://openalex.org/I99065089"],"apc_list":null,"apc_paid":null,"fwci":1.2604,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.83319502,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"27","last_page":"32"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9962000250816345,"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":0.9962000250816345,"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/T10876","display_name":"Fault Detection and Control Systems","score":0.984000027179718,"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/T11236","display_name":"Control Systems and Identification","score":0.9521999955177307,"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/model-predictive-control","display_name":"Model predictive control","score":0.6871377229690552},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6415284872055054},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6204625964164734},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.5807691216468811},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.40270155668258667},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3869647979736328},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3315655589103699},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.24376705288887024}],"concepts":[{"id":"https://openalex.org/C172205157","wikidata":"https://www.wikidata.org/wiki/Q1782962","display_name":"Model predictive control","level":3,"score":0.6871377229690552},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6415284872055054},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6204625964164734},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.5807691216468811},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.40270155668258667},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3869647979736328},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3315655589103699},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.24376705288887024}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.23919/acc63710.2025.11107491","is_oa":false,"landing_page_url":"https://doi.org/10.23919/acc63710.2025.11107491","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2025 American Control Conference (ACC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320329860","display_name":"National Science and Technology Major Project","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W124292005","https://openalex.org/W1993170675","https://openalex.org/W2020574634","https://openalex.org/W2031280071","https://openalex.org/W2115314075","https://openalex.org/W2118132161","https://openalex.org/W2131869695","https://openalex.org/W2145263350","https://openalex.org/W2168487450","https://openalex.org/W2743909828","https://openalex.org/W2749680651","https://openalex.org/W2810195925","https://openalex.org/W2896401806","https://openalex.org/W2897541745","https://openalex.org/W2948016596","https://openalex.org/W3007985585","https://openalex.org/W3185971845","https://openalex.org/W3194828218","https://openalex.org/W4308750860","https://openalex.org/W4379659731","https://openalex.org/W4409257343"],"related_works":["https://openalex.org/W1990079087","https://openalex.org/W3202234113","https://openalex.org/W2101188133","https://openalex.org/W4248731570","https://openalex.org/W2381210024","https://openalex.org/W2060165215","https://openalex.org/W2384015130","https://openalex.org/W4285595274","https://openalex.org/W81137451","https://openalex.org/W2556120871"],"abstract_inverted_index":{"Recently,":[0],"there":[1],"has":[2],"been":[3],"a":[4,117],"resurgence":[5],"in":[6,73],"research":[7],"focused":[8],"on":[9,51],"using":[10],"neural":[11],"networks":[12],"(NNs)":[13],"to":[14],"approximate":[15],"model":[16],"predictive":[17],"control":[18,37],"(MPC)":[19],"for":[20,59,120],"fast":[21],"optimization,":[22],"achieving":[23],"great":[24],"practical":[25],"success.":[26],"However,":[27],"the":[28,31,52,76,80,84,95,98,105,112],"relation":[29],"between":[30],"computational":[32],"complexity":[33],"of":[34,56,75,83,97,124],"NNs":[35,58],"and":[36,54,66,88],"performance":[38],"remains":[39],"an":[40],"open":[41],"question.":[42],"In":[43],"this":[44],"paper,":[45],"we":[46],"establish":[47],"explicit":[48],"upper":[49],"bounds":[50,70],"width":[53],"depth":[55,106],"ReLU":[57],"linear":[60],"MPC":[61],"approximation":[62,78],"with":[63],"constraint":[64,99],"satisfaction":[65],"stability":[67],"guarantees.":[68],"These":[69],"are":[71],"expressed":[72],"terms":[74],"desired":[77],"error,":[79],"problem":[81],"size":[82],"multi-parameter":[85],"quadratic":[86],"program":[87],"its":[89],"Lipschitz":[90],"constant,":[91],"as":[92,94],"well":[93],"shape":[96],"set.":[100],"We":[101],"find":[102],"that":[103],"increasing":[104,111],"is":[107],"more":[108],"effective":[109],"than":[110],"width.":[113],"Our":[114],"work":[115],"provides":[116],"theoretical":[118],"guide":[119],"designing":[121],"NN":[122],"approximations":[123],"MPC.":[125]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
