{"id":"https://openalex.org/W4402264351","doi":"https://doi.org/10.23919/acc60939.2024.10644573","title":"Hybrid Zonotope-Based Backward Reachability Analysis for Neural Feedback Systems With Nonlinear Plant Models","display_name":"Hybrid Zonotope-Based Backward Reachability Analysis for Neural Feedback Systems With Nonlinear Plant Models","publication_year":2024,"publication_date":"2024-07-10","ids":{"openalex":"https://openalex.org/W4402264351","doi":"https://doi.org/10.23919/acc60939.2024.10644573"},"language":"en","primary_location":{"id":"doi:10.23919/acc60939.2024.10644573","is_oa":false,"landing_page_url":"https://doi.org/10.23919/acc60939.2024.10644573","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2024 American Control Conference (ACC)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5100438486","display_name":"Hang Zhang","orcid":"https://orcid.org/0009-0007-0880-7756"},"institutions":[{"id":"https://openalex.org/I135310074","display_name":"University of Wisconsin\u2013Madison","ror":"https://ror.org/01y2jtd41","country_code":"US","type":"education","lineage":["https://openalex.org/I135310074"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Hang Zhang","raw_affiliation_strings":["University of Wisconsin-Madison,Department of Mechanical Engineering,Madison,WI,USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Wisconsin-Madison,Department of Mechanical Engineering,Madison,WI,USA","institution_ids":["https://openalex.org/I135310074"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100349346","display_name":"Yuhao Zhang","orcid":"https://orcid.org/0000-0002-2814-7317"},"institutions":[{"id":"https://openalex.org/I135310074","display_name":"University of Wisconsin\u2013Madison","ror":"https://ror.org/01y2jtd41","country_code":"US","type":"education","lineage":["https://openalex.org/I135310074"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yuhao Zhang","raw_affiliation_strings":["University of Wisconsin-Madison,Department of Mechanical Engineering,Madison,WI,USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Wisconsin-Madison,Department of Mechanical Engineering,Madison,WI,USA","institution_ids":["https://openalex.org/I135310074"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5033195779","display_name":"Xiangru Xu","orcid":"https://orcid.org/0000-0003-1367-6790"},"institutions":[{"id":"https://openalex.org/I135310074","display_name":"University of Wisconsin\u2013Madison","ror":"https://ror.org/01y2jtd41","country_code":"US","type":"education","lineage":["https://openalex.org/I135310074"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Xiangru Xu","raw_affiliation_strings":["University of Wisconsin-Madison,Department of Mechanical Engineering,Madison,WI,USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Wisconsin-Madison,Department of Mechanical Engineering,Madison,WI,USA","institution_ids":["https://openalex.org/I135310074"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I135310074"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"4155","last_page":"4161"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9987999796867371,"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/T11236","display_name":"Control Systems and Identification","score":0.9987999796867371,"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":0.9970999956130981,"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/T10320","display_name":"Neural Networks and Applications","score":0.9966999888420105,"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/reachability","display_name":"Reachability","score":0.8977619409561157},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6914918422698975},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6682864427566528},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.521155595779419},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3746798634529114},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.29075586795806885},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.0738966166973114}],"concepts":[{"id":"https://openalex.org/C136643341","wikidata":"https://www.wikidata.org/wiki/Q1361526","display_name":"Reachability","level":2,"score":0.8977619409561157},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6914918422698975},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6682864427566528},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.521155595779419},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3746798634529114},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.29075586795806885},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0738966166973114},{"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:10.23919/acc60939.2024.10644573","is_oa":false,"landing_page_url":"https://doi.org/10.23919/acc60939.2024.10644573","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2024 American Control Conference (ACC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/13","display_name":"Climate action","score":0.6899999976158142}],"awards":[{"id":"https://openalex.org/G7561726840","display_name":null,"funder_award_id":"CMMI-2237850,CNS-2222541","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W1677182931","https://openalex.org/W1988622494","https://openalex.org/W2033898752","https://openalex.org/W2116364955","https://openalex.org/W2183898569","https://openalex.org/W2938701611","https://openalex.org/W2963178695","https://openalex.org/W2980176926","https://openalex.org/W3046272654","https://openalex.org/W3117881175","https://openalex.org/W3175238547","https://openalex.org/W3205832376","https://openalex.org/W4205769897","https://openalex.org/W4206101760","https://openalex.org/W4283791586","https://openalex.org/W4293243623","https://openalex.org/W4313679833","https://openalex.org/W4315488706","https://openalex.org/W4315488781","https://openalex.org/W4364322337","https://openalex.org/W4366197198","https://openalex.org/W4379165537","https://openalex.org/W4382119389","https://openalex.org/W4382935779","https://openalex.org/W4382935858","https://openalex.org/W4391020022","https://openalex.org/W4402264351","https://openalex.org/W6685820758","https://openalex.org/W6800464454","https://openalex.org/W6889126391"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2748952813","https://openalex.org/W2127267268","https://openalex.org/W2136512912","https://openalex.org/W2067910792","https://openalex.org/W2156446763","https://openalex.org/W2150194458","https://openalex.org/W2143461633","https://openalex.org/W4321471459","https://openalex.org/W2889071233"],"abstract_inverted_index":{"The":[0],"increasing":[1],"prevalence":[2],"of":[3,23,39,79,91],"neural":[4,44],"networks":[5],"in":[6],"safety-critical":[7],"control":[8],"systems":[9,46],"underscores":[10],"the":[11,19,37,63,76,80,89,92],"imperative":[12],"need":[13],"for":[14,43,62],"rigorous":[15],"methods":[16],"to":[17,35,74,87],"ensure":[18],"reliability":[20],"and":[21,51,68],"safety":[22],"these":[24],"systems.":[25],"This":[26],"work":[27],"introduces":[28],"a":[29,69],"novel":[30],"approach":[31],"employing":[32],"hybrid":[33,58],"zonotopes":[34,59],"compute":[36],"over-approximation":[38],"backward":[40,65],"reachable":[41,66],"sets":[42],"feedback":[45],"with":[47],"non-linear":[48],"plant":[49],"models":[50],"general":[52],"activation":[53],"functions.":[54],"Closed-form":[55],"expressions":[56],"as":[57],"are":[60,85],"provided":[61,86],"over-approximated":[64],"sets,":[67],"refinement":[70],"procedure":[71],"is":[72],"proposed":[73,93],"alleviate":[75],"potential":[77],"conservatism":[78],"approximation.":[81],"Two":[82],"numerical":[83],"examples":[84],"illustrate":[88],"effectiveness":[90],"approach.":[94]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}