{"id":"https://openalex.org/W4407951399","doi":"https://doi.org/10.1109/cdc56724.2024.10886414","title":"Reachability analysis for piecewise affine systems with neural network-based controllers","display_name":"Reachability analysis for piecewise affine systems with neural network-based controllers","publication_year":2024,"publication_date":"2024-12-16","ids":{"openalex":"https://openalex.org/W4407951399","doi":"https://doi.org/10.1109/cdc56724.2024.10886414"},"language":"en","primary_location":{"id":"doi:10.1109/cdc56724.2024.10886414","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc56724.2024.10886414","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2024 IEEE 63rd 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/A5036653424","display_name":"Dieter Teichrib","orcid":"https://orcid.org/0000-0003-4325-5890"},"institutions":[{"id":"https://openalex.org/I200332995","display_name":"TU Dortmund University","ror":"https://ror.org/01k97gp34","country_code":"DE","type":"education","lineage":["https://openalex.org/I200332995"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Dieter Teichrib","raw_affiliation_strings":["TU Dortmund University,Control and Cyberphysical Systems Group,Department of Mechanical Engineering,Germany"],"affiliations":[{"raw_affiliation_string":"TU Dortmund University,Control and Cyberphysical Systems Group,Department of Mechanical Engineering,Germany","institution_ids":["https://openalex.org/I200332995"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5073429393","display_name":"Moritz Schulze Darup","orcid":"https://orcid.org/0000-0002-1868-4098"},"institutions":[{"id":"https://openalex.org/I200332995","display_name":"TU Dortmund University","ror":"https://ror.org/01k97gp34","country_code":"DE","type":"education","lineage":["https://openalex.org/I200332995"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Moritz Schulze Darup","raw_affiliation_strings":["TU Dortmund University,Control and Cyberphysical Systems Group,Department of Mechanical Engineering,Germany"],"affiliations":[{"raw_affiliation_string":"TU Dortmund University,Control and Cyberphysical Systems Group,Department of Mechanical Engineering,Germany","institution_ids":["https://openalex.org/I200332995"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5036653424"],"corresponding_institution_ids":["https://openalex.org/I200332995"],"apc_list":null,"apc_paid":null,"fwci":0.6989,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.73834768,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"894","last_page":"900"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.5929999947547913,"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":0.5929999947547913,"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/reachability","display_name":"Reachability","score":0.9355252981185913},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.5753167867660522},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5563313364982605},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.493028849363327},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.4768170714378357},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.35148847103118896},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3242872357368469},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2515087127685547},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.2417319416999817},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.20104774832725525},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.08634969592094421}],"concepts":[{"id":"https://openalex.org/C136643341","wikidata":"https://www.wikidata.org/wiki/Q1361526","display_name":"Reachability","level":2,"score":0.9355252981185913},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.5753167867660522},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5563313364982605},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.493028849363327},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.4768170714378357},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.35148847103118896},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3242872357368469},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2515087127685547},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.2417319416999817},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.20104774832725525},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.08634969592094421},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc56724.2024.10886414","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc56724.2024.10886414","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2024 IEEE 63rd Conference on Decision and Control (CDC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1603008429","https://openalex.org/W1932925324","https://openalex.org/W1977985274","https://openalex.org/W1991923258","https://openalex.org/W2001342468","https://openalex.org/W2039434969","https://openalex.org/W2101138302","https://openalex.org/W2127067432","https://openalex.org/W2128313110","https://openalex.org/W2147892900","https://openalex.org/W2156078565","https://openalex.org/W2171505650","https://openalex.org/W2543296129","https://openalex.org/W2562854303","https://openalex.org/W2887532679","https://openalex.org/W2963334980","https://openalex.org/W3117881175","https://openalex.org/W3120012985","https://openalex.org/W4285445922","https://openalex.org/W4379382608","https://openalex.org/W4388918112","https://openalex.org/W6696761078"],"related_works":["https://openalex.org/W2127267268","https://openalex.org/W2136512912","https://openalex.org/W2067910792","https://openalex.org/W2156446763","https://openalex.org/W2143461633","https://openalex.org/W2150194458","https://openalex.org/W4321471459","https://openalex.org/W2889071233","https://openalex.org/W2380814829","https://openalex.org/W2387511021"],"abstract_inverted_index":{"Neural":[0],"networks":[1],"(NN)":[2],"have":[3],"been":[4,48],"successfully":[5],"applied":[6],"to":[7,24,54,71,107,136,143,160,166],"approximate":[8],"various":[9],"types":[10],"of":[11,37,81,90,112,127],"complex":[12],"control":[13,29],"laws,":[14],"resulting":[15],"in":[16],"low-complexity":[17],"NN":[18],"-based":[19],"controllers":[20,63],"that":[21,50,101,138],"are":[22],"fast":[23],"evaluate.":[25],"However,":[26],"when":[27],"approximating":[28],"laws":[30],"using":[31,130],"NN,":[32],"performance":[33],"and":[34,153],"stability":[35,169],"guarantees":[36,57],"the":[38,66,82,88,109,139,148,171],"original":[39],"controller":[40,75,165],"may":[41],"not":[42,91],"be":[43,105],"preserved.":[44],"Recently,":[45],"it":[46,51],"has":[47,87],"shown":[49],"is":[52],"possible":[53],"provide":[55],"such":[56],"for":[58,170],"linear":[59,132],"systems":[60,116],"with":[61,69,117],"NNbased":[62,119],"by":[64,77],"analyzing":[65],"approximation":[67],"error":[68],"respect":[70],"a":[72,93,144,162],"stabilizing":[73],"base-line":[74,94],"or":[76],"computing":[78,125],"reachable":[79,128],"sets":[80,129],"closed-loop":[83,110,140],"system.":[84,174],"The":[85],"latter":[86],"advantage":[89],"requiring":[92],"controller.":[95,120],"In":[96],"this":[97],"paper,":[98],"we":[99],"show":[100,158],"similar":[102],"ideas":[103],"can":[104],"used":[106],"analyze":[108],"behavior":[111],"piecewise":[113],"affine":[114],"(PWA)":[115],"an":[118],"Our":[121],"approach":[122],"builds":[123],"on":[124],"overapproximations":[126],"mixed-integer":[131],"programming,":[133],"which":[134],"allows":[135],"certify":[137],"system":[141],"converges":[142],"small":[145],"set":[146],"containing":[147],"origin":[149],"while":[150],"satisfying":[151],"input":[152],"state":[154],"constraints.":[155],"We":[156],"also":[157],"how":[159],"modify":[161],"given":[163],"NN-based":[164],"ensure":[167],"asymptotic":[168],"controlled":[172],"PWA":[173]},"counts_by_year":[{"year":2025,"cited_by_count":2}],"updated_date":"2025-12-28T23:10:05.387466","created_date":"2025-10-10T00:00:00"}