{"id":"https://openalex.org/W4415180896","doi":"https://doi.org/10.23919/ecc65951.2025.11187202","title":"A mixed-integer framework for analyzing neural network-based controllers for piecewise affine systems with bounded disturbances","display_name":"A mixed-integer framework for analyzing neural network-based controllers for piecewise affine systems with bounded disturbances","publication_year":2025,"publication_date":"2025-06-24","ids":{"openalex":"https://openalex.org/W4415180896","doi":"https://doi.org/10.23919/ecc65951.2025.11187202"},"language":"en","primary_location":{"id":"doi:10.23919/ecc65951.2025.11187202","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc65951.2025.11187202","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2025 European Control Conference (ECC)","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 Cyber-Physical Systems Group,Department of Mechanical Engineering,Germany"],"affiliations":[{"raw_affiliation_string":"TU Dortmund University,Control and Cyber-Physical 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 Cyber-Physical Systems Group,Department of Mechanical Engineering,Germany"],"affiliations":[{"raw_affiliation_string":"TU Dortmund University,Control and Cyber-Physical 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":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.39313162,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"904","last_page":"910"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.965399980545044,"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":0.965399980545044,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9369000196456909,"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":0.9175000190734863,"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/bounded-function","display_name":"Bounded function","score":0.8341000080108643},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.5561000108718872},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.54339998960495},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5432999730110168},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.517300009727478},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.51419997215271},{"id":"https://openalex.org/keywords/piecewise-linear-function","display_name":"Piecewise linear function","score":0.4975999891757965},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.46880000829696655},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.4528999924659729}],"concepts":[{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.8341000080108643},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5946000218391418},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.5561000108718872},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.54339998960495},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5432999730110168},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.517300009727478},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.51419997215271},{"id":"https://openalex.org/C17095337","wikidata":"https://www.wikidata.org/wiki/Q2375229","display_name":"Piecewise linear function","level":2,"score":0.4975999891757965},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.46880000829696655},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.4528999924659729},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.40149998664855957},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.3813999891281128},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.34549999237060547},{"id":"https://openalex.org/C92928283","wikidata":"https://www.wikidata.org/wiki/Q4949981","display_name":"Bounded deformation","level":4,"score":0.3395000100135803},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.3361999988555908},{"id":"https://openalex.org/C87698059","wikidata":"https://www.wikidata.org/wiki/Q1808960","display_name":"LTI system theory","level":3,"score":0.32350000739097595},{"id":"https://openalex.org/C50897621","wikidata":"https://www.wikidata.org/wiki/Q2665508","display_name":"Hybrid system","level":2,"score":0.3082999885082245},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.2973000109195709},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.2953999936580658},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.29350000619888306},{"id":"https://openalex.org/C207221997","wikidata":"https://www.wikidata.org/wiki/Q938614","display_name":"Affine combination","level":3,"score":0.28279998898506165},{"id":"https://openalex.org/C31531917","wikidata":"https://www.wikidata.org/wiki/Q915157","display_name":"Robust control","level":3,"score":0.27399998903274536},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.26980000734329224},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2639000117778778},{"id":"https://openalex.org/C77405623","wikidata":"https://www.wikidata.org/wiki/Q598451","display_name":"System dynamics","level":2,"score":0.2563000023365021}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.23919/ecc65951.2025.11187202","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc65951.2025.11187202","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2025 European Control Conference (ECC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W1603008429","https://openalex.org/W1977985274","https://openalex.org/W1981723834","https://openalex.org/W1991923258","https://openalex.org/W2001342468","https://openalex.org/W2101138302","https://openalex.org/W2109873351","https://openalex.org/W2119974577","https://openalex.org/W2147892900","https://openalex.org/W2156078565","https://openalex.org/W2562854303","https://openalex.org/W2619113399","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/W4400934905","https://openalex.org/W4407951399"],"related_works":[],"abstract_inverted_index":{"We":[0,27],"present":[1],"a":[2],"method":[3],"for":[4,41],"representing":[5],"the":[6,33,42,65,86],"closed-loop":[7],"dynamics":[8],"of":[9,35],"piecewise":[10],"affine":[11],"(PWA)":[12],"systems":[13,71],"with":[14],"bounded":[15,87],"additive":[16],"disturbances":[17,88],"and":[18,61,77],"neural":[19],"network-based":[20],"controllers":[21],"as":[22,85],"mixed-integer":[23],"(MI)":[24],"linear":[25,49],"constraints.":[26],"show":[28],"that":[29],"such":[30],"representations":[31],"enable":[32],"computation":[34],"robustly":[36],"positively":[37],"invariant":[38],"(RPI)":[39],"sets":[40,53],"specified":[43],"system":[44],"class":[45],"by":[46],"solving":[47],"MI":[48],"programs.":[50],"These":[51],"RPI":[52],"can":[54,82],"subsequently":[55],"be":[56,83],"used":[57],"to":[58,68],"certify":[59],"stability":[60],"constraint":[62],"satisfaction.":[63],"Furthermore,":[64],"approach":[66],"allows":[67],"handle":[69],"nonlinear":[70],"based":[72],"on":[73],"suitable":[74],"PWA":[75],"approximations":[76],"corresponding":[78],"error":[79],"bounds,":[80],"which":[81],"interpreted":[84],"from":[89],"above.":[90]},"counts_by_year":[],"updated_date":"2026-03-07T16:01:11.037858","created_date":"2025-10-15T00:00:00"}