{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,1]],"date-time":"2026-04-01T03:28:38Z","timestamp":1775014118009,"version":"3.50.1"},"reference-count":63,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"9","license":[{"start":{"date-parts":[[2023,9,1]],"date-time":"2023-09-01T00:00:00Z","timestamp":1693526400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"},{"start":{"date-parts":[[2023,9,1]],"date-time":"2023-09-01T00:00:00Z","timestamp":1693526400000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2023,9,1]],"date-time":"2023-09-01T00:00:00Z","timestamp":1693526400000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"}],"funder":[{"name":"Government's modern industrial strategy by Innovate U.K."},{"DOI":"10.13039\/100014013","name":"UK Research and Innovation","doi-asserted-by":"publisher","award":["104781"],"award-info":[{"award-number":["104781"]}],"id":[{"id":"10.13039\/100014013","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Automat. Contr."],"published-print":{"date-parts":[[2023,9]]},"DOI":"10.1109\/tac.2022.3216978","type":"journal-article","created":{"date-parts":[[2022,10,27]],"date-time":"2022-10-27T17:31:44Z","timestamp":1666891904000},"page":"5201-5215","source":"Crossref","is-referenced-by-count":30,"title":["Reliably-Stabilizing Piecewise-Affine Neural Network Controllers"],"prefix":"10.1109","volume":"68","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-9911-4758","authenticated-orcid":false,"given":"Filippo","family":"Fabiani","sequence":"first","affiliation":[{"name":"Department of Engineering Science, University of Oxford, Oxford, U.K."}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0456-4124","authenticated-orcid":false,"given":"Paul J.","family":"Goulart","sequence":"additional","affiliation":[{"name":"Department of Engineering Science, University of Oxford, Oxford, U.K."}]}],"member":"263","reference":[{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1109\/JSYST.2014.2368129"},{"key":"ref57","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9781139020411"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1109\/OJIES.2021.3058411"},{"key":"ref56","doi-asserted-by":"publisher","DOI":"10.1016\/S0005-1098(96)00213-0"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2011.2179428"},{"key":"ref59","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-17933-9"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-01094-1_29"},{"key":"ref58","doi-asserted-by":"publisher","DOI":"10.1016\/S0005-1098(99)00214-9"},{"key":"ref53","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2020.3046193"},{"key":"ref52","first-page":"4795","article-title":"A unified view of piecewise linear neural network verification","volume":"31","author":"bunel","year":"0","journal-title":"Proc Adv Neural Inf Process Syst"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-60916-4_19"},{"key":"ref55","article-title":"Gurobi optimizer reference manual","year":"2022"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1016\/j.trc.2020.102662"},{"key":"ref54","doi-asserted-by":"publisher","DOI":"10.1109\/TCST.2009.2017934"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1023\/A:1023696221899"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1016\/0005-1098(95)00044-W"},{"key":"ref19","author":"hagan","year":"1997","journal-title":"Neural Network Design"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.23919\/ECC.2009.7074764"},{"key":"ref51","article-title":"Deep reinforcement learning in parameterized action space","author":"hausknecht","year":"0","journal-title":"Proc Int Conf Learn Representations"},{"key":"ref50","doi-asserted-by":"publisher","DOI":"10.23919\/ECC54610.2021.9654977"},{"key":"ref46","doi-asserted-by":"publisher","DOI":"10.1016\/j.ifacol.2017.08.1279"},{"key":"ref45","first-page":"361","article-title":"Deep ReLU networks have surprisingly few activation patterns","volume":"32","author":"hanin","year":"2019","journal-title":"Adv Neural Inf Process Syst"},{"key":"ref48","doi-asserted-by":"publisher","DOI":"10.1007\/s10601-018-9285-6"},{"key":"ref47","doi-asserted-by":"publisher","DOI":"10.1016\/S0005-1098(98)00178-2"},{"key":"ref42","volume":"317","author":"rockafellar","year":"2009","journal-title":"Variational Analysis"},{"key":"ref41","doi-asserted-by":"publisher","DOI":"10.1109\/9.83532"},{"key":"ref44","first-page":"7344","article-title":"Exactly computing the local Lipschitz constant of ReLU networks","volume":"33","author":"jordan","year":"0","journal-title":"Proc Adv Neural Inf Process Syst"},{"key":"ref43","doi-asserted-by":"publisher","DOI":"10.1080\/02331939408844018"},{"key":"ref49","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-35289-8_26"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1109\/ICRA.2016.7487175"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1109\/LRA.2020.2975727"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1109\/IROS40897.2019.8968236"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1016\/S0005-1098(01)00174-1"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1109\/CDC.2000.912842"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1109\/HUMANOIDS.2013.7029990"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1016\/S0967-0661(02)00186-7"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1016\/S0005-1098(01)00028-0"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2013.2293451"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2013.2285779"},{"key":"ref37","article-title":"Model predictive control toolbox","volume":"2","author":"bemporad","year":"2021","journal-title":"User s Guide Version 4"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511804441"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1109\/LCSYS.2020.2980479"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1016\/j.ifacol.2020.12.546"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1109\/CDC.2013.6761116"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2011.2108450"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1017\/9781139061759"},{"key":"ref1","author":"rawlings","year":"2017","journal-title":"Model Predictive Control Theory Computation and Design"},{"key":"ref39","first-page":"8895","article-title":"Piecewise linear regression via a difference of convex functions","author":"siahkamari","year":"0","journal-title":"Proc Int Conf Mach Learn"},{"key":"ref38","first-page":"2924","article-title":"On the number of linear regions of deep neural networks","volume":"27","author":"montufar","year":"2014","journal-title":"Adv Neural Inf Process Syst"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1109\/EDPC51184.2020.9388185"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2019.2926023"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1109\/LCSYS.2018.2843682"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.23919\/ACC.2018.8431275"},{"key":"ref20","author":"goodfellow","year":"2016","journal-title":"Deep Learning"},{"key":"ref63","doi-asserted-by":"publisher","DOI":"10.1109\/ECC.2016.7810382"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1088\/1748-0221\/13\/07\/P07027"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1016\/0893-6080(89)90020-8"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1109\/CDC42340.2020.9303895"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1109\/TCYB.2020.2999556"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1109\/TCST.2020.3024571"},{"key":"ref60","doi-asserted-by":"publisher","DOI":"10.1201\/9781420027020"},{"key":"ref62","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.1987.1104567"},{"key":"ref61","article-title":"Numerical methods for the investigation of stabilizability of constrained systems","author":"darup","year":"2014"}],"container-title":["IEEE Transactions on Automatic Control"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/9\/10233941\/09928332.pdf?arnumber=9928332","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,9,18]],"date-time":"2023-09-18T18:16:53Z","timestamp":1695061013000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/9928332\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,9]]},"references-count":63,"journal-issue":{"issue":"9"},"URL":"https:\/\/doi.org\/10.1109\/tac.2022.3216978","relation":{},"ISSN":["0018-9286","1558-2523","2334-3303"],"issn-type":[{"value":"0018-9286","type":"print"},{"value":"1558-2523","type":"electronic"},{"value":"2334-3303","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023,9]]}}}