{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,11]],"date-time":"2026-02-11T13:21:03Z","timestamp":1770816063226,"version":"3.50.1"},"reference-count":37,"publisher":"IEEE","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2021,5,25]]},"DOI":"10.23919\/acc50511.2021.9482637","type":"proceedings-article","created":{"date-parts":[[2021,7,28]],"date-time":"2021-07-28T20:29:16Z","timestamp":1627504156000},"page":"3564-3569","source":"Crossref","is-referenced-by-count":9,"title":["Stability Certificates for Neural Network Learning-based Controllers using Robust Control Theory"],"prefix":"10.23919","author":[{"given":"Hoang Hai","family":"Nguyen","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Tim","family":"Zieger","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Sandra C.","family":"Wells","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Anastasia","family":"Nikolakopoulou","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Richard D.","family":"Braatz","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Rolf","family":"Findeisen","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"263","reference":[{"key":"ref33","article-title":"ADADELTA: An adaptive learning rate method","volume":"abs 1212 5701","author":"zeiler","year":"2012","journal-title":"CoRR"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1088\/1755-1315\/188\/1\/012100"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1016\/j.ifacol.2020.12.088"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1137\/1.9781611970777"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1007\/s10107-004-0559-y"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1007\/s12532-018-0139-4"},{"key":"ref35","author":"cembrano","year":"2020","journal-title":"Joint Bachelor's Thesis"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1109\/CACSD.2004.1393890"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1109\/CDC.2016.7798979"},{"key":"ref11","first-page":"908","article-title":"Safe model-based reinforcement learning with stability guarantees","author":"berkenkamp","year":"2017","journal-title":"Adv in Neural Information Processing Systems"},{"key":"ref12","first-page":"545","article-title":"Stability of controllers for Gaussian process forward models","author":"vinogradska","year":"0","journal-title":"Int Conf Machine Learning"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2013.02.003"},{"key":"ref14","doi-asserted-by":"crossref","first-page":"7769","DOI":"10.1016\/j.ifacol.2017.08.1050","article-title":"Learning-based nonlinear model predictive control","volume":"50","author":"limon","year":"2017","journal-title":"IFAC-PapersOnLine"},{"key":"ref15","first-page":"517","article-title":"Multi-mode learning supported model predictive control with guarantees","author":"bethge","year":"0","journal-title":"Nonlinear Model Predictive Control Conference"},{"key":"ref16","article-title":"Learning-based robust control: Guaranteeing stability while improving performance","author":"berkenkamp","year":"0","journal-title":"Proc IEEE\/RSJ Int Conf Intel Robots Syst"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1016\/j.ifacol.2018.11.047"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1080\/00207179508921536"},{"key":"ref19","author":"jin","year":"2018","journal-title":"Stability-certified reinforcement learning A control-theoretic perspective"},{"key":"ref28","author":"khalil","year":"2015","journal-title":"Nonlinear Control"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1109\/5326.827451"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1016\/j.neunet.2017.11.014"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.23919\/ACC.2018.8431275"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.15607\/RSS.2015.XI.012"},{"key":"ref29","first-page":"246","article-title":"On the theory of stability of control systems","volume":"8","author":"lur'e","year":"1944","journal-title":"Prikl Mat Mekh"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.12720\/joace.3.6.452-456"},{"key":"ref8","author":"amodei","year":"2016","journal-title":"Concrete problems in ai safety"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1109\/ICRA.2016.7487175"},{"key":"ref2","doi-asserted-by":"crossref","first-page":"8","DOI":"10.1016\/j.arcontrol.2018.09.005","article-title":"Reinforcement learning for control: Performance, stability, and deep approximators","volume":"46","author":"bu?oniu","year":"2018","journal-title":"Annual Reviews in Control"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.23919\/ECC51009.2020.9143600"},{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jprocont.2006.06.001"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1016\/j.compchemeng.2004.09.023"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.23919\/ECC.2018.8550234"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1109\/LCSYS.2018.2843682"},{"key":"ref24","author":"wang","year":"2019","journal-title":"Verification of neural network control policy under persistent adversarial perturbation"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.23919\/ACC45564.2020.9147564"},{"key":"ref26","doi-asserted-by":"crossref","DOI":"10.1016\/j.ifacol.2020.12.1201","article-title":"Towards safe neural network supported model predictive control","author":"zieger","year":"2020","journal-title":"IFAC-PapersOnLine"},{"key":"ref25","author":"ivanov","year":"2018","journal-title":"Verisig verifying safety properties of hybrid systems with neural network controllers"}],"event":{"name":"2021 American Control Conference (ACC)","location":"New Orleans, LA, USA","start":{"date-parts":[[2021,5,25]]},"end":{"date-parts":[[2021,5,28]]}},"container-title":["2021 American Control Conference (ACC)"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/9482409\/9482614\/09482637.pdf?arnumber=9482637","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,10,6]],"date-time":"2021-10-06T10:50:46Z","timestamp":1633517446000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/9482637\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,5,25]]},"references-count":37,"URL":"https:\/\/doi.org\/10.23919\/acc50511.2021.9482637","relation":{},"subject":[],"published":{"date-parts":[[2021,5,25]]}}}