{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,1]],"date-time":"2025-10-01T15:17:32Z","timestamp":1759331852426,"version":"3.40.3"},"reference-count":43,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"4","license":[{"start":{"date-parts":[[2025,4,1]],"date-time":"2025-04-01T00:00:00Z","timestamp":1743465600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"},{"start":{"date-parts":[[2025,4,1]],"date-time":"2025-04-01T00:00:00Z","timestamp":1743465600000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2025,4,1]],"date-time":"2025-04-01T00:00:00Z","timestamp":1743465600000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Automat. Contr."],"published-print":{"date-parts":[[2025,4]]},"DOI":"10.1109\/tac.2024.3484308","type":"journal-article","created":{"date-parts":[[2024,10,21]],"date-time":"2024-10-21T17:27:25Z","timestamp":1729531645000},"page":"2495-2506","source":"Crossref","is-referenced-by-count":1,"title":["A Variational Approach to the Design of Multivariable Discrete-Time Supertwisting-Like Algorithms"],"prefix":"10.1109","volume":"70","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-2582-9857","authenticated-orcid":false,"given":"F\u00e9lix A.","family":"Miranda-Villatoro","sequence":"first","affiliation":[{"name":"Grenoble INP, CNRS, Laboratoire Jean Kuntzmann, Centre Inria de l&#x0027;Universit&#x00E9; Grenoble Alpes, Grenoble, France"}]}],"member":"263","reference":[{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2011.2174676"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1109\/tac.2024.3370494"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1109\/LCSYS.2022.3186230"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1049\/iet-cta.2016.0572"},{"volume-title":"Convex Analysis and Monotone Operator Theory in Hilbert Spaces. CMS Books in Mathematics","year":"2011","author":"Bauschke","key":"ref6"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2019.2953091"},{"volume-title":"Set-Valued Mappings and Enlargements of Monotone Operators","year":"2008","author":"Burachik","key":"ref8"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1109\/mcs.2011.940459"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1137\/20M1379344"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2005.858636"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1016\/j.jfranklin.2011.10.011"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1007\/bf01581204"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1109\/TIE.2012.2188256"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1080\/00207720701409330"},{"volume-title":"Digital Control of Dynamical Systems","year":"2006","author":"Franklin","key":"ref16"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.23943\/princeton\/9780691153896.001.0001"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1109\/CDC40024.2019.9028911"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-031-37089-2_10"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2015.2506991"},{"key":"ref21","first-page":"207","article-title":"Experimental results on implicit and explicit timediscretization of equivalent-control-based sliding mode control","volume-title":"Recent Trends in Sliding Mode Control","author":"Huber","year":"2016"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1002\/rnc.1223"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2019.05.040"},{"volume-title":"Theory of Difference Equations: Numerical Methods and Applications","year":"1988","author":"Lakshmikantham","key":"ref24"},{"issue":"2","key":"ref25","first-page":"733","article-title":"$\\theta$-monotone operators and $\\theta$-convex functions","volume":"16","author":"Lszl","year":"2012","journal-title":"Taiwanese J. Math."},{"issue":"6","key":"ref26","doi-asserted-by":"crossref","first-page":"1247","DOI":"10.1080\/00207179308923053","article-title":"Sliding order and sliding accuracy in sliding mode control","volume":"58","author":"Levant","year":"1993","journal-title":"Int. J. Control"},{"issue":"3","key":"ref27","doi-asserted-by":"crossref","first-page":"379","DOI":"10.1016\/S0005-1098(97)00209-4","article-title":"Robust exact differentiation via sliding mode technique","volume":"34","author":"Levant","year":"1998","journal-title":"Automatica"},{"key":"ref28","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4612-0017-8","volume-title":"Switching in Systems and Control","author":"Liberzon","year":"2003"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1137\/0716071"},{"key":"ref30","doi-asserted-by":"crossref","first-page":"634","DOI":"10.1002\/rnc.4311","article-title":"Generalised mutivariable supertwisting algorithm","volume":"29","author":"Lpez-Caamal","year":"2019","journal-title":"Int. J. Robust Nonlinear Control"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1137\/16M1077362"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1016\/j.conengprac.2023.105546"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2012.2186179"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2021.3130880"},{"issue":"3","key":"ref35","doi-asserted-by":"crossref","first-page":"984","DOI":"10.1016\/j.automatica.2013.12.032","article-title":"A. multivariable super-twisting sliding mode approach","volume":"50","author":"Nagesh","year":"2014","journal-title":"Automatica"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2009.2023781"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2017.2755594"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1109\/TCSII.2023.3298834"},{"volume-title":"Large-Scale Convex Optimization via Monotone Operators","year":"2023","author":"Ryu","key":"ref39"},{"key":"ref40","doi-asserted-by":"crossref","DOI":"10.1007\/978-0-8176-4893-0","volume-title":"Sliding Mode Control and Observation","author":"Shtessel","year":"2014"},{"volume-title":"Sliding Modes in Control and Optimization. Communications and Control Engineering","year":"1992","author":"Utkin","key":"ref41"},{"key":"ref42","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2016.2609602"},{"key":"ref43","doi-asserted-by":"publisher","DOI":"10.1109\/TCSII.2021.3078526"},{"key":"ref44","doi-asserted-by":"publisher","DOI":"10.1016\/j.conengprac.2019.104191"}],"container-title":["IEEE Transactions on Automatic Control"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx8\/9\/10945509\/10726604.pdf?arnumber=10726604","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,3,29]],"date-time":"2025-03-29T05:41:03Z","timestamp":1743226863000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/10726604\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,4]]},"references-count":43,"journal-issue":{"issue":"4"},"URL":"https:\/\/doi.org\/10.1109\/tac.2024.3484308","relation":{},"ISSN":["0018-9286","1558-2523","2334-3303"],"issn-type":[{"type":"print","value":"0018-9286"},{"type":"electronic","value":"1558-2523"},{"type":"electronic","value":"2334-3303"}],"subject":[],"published":{"date-parts":[[2025,4]]}}}