{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,13]],"date-time":"2026-01-13T16:27:59Z","timestamp":1768321679976,"version":"3.49.0"},"reference-count":39,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","license":[{"start":{"date-parts":[[2024,1,1]],"date-time":"2024-01-01T00:00:00Z","timestamp":1704067200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by-nc-nd\/4.0\/"}],"funder":[{"name":"Fondi PNRR - Bando PE - Progetto PE11 - 3A-ITALY, \u201cMade in Italy Circolare e Sostenibile\u201d","award":["Codice PE0000004"],"award-info":[{"award-number":["Codice PE0000004"]}]},{"name":"Fondi PNRR - Bando PE - Progetto PE11 - 3A-ITALY, \u201cMade in Italy Circolare e Sostenibile\u201d","award":["CUP: J33C22002950001"],"award-info":[{"award-number":["CUP: J33C22002950001"]}]},{"DOI":"10.13039\/501100003556","name":"Italian Ministry of Foreign Affairs and International Cooperation","doi-asserted-by":"publisher","award":["BR22GR01"],"award-info":[{"award-number":["BR22GR01"]}],"id":[{"id":"10.13039\/501100003556","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Control Syst. Lett."],"published-print":{"date-parts":[[2024]]},"DOI":"10.1109\/lcsys.2024.3451792","type":"journal-article","created":{"date-parts":[[2024,8,29]],"date-time":"2024-08-29T18:11:25Z","timestamp":1724955085000},"page":"2133-2138","source":"Crossref","is-referenced-by-count":3,"title":["Timescale Separation for Discrete-Time Nonlinear Stochastic Systems"],"prefix":"10.1109","volume":"8","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-1190-4174","authenticated-orcid":false,"given":"Guido","family":"Carnevale","sequence":"first","affiliation":[{"name":"Department of Electrical, Electronic and Information Engineering, Alma Mater Studiorum - Universit&#x00E0; di Bologna, Bologna, Italy"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0906-7848","authenticated-orcid":false,"given":"Giuseppe","family":"Notarstefano","sequence":"additional","affiliation":[{"name":"Department of Electrical, Electronic and Information Engineering, Alma Mater Studiorum - Universit&#x00E0; di Bologna, Bologna, Italy"}]}],"member":"263","reference":[{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1016\/j.arcontrol.2023.100926"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.1968.1098927"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1109\/MCS.2017.2674438"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1109\/TNSE.2023.3271109"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1098\/rsif.2016.0380"},{"key":"ref6","article-title":"A unifying system theory framework for distributed optimization and games","author":"Carnevale","year":"2024","journal-title":"arXiv:2401.12623"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2015.2449811"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2018.2874748"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1109\/LCSYS.2022.3187918"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1109\/CDC49753.2023.10383363"},{"key":"ref11","article-title":"ADMM-tracking gradient for distributed optimization over asynchronous and unreliable networks","author":"Carnevale","year":"2023","journal-title":"arXiv:2309.14142"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1109\/LCSYS.2023.3281745"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1109\/LCSYS.2024.3400699"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2018.2833140"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2023.3321901"},{"key":"ref16","article-title":"Stability of singularly perturbed hybrid systems with restricted systems evolving on boundary layer manifolds","author":"Krila\u0161evi\u0107","year":"2023","journal-title":"arXiv:2303.18238"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2024.3368967"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2023.3341752"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1109\/LCSYS.2020.3002152"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2020.2989274"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2024.111767"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1016\/j.ifacol.2022.07.227"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1109\/TII.2019.2912018"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1109\/CDC49753.2023.10383604"},{"key":"ref25","article-title":"Stability-certified on-policy data-driven LQR via recursive learning and policy gradient","author":"Sforni","year":"2024","journal-title":"arXiv:2403.05367"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1006\/jdeq.1998.3552"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-23280-0"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2014.08.006"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2016.2558044"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2022.110393"},{"key":"ref31","first-page":"1","article-title":"A stochastic gradient method with an exponential convergence rate for finite training sets","volume-title":"Proc. Adv. Neural Inf. Process. Syst.","author":"Roux"},{"key":"ref32","first-page":"1","article-title":"SAGA: A fast incremental gradient method with support for non-strongly convex composite objectives","volume-title":"Proc. Adv. Neural Inf. Process. Syst.","author":"Defazio"},{"key":"ref33","first-page":"1","article-title":"Proximal stochastic methods for nonsmooth nonconvex finite-sum optimization","volume-title":"Proc. Adv. Neural Inf. Process. Syst.","author":"Reddi"},{"key":"ref34","first-page":"4124","article-title":"Local convergence properties of SAGA\/prox-SVRG and acceleration","volume-title":"Proc. Int. Conf. Mach. Learn.","author":"Poon"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1214\/105051604000000116"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1214\/105051606000000448"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2022.3210147"},{"key":"ref38","volume-title":"Nonlinear Systems","author":"Khalil","year":"2002"},{"key":"ref39","volume-title":"Convex Optimization Algorithms","author":"Bertsekas","year":"2015"}],"container-title":["IEEE Control Systems Letters"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx8\/7782633\/10411713\/10659105.pdf?arnumber=10659105","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,9,11]],"date-time":"2024-09-11T18:52:08Z","timestamp":1726080728000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/10659105\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024]]},"references-count":39,"URL":"https:\/\/doi.org\/10.1109\/lcsys.2024.3451792","relation":{},"ISSN":["2475-1456"],"issn-type":[{"value":"2475-1456","type":"electronic"}],"subject":[],"published":{"date-parts":[[2024]]}}}