{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,31]],"date-time":"2026-01-31T12:44:02Z","timestamp":1769863442702,"version":"3.49.0"},"reference-count":36,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"1","license":[{"start":{"date-parts":[[2025,1,1]],"date-time":"2025-01-01T00:00:00Z","timestamp":1735689600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"},{"start":{"date-parts":[[2025,1,1]],"date-time":"2025-01-01T00:00:00Z","timestamp":1735689600000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2025,1,1]],"date-time":"2025-01-01T00:00:00Z","timestamp":1735689600000},"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":[[2025,1]]},"DOI":"10.1109\/tac.2024.3438808","type":"journal-article","created":{"date-parts":[[2024,8,6]],"date-time":"2024-08-06T14:36:22Z","timestamp":1722954982000},"page":"587-594","source":"Crossref","is-referenced-by-count":5,"title":["Analysis of Gradient Descent With Varying Step Sizes Using Integral Quadratic Constraints"],"prefix":"10.1109","volume":"70","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-8368-0253","authenticated-orcid":false,"given":"Ram","family":"Padmanabhan","sequence":"first","affiliation":[{"name":"Department of Electrical and Computer Engineering and Coordinated Science Laboratory, University of Illinois Urbana-Champaign, Urbana, IL, USA"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3423-1109","authenticated-orcid":false,"given":"Peter","family":"Seiler","sequence":"additional","affiliation":[{"name":"Department of Electrical Engineering and Computer Science, University of Michigan, Ann Arbor, MI, USA"}]}],"member":"263","reference":[{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511804441"},{"key":"ref2","volume-title":"Numerical Optimization","author":"Nocedal","year":"2006"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1016\/0041-5553(64)90137-5"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4419-8853-9"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1137\/1.9781611974997"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1561\/9781601987174"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1016\/0167-6911(92)90034-P"},{"key":"ref8","first-page":"73","article-title":"S-procedure in nonlinear control theory","volume-title":"Vestnik Leningrad Univ.","volume":"4","author":"Yakubovich","year":"1971"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1109\/9.587335"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1016\/0167-6911(95)00063-1"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejcon.2016.04.004"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1109\/MCS.2022.3157117"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2014.2361004"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1002\/rnc.3646"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1109\/CDC.2015.7403406"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1137\/15M1009597"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1007\/s10107-013-0653-0"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1109\/CDC.2005.1582282"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.23919\/ACC.2019.8814459"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1007\/s10107-020-01486-1"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2022.3162154"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1137\/17M1136845"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1109\/LCSYS.2017.2722406"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.23919\/ACC.2018.8430824"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.23919\/ACC45564.2020.9147401"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1109\/MCS.2022.3157115"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.23919\/ACC.2019.8814680"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2020.3008297"},{"key":"ref29","article-title":"Tradeoffs between convergence rate and noise amplification for momentum-based accelerated optimization algorithms","author":"Mohammadi","year":"2022"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.2140\/pjm.1966.16.1"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1137\/1011036"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1002\/rnc.3240"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1002\/rnc.3521"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2016.01.053"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1002\/(SICI)1099-1239(199611)6:9\/10<983::AID-RNC263>3.0.CO;2-C"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1016\/0024-3795(93)90465-Z"}],"container-title":["IEEE Transactions on Automatic Control"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx8\/9\/10818614\/10623868.pdf?arnumber=10623868","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,1,30]],"date-time":"2026-01-30T21:06:45Z","timestamp":1769807205000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/10623868\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,1]]},"references-count":36,"journal-issue":{"issue":"1"},"URL":"https:\/\/doi.org\/10.1109\/tac.2024.3438808","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":[[2025,1]]}}}