{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,24]],"date-time":"2026-07-24T04:31:28Z","timestamp":1784867488887,"version":"3.55.0"},"reference-count":42,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"8","license":[{"start":{"date-parts":[[2022,8,1]],"date-time":"2022-08-01T00:00:00Z","timestamp":1659312000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"},{"start":{"date-parts":[[2022,8,1]],"date-time":"2022-08-01T00:00:00Z","timestamp":1659312000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2022,8,1]],"date-time":"2022-08-01T00:00:00Z","timestamp":1659312000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11471230"],"award-info":[{"award-number":["11471230"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Automat. Contr."],"published-print":{"date-parts":[[2022,8]]},"DOI":"10.1109\/tac.2022.3176527","type":"journal-article","created":{"date-parts":[[2022,5,20]],"date-time":"2022-05-20T19:31:19Z","timestamp":1653075079000},"page":"4377-4383","source":"Crossref","is-referenced-by-count":31,"title":["\u201cSecond-Order Primal\u201d + \u201cFirst-Order Dual\u201d Dynamical Systems With Time Scaling for Linear Equality Constrained Convex Optimization Problems"],"prefix":"10.1109","volume":"67","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-4896-2482","authenticated-orcid":false,"given":"Xin","family":"He","sequence":"first","affiliation":[{"name":"Department of Mathematics, Sichuan University, Chengdu, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1195-5841","authenticated-orcid":false,"given":"Rong","family":"Hu","sequence":"additional","affiliation":[{"name":"Department of Applied Mathematics, Chengdu University of Information Technology, Chengdu, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1831-8039","authenticated-orcid":false,"given":"Ya-Ping","family":"Fang","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Sichuan University, Chengdu, China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"263","reference":[{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1561\/9781601984616"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1137\/1.9781611974997"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1007\/978-981-15-2910-8"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1017\/S096249291600009X"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1109\/MSP.2007.914731"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1109\/TII.2012.2219061"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2013.2293221"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2017.2681200"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1137\/S0363012998335802"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1016\/0041-5553(64)90137-5"},{"issue":"1","key":"ref11","first-page":"5312","article-title":"A differential equation for modeling Nesterovs accelerated gradient method: Theory and insights","volume":"17","author":"Su","year":"2016","journal-title":"J. Mach. Learn. Res."},{"issue":"2","key":"ref12","first-page":"372","article-title":"A method of solving a convex programming problem with convergence rate $ o (1\/k^{2})$","volume":"27","author":"Nesterov","year":"1983","journal-title":"InSov. Math. Dokl."},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1137\/080716542"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1007\/s10107-016-0992-8"},{"key":"ref15","article-title":"Linear convergence of inertial gradient dynamics with constant viscous damping coefficient and time-dependent rescaling parameter","author":"Balhag","year":"2020"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1137\/18M1230207"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.1614734113"},{"issue":"113","key":"ref18","first-page":"1","article-title":"A Lyapunov analysis of accelerated methods in optimization","volume":"22","author":"Wilson","year":"2021","journal-title":"J. Mach. Learn. Res."},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1007\/s10107-021-01681-8"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1609\/aaai.v33i01.33015033"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1023\/B:JOTA.0000005445.21095.02"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1137\/15m1012657"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1007\/s10107-021-01713-3"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1016\/j.sysconle.2015.10.006"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2010.08.011"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2016.2628807"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2020.3001436"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1137\/15M1026924"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1109\/LCSYS.2018.2851375"},{"key":"ref30","article-title":"A primal-dual flow for affine constrained convex optimization","author":"Luo","year":"2021"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.23919\/ACC.2019.8815153"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1016\/j.sysconle.2020.104754"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2021.109585"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2019.04.004"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2020.109311"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2022.3152720"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1137\/20M1355379"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1007\/s10957-021-01859-2"},{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.23919\/ACC.2017.7963773"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1090\/gsm\/140"},{"key":"ref41","doi-asserted-by":"publisher","DOI":"10.1109\/ECC.2015.7330562"},{"key":"ref42","volume-title":"Operateurs Maximaux Monotones Et Semi-Groupes De Contractions Dans Les Espaces De Hilbert","author":"Brezis","year":"1973"}],"container-title":["IEEE Transactions on Automatic Control"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/9\/9842389\/09779446.pdf?arnumber=9779446","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,1,22]],"date-time":"2024-01-22T22:21:16Z","timestamp":1705962076000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/9779446\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,8]]},"references-count":42,"journal-issue":{"issue":"8"},"URL":"https:\/\/doi.org\/10.1109\/tac.2022.3176527","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":[[2022,8]]}}}