{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,16]],"date-time":"2026-03-16T10:20:43Z","timestamp":1773656443798,"version":"3.50.1"},"reference-count":47,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"2","license":[{"start":{"date-parts":[[2020,2,1]],"date-time":"2020-02-01T00:00:00Z","timestamp":1580515200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"},{"start":{"date-parts":[[2020,2,1]],"date-time":"2020-02-01T00:00:00Z","timestamp":1580515200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2020,2,1]],"date-time":"2020-02-01T00:00:00Z","timestamp":1580515200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"}],"funder":[{"DOI":"10.13039\/501100000781","name":"European Research Council","doi-asserted-by":"publisher","award":["ERC-CoG-771687"],"award-info":[{"award-number":["ERC-CoG-771687"]}],"id":[{"id":"10.13039\/501100000781","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Netherlands Organization for Scientific Research","award":["NWO-vidi-14134"],"award-info":[{"award-number":["NWO-vidi-14134"]}]},{"DOI":"10.13039\/501100000923","name":"Australian Research Council","doi-asserted-by":"publisher","award":["DP-130103610"],"award-info":[{"award-number":["DP-130103610"]}],"id":[{"id":"10.13039\/501100000923","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100000923","name":"Australian Research Council","doi-asserted-by":"publisher","award":["DP-160104500"],"award-info":[{"award-number":["DP-160104500"]}],"id":[{"id":"10.13039\/501100000923","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Automat. Contr."],"published-print":{"date-parts":[[2020,2]]},"DOI":"10.1109\/tac.2019.2910948","type":"journal-article","created":{"date-parts":[[2019,5,21]],"date-time":"2019-05-21T22:32:56Z","timestamp":1558477976000},"page":"546-560","source":"Crossref","is-referenced-by-count":22,"title":["Lyapunov Criterion for Stochastic Systems and Its Applications in Distributed Computation"],"prefix":"10.1109","volume":"65","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-1851-1370","authenticated-orcid":false,"given":"Yuzhen","family":"Qin","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5472-562X","authenticated-orcid":false,"given":"Ming","family":"Cao","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1493-4774","authenticated-orcid":false,"given":"Brian D. O.","family":"Anderson","sequence":"additional","affiliation":[]}],"member":"263","reference":[{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2018.2878476"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1137\/12086594X"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.1980.1102427"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4615-2329-1"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1109\/9.754809"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2015.2414771"},{"key":"ref37","author":"seneta","year":"2006","journal-title":"Non-Negative Matrices and Markov Chains"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511779398"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2013.10.013"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1016\/j.sysconle.2016.05.001"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1016\/S0005-1098(97)00170-2"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.2307\/2034984"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2011.2166729"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1016\/j.sysconle.2011.07.004"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.1986.1104412"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2015.2460051"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1109\/9.701102"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1016\/j.sysconle.2014.05.007"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2015.02.034"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2014.2364096"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2008.2009515"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2017.05.004"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1016\/0022-247X(73)90071-1"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2010.2091174"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.53.1.8"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2007.904603"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1016\/j.sysconle.2016.02.010"},{"key":"ref5","author":"khasminskii","year":"2011","journal-title":"Stochastic Stability of Differential Equations"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2017.2650563"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2009.2034054"},{"key":"ref2","author":"kushner","year":"1971","journal-title":"Introduction to Stochastic Control"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2016.2529285"},{"key":"ref1","author":"kushner","year":"1967","journal-title":"Stochastic Stability and Control"},{"key":"ref46","doi-asserted-by":"crossref","first-page":"252","DOI":"10.3182\/20090924-3-IT-4005.00043","article-title":"Distributed asynchronous algorithms for solving positive definite linear equations over networks-part I: Agent networks","volume":"42","author":"lu","year":"2009","journal-title":"IFAC Proc Vol"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1137\/060657005"},{"key":"ref45","author":"bertsekas","year":"1989","journal-title":"Parallel and Distributed Computation Numerical Methods"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2008.917743"},{"key":"ref47","doi-asserted-by":"publisher","DOI":"10.3182\/20090924-3-IT-4005.00044"},{"key":"ref21","doi-asserted-by":"crossref","first-page":"1826","DOI":"10.1109\/TAC.2008.929387","article-title":"Agreeing asynchronously","volume":"53","author":"cao","year":"2008","journal-title":"IEEE Trans Autom Control"},{"key":"ref42","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2014.2301571"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2014.2352691"},{"key":"ref41","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2017.2756340"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2006.878783"},{"key":"ref44","author":"cassandras","year":"2009","journal-title":"Introduction to Discrete Event Systems"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2013.2283750"},{"key":"ref43","first-page":"1742","article-title":"Asynchronous agreement through distributed coordination algorithms associated with periodic matrices","volume":"50","author":"qin","year":"0","journal-title":"Proc 20th IFAC Congr"},{"key":"ref25","doi-asserted-by":"crossref","first-page":"766","DOI":"10.1109\/TAC.2016.2572004","article-title":"On convergence rate of weighted-averaging dynamics for consensus problems","volume":"62","author":"nedi?","year":"2017","journal-title":"IEEE Trans Autom Control"}],"container-title":["IEEE Transactions on Automatic Control"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/9\/8972645\/08691522.pdf?arnumber=8691522","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,4,27]],"date-time":"2022-04-27T16:31:52Z","timestamp":1651077112000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/8691522\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,2]]},"references-count":47,"journal-issue":{"issue":"2"},"URL":"https:\/\/doi.org\/10.1109\/tac.2019.2910948","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":[[2020,2]]}}}