{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,31]],"date-time":"2026-03-31T13:38:49Z","timestamp":1774964329453,"version":"3.50.1"},"reference-count":69,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"8","license":[{"start":{"date-parts":[[2016,8,1]],"date-time":"2016-08-01T00:00:00Z","timestamp":1470009600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"}],"funder":[{"DOI":"10.13039\/501100002848","name":"CONICYT","doi-asserted-by":"publisher","award":["1120468"],"award-info":[{"award-number":["1120468"]}],"id":[{"id":"10.13039\/501100002848","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100002848","name":"CONICYT","doi-asserted-by":"publisher","award":["1130459"],"award-info":[{"award-number":["1130459"]}],"id":[{"id":"10.13039\/501100002848","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100002848","name":"CONICYT","doi-asserted-by":"publisher","award":["1140384"],"award-info":[{"award-number":["1140384"]}],"id":[{"id":"10.13039\/501100002848","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Anillo ACT-53"},{"name":"Basal","award":["FB0008"],"award-info":[{"award-number":["FB0008"]}]},{"name":"VILLUM FONDEN Young Investigator Programme","award":["10095"],"award-info":[{"award-number":["10095"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Automat. Contr."],"published-print":{"date-parts":[[2016,8]]},"DOI":"10.1109\/tac.2015.2500658","type":"journal-article","created":{"date-parts":[[2015,11,13]],"date-time":"2015-11-13T14:31:46Z","timestamp":1447425106000},"page":"2171-2186","source":"Crossref","is-referenced-by-count":44,"title":["A Characterization of the Minimal Average Data Rate That Guarantees a Given Closed-Loop Performance Level"],"prefix":"10.1109","volume":"61","author":[{"given":"Eduardo I.","family":"Silva","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7824-9354","authenticated-orcid":false,"given":"Milan S.","family":"Derpich","sequence":"additional","affiliation":[]},{"given":"Jan","family":"Ostergaard","sequence":"additional","affiliation":[]},{"given":"Marco A.","family":"Encina","sequence":"additional","affiliation":[]}],"member":"263","reference":[{"key":"ref39","article-title":"Finite horizon LQ optimal control and computation with data rate constraints","author":"huang","year":"0","journal-title":"Proc 44th IEEE European Control Conf Decision and Control (CDC-ECC'05)"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2006.886491"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.1982.1056552"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2010.2081730"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2006.871940"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2008.2010887"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1109\/CDC.2012.6425962"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1137\/S0363012999365261"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2012.2184669"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2005.862075"},{"key":"ref60","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2006.887898"},{"key":"ref62","doi-asserted-by":"publisher","DOI":"10.1007\/BFb0007371"},{"key":"ref61","article-title":"The entropy gain of linear time-invariant filters and some of its implications","author":"derpich","year":"2015","journal-title":"IEEE Trans Inform Theory"},{"key":"ref63","doi-asserted-by":"publisher","DOI":"10.1109\/18.119699"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2010.2068590"},{"key":"ref64","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2011.02.050"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2003.816982"},{"key":"ref65","doi-asserted-by":"publisher","DOI":"10.1109\/CDC.2007.4434535"},{"key":"ref66","author":"\u00e5str\u00f6m","year":"1970","journal-title":"Introduction to Stochastic Control Theory"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2012.2212616"},{"key":"ref67","first-page":"73","author":"derpich","year":"2008","journal-title":"The Quadratic Gaussian Rate-Distortion Function for Source Uncorrelated Distortions"},{"key":"ref68","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2009.2034816"},{"key":"ref69","article-title":"Fundamental inequalities and identities involving mutual and directed informations in closed-loop systems","author":"derpich","year":"2013","journal-title":"IEEE Trans Inform Theory"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1109\/JPROC.2006.887291"},{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1109\/JPROC.2006.887294"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2008.05.021"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2008.08.011"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2008.929361"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1007\/3-540-48022-6_3"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2012.02.040"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1016\/S0005-1098(02)00285-6"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2004.831102"},{"key":"ref50","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2009.12.001"},{"key":"ref51","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2010.2097831"},{"key":"ref59","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2004.834119"},{"key":"ref58","author":"porat","year":"1994","journal-title":"Digital Processing of Random Signals Theory and Methods"},{"key":"ref57","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511804441"},{"key":"ref56","doi-asserted-by":"crossref","DOI":"10.1007\/b138575","author":"costa","year":"2005","journal-title":"Discrete Time Markov Jump Linear Systems"},{"key":"ref55","article-title":"Causality, feedback and directed information","author":"massey","year":"0","journal-title":"Proc Int Symp Information Theory and Its Applications"},{"key":"ref54","author":"cover","year":"2006","journal-title":"Elements of Information Theory"},{"key":"ref53","doi-asserted-by":"crossref","first-page":"155","DOI":"10.1561\/0100000006","article-title":"Toeplitz and circulant matrices: A review","volume":"2","author":"gray","year":"2006","journal-title":"Found and Trends in Commun and Inform Theory"},{"key":"ref52","author":"doob","year":"1953","journal-title":"Stochastic Processes"},{"key":"ref10","author":"ishii","year":"2002","journal-title":"Limited Data Rate in Control Systems with Networks"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1109\/9.763226"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1109\/CDC.2006.377525"},{"key":"ref12","doi-asserted-by":"crossref","first-page":"732","DOI":"10.1109\/TAC.2009.2014930","article-title":"A unified framework for design and analysis of networked and quantized control systems","volume":"54","author":"ne\u0161i\u00e7","year":"2009","journal-title":"IEEE Trans Autom Control"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1109\/9.867021"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2006.878169"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1137\/S0363012902402116"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2004.831187"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2004.834430"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2005.08.021"},{"key":"ref19","author":"matveev","year":"2009","journal-title":"Estimation and Control Over Communication Networks"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1109\/CACSD.2010.5612686"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1109\/ICARCV.2012.6485439"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1109\/JPROC.2006.887290"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1109\/MIAS.2009.932593"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1109\/9.948466"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1109\/9.58500"},{"key":"ref49","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2007.902739"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2005.858689"},{"key":"ref46","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2011.2139430"},{"key":"ref45","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2010.2098070"},{"key":"ref48","author":"johannesson","year":"2011","journal-title":"Control and Communication with Signal-to-noise Ratio Constraints"},{"key":"ref47","doi-asserted-by":"publisher","DOI":"10.3182\/20100913-2-FR-4014.00061"},{"key":"ref42","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2010.2051833"},{"key":"ref41","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2012.2187010"},{"key":"ref44","doi-asserted-by":"publisher","DOI":"10.1109\/ACC.2005.1469912"},{"key":"ref43","doi-asserted-by":"publisher","DOI":"10.1137\/060678130"}],"container-title":["IEEE Transactions on Automatic Control"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/9\/7523352\/07328719.pdf?arnumber=7328719","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,1,12]],"date-time":"2022-01-12T11:45:59Z","timestamp":1641987959000},"score":1,"resource":{"primary":{"URL":"http:\/\/ieeexplore.ieee.org\/document\/7328719\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,8]]},"references-count":69,"journal-issue":{"issue":"8"},"URL":"https:\/\/doi.org\/10.1109\/tac.2015.2500658","relation":{},"ISSN":["0018-9286","1558-2523"],"issn-type":[{"value":"0018-9286","type":"print"},{"value":"1558-2523","type":"electronic"}],"subject":[],"published":{"date-parts":[[2016,8]]}}}