{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,27]],"date-time":"2026-06-27T19:13:27Z","timestamp":1782587607830,"version":"3.54.5"},"reference-count":23,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"7","license":[{"start":{"date-parts":[[2011,7,1]],"date-time":"2011-07-01T00:00:00Z","timestamp":1309478400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Automat. Contr."],"published-print":{"date-parts":[[2011,7]]},"DOI":"10.1109\/tac.2011.2121410","type":"journal-article","created":{"date-parts":[[2011,3,2]],"date-time":"2011-03-02T04:41:28Z","timestamp":1299040888000},"page":"1660-1665","source":"Crossref","is-referenced-by-count":210,"title":["Convergence and Equivalence Results for the Jensen's Inequality\u2014Application to Time-Delay and Sampled-Data Systems"],"prefix":"10.1109","volume":"56","author":[{"given":"Corentin","family":"Briat","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"263","reference":[{"key":"ref10","first-page":"12336","article-title":"On robustness of discrete-time LTI systems with varying time delays","author":"kao","year":"2008","journal-title":"Proc 17th IFAC World Congress"},{"key":"ref11","article-title":"Delay-dependent stability analysis of linear time delay systems","author":"gouaisbaut","year":"2006","journal-title":"Proc 6th IFAC Workshop Time Delay Syst"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2006.11.005"},{"key":"ref13","first-page":"2607","article-title":"A delay decomposition approach to stability of linear neutral systems","author":"han","year":"2008","journal-title":"Proc 17th IFAC World Congress"},{"key":"ref14","first-page":"215","article-title":"&#x00DC;ber das maximum des absoluten betrages von <formula formulatype=\"inline\"><tex Notation=\"TeX\">$1\/(b-a)\\int _{1}^{b}f(x)g(x)dx\\!-\\!1\/(b-a)^{2}\\!\\times \\!\\int _{a}^{b}f(x)dx\\int _{a}^{b}g(x)dx$<\/tex> <\/formula>","volume":"1","author":"grss","year":"1935","journal-title":"Mathematische Zeitschrift"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1006\/jmaa.1999.6452"},{"key":"ref16","first-page":"77","article-title":"A converse of the Jensen inequality for convex mappings of several variables and applications","volume":"29","author":"dragomir","year":"2004","journal-title":"Acta Mathematica Vietnamica"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2009.08.062"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1016\/j.sysconle.2007.10.009"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1109\/CDC.2009.5400681"},{"key":"ref4","author":"briat","year":"2008","journal-title":"Control and Observation of LPV Time-Delay Systems"},{"key":"ref3","article-title":"Delay dependent robust stability of time delay-systems","author":"gouaisbaut","year":"2006","journal-title":"Proc 5th IFAC Symp Robust Control Design"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2009.2026859"},{"key":"ref5","article-title":"Stability analysis of time-varying delay systems in quadratic separation framework","author":"ariba","year":"2008","journal-title":"Proc Int Conf Math Problems Eng Aerosp Sci (ICNPAA'08)"},{"key":"ref8","first-page":"4946","article-title":"Parameter dependent state-feedback control of LPV time delay systems with time varying delays using a projection approach","author":"briat","year":"2008","journal-title":"Proc 17th IFAC World Congress"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2005.08.005"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-0039-0"},{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1007\/BF02418571"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1109\/TCSII.2006.884116"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1080\/00207170110067116"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2008.2010889"},{"key":"ref21","doi-asserted-by":"crossref","first-page":"899","DOI":"10.1109\/TAC.2005.849256","article-title":"Ellipsoidal sets for resilient and robust static output feedback","volume":"50","author":"peaucelle","year":"2005","journal-title":"IEEE Trans Autom Control"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2007.04.024"}],"container-title":["IEEE Transactions on Automatic Control"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx5\/9\/5937467\/05721790.pdf?arnumber=5721790","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,10,10]],"date-time":"2021-10-10T23:53:01Z","timestamp":1633909981000},"score":1,"resource":{"primary":{"URL":"http:\/\/ieeexplore.ieee.org\/document\/5721790\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,7]]},"references-count":23,"journal-issue":{"issue":"7"},"URL":"https:\/\/doi.org\/10.1109\/tac.2011.2121410","relation":{},"ISSN":["0018-9286"],"issn-type":[{"value":"0018-9286","type":"print"}],"subject":[],"published":{"date-parts":[[2011,7]]}}}