{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,10,23]],"date-time":"2024-10-23T08:01:51Z","timestamp":1729670511573,"version":"3.28.0"},"reference-count":36,"publisher":"IEEE","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2009,12]]},"DOI":"10.1109\/cdc.2009.5400697","type":"proceedings-article","created":{"date-parts":[[2010,2,2]],"date-time":"2010-02-02T15:27:26Z","timestamp":1265124446000},"page":"223-228","source":"Crossref","is-referenced-by-count":2,"title":["A set-valued filter for discrete time polynomial systems using sum of squares programming"],"prefix":"10.1109","author":[{"given":"Christoph","family":"Maier","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Frank","family":"Allgower","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"263","reference":[{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1109\/9.580870"},{"journal-title":"Uncertain Dynamic Systems","year":"1973","author":"schweppe","key":"ref32"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1002\/rnc.856"},{"key":"ref30","article-title":"On-line nonlinear guaranteed estimation with application to a high performance aircraft","author":"scholte","year":"2002","journal-title":"Proceedings of the American Control Conference"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1137\/1038003"},{"key":"ref35","doi-asserted-by":"crossref","first-page":"189","DOI":"10.1007\/s10107-002-0347-5","article-title":"Solving semidefinite-quadratic-linear programs using SDPT3","volume":"95","author":"t\u00fct\u00fcnc\u00fc","year":"2003","journal-title":"Mathematical Programming"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1080\/10556789908805766"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2007.899083"},{"key":"ref11","first-page":"103","article-title":"Sums of squares of real polynomials","volume":"58","author":"choi","year":"1995","journal-title":"Proceedings of Symposia in Pure Mathematics"},{"key":"ref12","first-page":"43","article-title":"Trace versus determinant in ellipsoidal outer bounding with application to state estimation","author":"durieu","year":"1996","journal-title":"Proceedings of the 13th IFAC World Congress"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1109\/CDC.2008.4739433"},{"key":"ref14","doi-asserted-by":"crossref","first-page":"1084","DOI":"10.1109\/9.935060","article-title":"Robust filtering for discrete-time systems with bounded noise and parametric uncertainty","volume":"46","author":"el","year":"2001","journal-title":"IEEE Transactions on Automatic Control"},{"key":"ref15","first-page":"262","article-title":"Set-membership state estimation with optimal bounding ellipsoids","author":"gollamudi","year":"1996","journal-title":"Proc Intern Symp on Inf Theory and Its Application"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1007\/BF01443605"},{"journal-title":"Lyapunov based analysis and controller synthesis for polynomial systems using sum-of-squares optimization","year":"2003","author":"jarvis-wloszek","key":"ref17"},{"key":"ref18","first-page":"3966","article-title":"Guaranteed recursive nonlinear state estimation using interval analysis","volume":"4","author":"kieffer","year":"1998","journal-title":"Proceedings of the 37th IEEE Conference on Decision and Control"},{"key":"ref19","article-title":"Sums of squares relaxations of polynomial semidefinite programs","author":"kojima","year":"2003","journal-title":"Technical Report"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1109\/78.650275"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1109\/CDC.2006.377257"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1016\/j.conengprac.2005.03.016"},{"journal-title":"Robust fault detection and isolation of nonlinear systems with augmented state models","year":"2009","author":"a\u00dffalg","key":"ref3"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-03718-8"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1007\/s10107-005-0684-2"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.1971.1099674"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1109\/TSMCA.2005.843383"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1137\/1.9781611970777"},{"journal-title":"Optimal Filtering","year":"1979","author":"anderson","key":"ref2"},{"journal-title":"State Estimation for Dynamic Systems","year":"1994","author":"chernousko","key":"ref9"},{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1109\/CDC.2003.1271935"},{"key":"ref20","article-title":"Ellipsoidal Calculus for Estimation and Control","author":"kurzhanski","year":"1997","journal-title":"SCFA"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1137\/1.9781611970791"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1109\/CACSD.2004.1393890"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-1594-3"},{"journal-title":"Structured Semidefinite Programs and Semialgebraic Geometry Methods in Robustness and Optimization","year":"2000","author":"parrilo","key":"ref23"},{"key":"ref26","article-title":"Nonlinear control synthesis by sum of squares optimization: A Lyapunov-based approach","volume":"1","author":"prajna","year":"2004","journal-title":"Proceedings of the 5th Asian Control Conference"},{"key":"ref25","first-page":"741","article-title":"Introducing SOSTOOLS: A general purpose sum of squares programming solver","author":"prajna","year":"2001","journal-title":"Proceedings of the 40th IEEE Conference on Decision and Control"}],"event":{"name":"2009 Joint 48th IEEE Conference on Decision and Control (CDC) and 28th Chinese Control Conference (CCC 2009)","start":{"date-parts":[[2009,12,15]]},"location":"Shanghai","end":{"date-parts":[[2009,12,18]]}},"container-title":["Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx5\/5379695\/5399469\/05400697.pdf?arnumber=5400697","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,6,19]],"date-time":"2017-06-19T04:19:52Z","timestamp":1497845992000},"score":1,"resource":{"primary":{"URL":"http:\/\/ieeexplore.ieee.org\/document\/5400697\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2009,12]]},"references-count":36,"URL":"https:\/\/doi.org\/10.1109\/cdc.2009.5400697","relation":{},"subject":[],"published":{"date-parts":[[2009,12]]}}}