{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,5]],"date-time":"2025-10-05T12:36:25Z","timestamp":1759667785147,"version":"3.37.3"},"reference-count":48,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"4","license":[{"start":{"date-parts":[[2015,4,1]],"date-time":"2015-04-01T00:00:00Z","timestamp":1427846400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"}],"funder":[{"DOI":"10.13039\/501100002261","name":"Russian Foundation for Basic Research (RFBR)","doi-asserted-by":"crossref","award":["11-08-00004a"],"award-info":[{"award-number":["11-08-00004a"]}],"id":[{"id":"10.13039\/501100002261","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Automat. Contr."],"published-print":{"date-parts":[[2015,4]]},"DOI":"10.1109\/tac.2014.2365687","type":"journal-article","created":{"date-parts":[[2014,10,29]],"date-time":"2014-10-29T19:10:36Z","timestamp":1414609836000},"page":"1050-1063","source":"Crossref","is-referenced-by-count":3,"title":["Weight and Time Recursions in Dynamic State Estimation Problem With Mixed-Norm Cost Function"],"prefix":"10.1109","volume":"60","author":[{"given":"Pavel","family":"Akimov","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Alexander","family":"Matasov","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"263","reference":[{"journal-title":"Probability Random Process and Statistical Analysis","year":"2012","author":"kobayashi","key":"ref39"},{"key":"ref38","first-page":"6451","article-title":"Dynamic filtering of sparse signals using reweighted $l_{1}$","author":"charles","year":"0","journal-title":"Proc Int Conf Acoust Speech Signal Processing"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1109\/ALLERTON.2010.5707125"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2010.2048105"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1109\/MSP.2010.936020"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2009.2038959"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1002\/mrm.24524"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2012.2203813"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1109\/CISS.2011.5766179"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1109\/JSTSP.2011.2159773"},{"journal-title":"Exact solutions to total variation regularization problems","year":"1996","author":"strong","key":"ref10"},{"journal-title":"Uncertain Dynamic Systems","year":"1973","author":"schweppe","key":"ref40"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1088\/0266-5611\/19\/6\/059"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1137\/040604297"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1214\/aos\/1176342503"},{"key":"ref14","doi-asserted-by":"crossref","first-page":"267","DOI":"10.1111\/j.2517-6161.1996.tb02080.x","article-title":"Regression shrinkage and selection via the lasso","volume":"58","author":"tabshirani","year":"1996","journal-title":"J Royal Stat Soc"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1137\/070690274"},{"key":"ref16","article-title":"Methods of $l_{1}$ optimization in control and filtering","author":"polyak","year":"0","journal-title":"Proc 3rd Multi-Conf Control Problems"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1016\/0898-1221(76)90003-1"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1561\/2200000016"},{"key":"ref19","article-title":"Convex optimization algorithms for sparse and low-rank representations","author":"vandenberghe","year":"0","journal-title":"Proc Eur Control Conf"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1007\/s10479-008-0352-z"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1016\/j.bspc.2009.06.003"},{"key":"ref27","first-page":"355","article-title":"Sur le point par lequel la somme des distances de $n$ points donn&#x00E9;s est minimum","author":"weiszfeld","year":"1937","journal-title":"Tohoku Mathematical Journal"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2012.2200379"},{"journal-title":"Least Absolute Deviations Theory Applications and Algorithms","year":"1983","author":"bloomfield","key":"ref6"},{"journal-title":"Guaranteed Approach and $l_ 1 $-norm Approximation in Parameter Estimation Problems for SDINS under Bench Testing","year":"2012","author":"akimov","key":"ref29"},{"key":"ref5","first-page":"14?386","article-title":"State estimation via $l_{1}$-norm approximation: Application to inertial navigation","volume":"18","author":"akimov","year":"0","journal-title":"Proc World Congr Int Fed Autom Control"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511804441"},{"journal-title":"Methods for Processing the Observations Quasi-Likelihood Estimates","year":"1983","author":"mudrov","key":"ref7"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1007\/s001860050083"},{"journal-title":"Least Absolute Deviation Estimation of Linear Econometric Models A Literature Review","year":"2007","author":"dasgupta","key":"ref9"},{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1109\/9.898695"},{"journal-title":"Optimal Control","year":"2005","author":"alekseev","key":"ref46"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2011.2161300"},{"journal-title":"Estimators for Uncertain Dynamic Systems","year":"1999","author":"matasov","key":"ref45"},{"key":"ref48","first-page":"2427","article-title":"Recursive estimation algorithm for $l_{1}$-norm approximation in dynamic systems with nonoptimality levels","author":"akimov","year":"0","journal-title":"Proc Eur Control Conf"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1080\/01621459.1973.10481436"},{"journal-title":"Convex Analysis and Variational Problems","year":"1976","author":"ekeland","key":"ref47"},{"key":"ref21","article-title":"An ADMM algorithm for a class of total variation regularized estimation problems","author":"wahlberg","year":"0","journal-title":"Proc IFAC Symp Syst Ident"},{"journal-title":"Aided Navigation GPS with High Rate Sensors","year":"2008","author":"farrell","key":"ref42"},{"journal-title":"Linear Estimation","year":"2000","author":"kailath","key":"ref24"},{"journal-title":"Mathematical Foundations of Navigation Systems Part I Mathematical Models of Inertial Navigation","year":"2010","author":"golovan","key":"ref41"},{"journal-title":"Applied Optimal Control","year":"1969","author":"bryson","key":"ref23"},{"key":"ref44","first-page":"353","article-title":"Smoothing for linear and nonlinear dynamic systems","author":"bryson","year":"0","journal-title":"Proc Optimum System Synthesis Conf"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1023\/A:1020759012226"},{"journal-title":"Stochastic Models Estimation and Control","year":"1979","author":"maybeck","key":"ref43"},{"key":"ref25","first-page":"667","article-title":"On the robust estimation of econometric models","volume":"3","author":"fair","year":"1974","journal-title":"Ann Econ Social Meas"}],"container-title":["IEEE Transactions on Automatic Control"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/9\/7064679\/06939669.pdf?arnumber=6939669","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,6,4]],"date-time":"2024-06-04T13:55:13Z","timestamp":1717509313000},"score":1,"resource":{"primary":{"URL":"http:\/\/ieeexplore.ieee.org\/document\/6939669\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,4]]},"references-count":48,"journal-issue":{"issue":"4"},"URL":"https:\/\/doi.org\/10.1109\/tac.2014.2365687","relation":{},"ISSN":["0018-9286","1558-2523"],"issn-type":[{"type":"print","value":"0018-9286"},{"type":"electronic","value":"1558-2523"}],"subject":[],"published":{"date-parts":[[2015,4]]}}}