eprintid: 14150 rev_number: 7 eprint_status: archive userid: 5 dir: disk0/00/01/41/50 datestamp: 2016-12-14 10:28:55 lastmod: 2021-08-27 17:41:44 status_changed: 2016-12-14 10:28:55 type: article metadata_visibility: show item_issues_count: 1 creators_name: Kurzhanski, A. creators_id: AL0216 title: On stochastic filtering approximations of estimation problems for systems with uncertainty∗ ispublished: pub keywords: State estimation, multistage linear system, geometric constraints, convex analysis, Kalman filter abstract: This paper considers estimating the state of a discrete-time linear system in which the values of an unobserved disturbance process are only known to lie in certain prescribed sets. By introducing additional stochastic disturbances it is shown that this problem can be approximated to arbitrarily high accuracy by the solution of a Kalman filtering problem date: 1988 date_type: published publisher: Taylor and Francis id_number: 10.1080/17442508808833485 creators_browse_id: 2088 full_text_status: none publication: Stochastics volume: 23 number: 2 pagerange: 109-130 refereed: TRUE issn: 0090-9491 coversheets_dirty: FALSE fp7_type: info:eu-repo/semantics/article citation: Kurzhanski, A. (1988). On stochastic filtering approximations of estimation problems for systems with uncertainty∗. Stochastics 23 (2) 109-130. 10.1080/17442508808833485 .