eprintid: 13592 rev_number: 7 eprint_status: archive userid: 353 dir: disk0/00/01/35/92 datestamp: 2016-08-04 14:29:23 lastmod: 2021-08-27 17:41:25 status_changed: 2016-08-04 14:29:23 type: article metadata_visibility: show item_issues_count: 1 creators_name: Kurzhanski, A. creators_name: Sugimoto, K. creators_name: Valyi, I. creators_id: AL0216 creators_id: AL1264 creators_id: AL1323 title: Guranteed state estimation for dynamical systems: Ellipsoidal techniques ispublished: pub abstract: This paper gives a concise description of effective solutions to the guaranteed state estimation problems for dynamic systems with uncertain items being unknown but bounded. It indicates a rather unconventional, rigorous theory for these problems based on the notion of evolution equations of the ‘funnel’ type which could be further transformed - through exact ellipsoidal representations - into algorithmic procedures that allow effective simulation, particularly with computer graphics. the estimation problem is also interpreted as a problem of tracking a partially known system under incomplete measurements. Mathematically, the technique described in this paper is based on a theory of set-valued evolution equations with the approximation of solutions formulated in terms of set-valued calculus by ellipsoidal-valued functions. date: 1994-01 date_type: published publisher: John Wiley & Sons, Ltd. id_number: 10.1002/acs.4480080108 creators_browse_id: 2088 creators_browse_id: 2428 creators_browse_id: 2471 full_text_status: none publication: International Journal of Adaptive Control and Signal Processing volume: 8 number: 1 pagerange: 85-101 refereed: TRUE issn: 08906327 coversheets_dirty: FALSE fp7_project: no fp7_type: info:eu-repo/semantics/article citation: Kurzhanski, A. , Sugimoto, K. , & Valyi, I. (1994). Guranteed state estimation for dynamical systems: Ellipsoidal techniques. International Journal of Adaptive Control and Signal Processing 8 (1) 85-101. 10.1002/acs.4480080108 .