%0 Journal Article
%@ 08906327
%A Kurzhanski, A.
%A Sugimoto, K.
%A Valyi, I.
%D 1994
%F iiasa:13592
%I John Wiley & Sons, Ltd.
%J International Journal of Adaptive Control and Signal Processing
%N 1
%P 85-101
%R 10.1002/acs.4480080108
%T Guranteed state estimation for dynamical systems: Ellipsoidal techniques
%U https://pure.iiasa.ac.at/id/eprint/13592/
%V 8
%X 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.