RT Journal Article
SR 00
ID 10.1002/acs.4480080108
A1 Kurzhanski, A.
A1 Sugimoto, K.
A1 Valyi, I.
T1 Guranteed state estimation for dynamical systems: Ellipsoidal techniques
JF International Journal of Adaptive Control and Signal Processing
YR 1994
FD 1994-01
VO 8
IS 1
SP 85
OP 101
AB 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.
PB John Wiley & Sons, Ltd.
SN 08906327
LK https://pure.iiasa.ac.at/id/eprint/13592/