TY  - JOUR
ID  - iiasa13592
UR  - https://pure.iiasa.ac.at/id/eprint/13592/
IS  - 1
A1  - Kurzhanski, A.
A1  - Sugimoto, K.
A1  - Valyi, I.
Y1  - 1994/01//
N2  - 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.
JF  - International Journal of Adaptive Control and Signal Processing
VL  - 8
SN  - 08906327
TI  - Guranteed state estimation for dynamical systems: Ellipsoidal techniques
SP  - 85
AV  - none
EP  - 101
ER  -