@article{iiasa13592, volume = {8}, number = {1}, month = {January}, title = {Guranteed state estimation for dynamical systems: Ellipsoidal techniques}, publisher = {John Wiley \& Sons, Ltd.}, year = {1994}, journal = {International Journal of Adaptive Control and Signal Processing}, doi = {10.1002/acs.4480080108}, pages = {85--101}, url = {https://pure.iiasa.ac.at/id/eprint/13592/}, issn = {08906327}, 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.}, author = {Kurzhanski, A. and Sugimoto, K. and Valyi, I.} }