https://pure.iiasa.ac.at/id/eprint/13592 2021-08-27T17:41:25Z info:eu-repo/semantics/descriptiveMetadata https://pure.iiasa.ac.at/id/eprint/13592/ Guranteed state estimation for dynamical systems: Ellipsoidal techniques Kurzhanski, A. Sugimoto, K. Valyi, I. 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. John Wiley & Sons, Ltd. 1994-01 Article PeerReviewed Kurzhanski, A. <https://pure.iiasa.ac.at/view/iiasa/2088.html>, Sugimoto, K. <https://pure.iiasa.ac.at/view/iiasa/2428.html>, & Valyi, I. <https://pure.iiasa.ac.at/view/iiasa/2471.html> (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 <https://doi.org/10.1002/acs.4480080108>. 10.1002/acs.4480080108 10.1002/acs.4480080108 10.1002/acs.4480080108 info:eu-repo/semantics/humanStartPage