@article{Zhuk_2009, title={State estimation for a dynamical system described by a linear equation with unknown parameters}, volume={61}, url={https://umj.imath.kiev.ua/index.php/umj/article/view/3013}, abstractNote={We investigate the state estimation problem for a dynamical system described by a linear operator equation with unknown parameters in a Hilbert space. In the case of quadratic restrictions on the unknown parameters, we propose formulas for <em class="EmphasisTypeItalic ">a priori</em> mean-square minimax estimators and <em class="EmphasisTypeItalic ">a posteriori</em> linear minimax estimators. A criterion for the finiteness of the minimax error is formulated. As an example, the main results are applied to a system of linear algebraic-differential equations with constant coefficients.}, number={2}, journal={Ukrainsâ€™kyi Matematychnyi Zhurnal}, author={Zhuk, S. M.}, year={2009}, month={Feb.}, pages={178-194} }