On guaranteed estimate of reconstruction error of parameters of linear difference system

We consider the problem of reconstructing parameters of linear autonomous difference system with discrete time by a finite set of observations under the assumption that those include an error of measurement. As for the error, the propositions about it are minimal ones, namely, the difference between a state vector and the corresponding observation is componentwisely bounded above in absolute value by a given positive number. Under these assumptions, we propose a theorem of a minimal guaranteed estimate of the reconstruction error and describe the corresponding algorithm of reconstruction.