On reconstruction of disturbances in a system with hereditary

The author gives the meaningful statement of the problem of reconstruction of an unknown input through the measurement of the output. This problem was investigated by Blizorukova and Maksimov (1997) in the context of the approach for more general class of systems and the solving procedure was designed. In the present paper this procedure is modified in such a way that at every iteration finite-dimensional dynamical systems are used instead of auxiliary infinite-dimensional dynamical systems. These systems play the role of approximations to corresponding equations with hereditary