On Maximal Initial Data Set in Problems of Practical Stability of Discrete System

摘要

We substantiate properties of sets of attainability of a discrete system, on the basis of which the compactness of maximal set of initial conditions, properties of its boundary and internal points are proved. For linear discrete system we obtain the Minkowski function, the inverse Minkowski function and the support function of maximal set, as well as the criterion of belonging of the point to its boundary. The results have algorithmic direction.