ASYMPTOTIC STABILITY OF DIFFERENCE INCLUSIONS AND THE ROBUST STABILITY OF DISCRETE-SYSTEMS WITH VARIABLE PARAMETERS

A theorem is formulated which determines sufficient conditions of asymptotic stability of the evolution process described by the difference inclusions. It is shown that the analysis of the robust stability of linear discrete systems with variable parameters is reduced to the analysis of the stability of a special class of difference inclusions. A sufficiently constructive criterion of the robust stability of the considered class of the discrete systems is obtained.