Stabilization of Discrete Systems with Bounded Parameters

Abstract

In this paper stabilization problem of linear discrete single input, single output plant by affine stabilizator is considered. It is assumed that stabilizing vector is bounded and its values are changed in a given box. We use the Schur-Szegö parameters (reflection coefficients) and obtain conditions for nonexistence and existence of a stabilizing vector

In this paper stabilization problem of linear discrete single input, single output plant by affine stabilizator is considered. It is assumed that stabilizing vector is bounded and its values are changed in a given box. We use the Schur-Szegö parameters (reflection coefficients) and obtain conditions for nonexistence and existence of a stabilizing vector