*(English)*Zbl 0581.93051

[For the entire collection see Zbl 0568.00005.]

The paper represents a concise coverage of the most significant known facts about the stabilization of parametrized families of linear systems. Several fundamental theorems with respect to pole-assignability using static and dynamic controllers are reviewed in the first part.

The following two sectins deal with stabilization problems for controllable and asycontrollable families, the special cases of ring controllability respectively of ring-asycontrollability being fully developped.

The work ends with the demonstration of a new result: the pointwise asycontrollable continuous-time polynomial of rational families, and discrete-time ratinal families are asycontrollable and can be dynamically stabilized.