Minimal control fields and pole-shifting by linear feedback

摘要

In this paper we consider the stabilization of constant linear systems by linear feedback controls. In particular, the problem of the number of components of the state which must be measured to achieve a prescribed location of the closed-loop poles is studied. A simple, computable necessary and sufficient condition is given for the omission of state variables from the measurement process. The theoretical results are illustrated by examples and a discussion of related topics for future research is given.