An alternative solution to the problem of pole assignment by static output feedback

Abstract This note discusses the problem of pole placement by static output feedback from a geometric point of view. It is shown, without any assumption on the genericity of the system, that the pole placement can be solved by choosing the closed-loop eigenvectors almost freely. We propose a numerical algorithm that allows to fix the desired set of all closed-loop eigenvalues with a small relative error, Moreover, such algorithm seems to be simpler than those known from literature.