Differentiable structure of the set of controllable (A,B)t-invariant subspaces Original Research Article

Given (A,B)t set membership, variant Hom(imagen,imagen+m) observable, we prove that the set of (A,B)t-invariant subspaces having a fixed Brunovsky-Kronecker structure is a connected manifold, and we compute its dimension. Also, we include some applications of these results.