Conditioned Invariant Subspaces and the Geometry of Nilpotent Matrices

Abstract

The focus of this work is on certain geometric aspects of the classification problems for invariant and conditioned invariant subspaces. In this paper, we make an attempt to illustrate the interplay between geometry and control, by focussing on the connections between partial state observers, spaces of invariant and conditioned invariant subspaces, and nilpotent matrices.