On the geometry of the inverse system

The geometry of a particular reduced-order state-space realization of the inverse of a linear, continuous, time-invariant, strictly proper system is considered. This geometry is characterized by the eigenstructure of the dynamic part of the inverse which is related to the invariant zero structure of the inverted system. A method for deriving explicit expressions for the zeros and the zero directions is introduced. This method is demonstrated in an example of a uniform-rank system.