On the structure of maximal(A, B)-Invariant subspaces: A polynomial matrix approach

Given a controllable and observable triple (A, B, C) describing a linear time invariant multivariable system Σ, which gives rise to a full rank transfer function matrixT_{o}(s), the structure of the maximal (A, B)- invariant subspace contained inker Cis investigated using a polynomial matrix approach. Thus, certain connections between the geometric and the polynomial matrix approaches to linear system theory are established.