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 matrix T_{o}(s) , the structure of the maximal ( A, B )- invariant subspace contained in \ker C is investigated using a polynomial matrix approach. Thus, certain connections between the geometric and the polynomial matrix approaches to linear system theory are established.

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