A remark on "disturbance decoupling for linear time-invariant systems: a matrix pencil approach"

In the paper discussed (see ibid., vol.46, p.802-8, 2001), an approach was proposed for the disturbance decoupling for the linear system. Some details in the proof of the sufficiency of Theorem 2 for the existence of the matrix F/sub 1/ are omitted. We give a detailed proof.