The bezoutian, the Hankel matrix, output feedback and system eigenstructure
TALAL M. BAKRI · International Journal of Control · 1989
Given a minimal linear time-invariant system for which the transfer matrix has a right RP -1 and a left D -1 N coprime matrix-fraction description, an inverse relation is established between the block Hankel matrix (formed from the Markov parameters of the eigenstructure of P and D) and the generalized bezoutian matrix (formed from the polynomial matrices R, P, N and D). Furthermore, it is shown that all eigenstructures that are assignable by output feedback form the same Markov parameters, and this suggests a new approach to eigenstructure assignment.