Minimal-order polynomial satisfying the equality cTp(A) = 0
In the paper, a space P(c, A) of polynomials satisfying the equality cTp(A) = 0 is considered and characterised in detail. As an application, the problem of finding the minimalorder input/output relationship for a discrete-time system x(m + 1) = Ax(m) + Bu(m), y(m) = cTx(m) + d(m) is then related to the problem of identification of the minimal-order polynomial of P(c, A).