On the property of a discrete impulse response Gramian with application to model reduction
It has been observed in the literature that the characteristic polynomial of a discrete system can be computed from the characteristic impulse response Gramian. In this letter it is shown that a given characteristic impulse response Gramian, in fact, contains information on two characteristic polynomials. The importance of this result is illustrated through an application to model reduction of discrete systems.
discrete impulse response gramian model reduction