Question: (5 points) the transfer function G(s) = C(SI - A) B = p(s) has a relative degree n, i.e., deg(p(s)) - deg(n(s)) = n. Hint:

(5 points) the transfer function G(s) = C(SI - A) B = p(s) has a relative degree n, i.e., deg(p(s)) - deg(n(s)) = n. Hint: note that in the SISO case, p(s) = det (SI - A) is an n-th order polynomial of s, the statement (ii) is equivalent to saying that the numerator polynomial n(s) must be a constant, i.e. deg(n(s)) = 0

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