Consider the system in state variable form

with

(a) Compute the transfer function G(s) = Y(s)/U (s

(b) Determine the poles and zeros of the system.

(c) If
possible, represent the system as a first-order system

Where a, b, c, and d are scalars such that the transfer function is the same as obtained in (a).

x(t) = Ax(t) + Bu(t) y(t) = Cx (t) + Du(t)