(b) For each of the following input-output systems write down the corresponding matrices A, B, C and D when written in the state-space form
Č = Ax + Bu
y = Cx + Du
(c) The state-space matrices of a given linear input-output system are
A = [5 -1; -4 1], B = [-2; 3], C = [1 -2], D = [2]
Show that the transfer function G(s) of the input-output system is given by
G(s) = (2s^2 - 20s + 15) / (s^2 - 6s + 1)
Hence determine the stability of the input-output system.
