CP3.4 Consider the system

(a) Using the tf function, determine the transfer function Y(s)/U(s).

(b) Plot the response of the system to the initial condition x(0) = [ 0 −1 1 ]T for 0 t 20.

(c) Compute the state transition matrix using the expm function, and determine x(t) at t = 20 for the initial condition given in part (b). Compare the result with the system response obtained in part (b).

0 1 0 0 x(t) = 0 0 1x(t)+0u(t), -4 -1 -6 y(t)= [100]x(t).