Consider the system of Figure P13.7. Replace the gains of 1.5 and 2.3 with gains of zero...

Consider the system of Figure P13.7. Replace the gains of 1.5 and 2.3 with gains of zero for this problem.

(a) Write the state equations, with the outputs of the delays as the states.

(b) Find the state-transition matrix.

(c) Find the system output for u[n] = 0 and the initial states given by x(0) = [1 9]^T.

(d) Find the system unit step response, with x(0) = 0, using the z-transform as in (13.32).

(e) Verify the results of part (d), using the z-transform and the system-transfer function.

(f) Find the system response, with the initial conditions given in part (c) and the input in part (d).

(g) Verify the results in part (f), using SIMULINK.