Consider the system of Problem 8.10(i), given by (a) Find the transfer function...

Consider the system of Problem 8.10(i), given by

(a) Find the transfer function for this system.

(b) Find a different state model for this system, using the transformation

(c) Use MATLAB to check the results in part (b).

(d) Calculate the transfer function of part (b). This function should equal that of part (a).

(e) You have just verified Property 4, (8.77), of similarity transformations. Verify the other three properties in (8.74), (8.75), and (8.76), without finding the eigenvalues.

(f) Verify the results of part (d), using MATLAB.