Consider the system of Problem 8.20
(a) Find the transfer function for this system.
(b) Use a similarity transformation to find a different state mode] for this system.
(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) Verify the results of part (d), using MATLAB.
(f) You have just verified Property 4, (8.77), of similarity transformations. Verify the other three properties in (8.74), (8.75), and (8.76).
(g) From the results of this problem, explain the general effects of a similarity transformation on a first-order system.
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