(a) Write the state equations for the system modeled by the simulation diagram of Figure.(...

(a) Write the state equations for the system modeled by the simulation diagram of Figure.

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(b) Use the results of Part (a) to find the system-transfer function.

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(c) Use a similarity transformation to find a different state model for this system.

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(d) Use MATLAB to verify the results of Parts (a) and (b).

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(e) Calculate the transfer function of Part (b). This function should equal that of Part (a).

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(f) Verify the results in Part (d) using MATLAB.

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(g) You have just verified Property 4, (13.64), of similarity transformations. Verify the other three properties in (13.61), (13.62), and (13.63).