Consider the system described by the state equations
(a) Find the state transition matrix.
(b) Verify the results of Part (a), using a different procedure.
(c) Find the initial-condition response for x(0) = [1 2]T.
(d) Verify the calculation of the state vector x[n] in Part (c), by substitution in the equation x[n + 1] = Ax[n].
(e) Calculate the system unit step response, with x(0) = 0, using iteration.
(f) Calculate the system unit step response, with x(0) = 0, using (13.32).
(g) Verify the results of Parts (e) and (f), using the system transfer function and the z-transform.
(h) Verify the results in Part (g) using MATLAB.
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