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