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A linear time-invariant system is described by the DE:
x' = Ax + u(t)*b

where A = [-2, 1, 0; 1, -2, 0; 0, 0, -1] and b = [1; 0; 1]
Find the steady state response to a simple harmonice input of period 2pi/omega and amplitude alpha. Give the amplitude and phase for the component x_3(t) only.

 

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