To see the effect of the zeros on the complete response of a system, suppose you have a system with a transfer function
(a) Find and plot the poles and zeros of H(s). Is this BIBO stable?
(b) Find the frequency Ω0 of the input x(t) = 2 cos(Ω0t)u(t) such that the output of the given system is zero in the steady state. Why do you think this happens?
(c) If the input is a sine instead of a cosine, would you get the same result as above? Explain why or why not.
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