To see the effect of the zeros on the complete response of a system, sup-pose you have

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To see the effect of the zeros on the complete response of a system, sup-pose you have a system with a transfer function

,2 Y (s) H(s) : X(s) s((s+ 1)² +1)|

(a) Find and plot the poles and zeros of H(s). Is this BIBO stable?

(b) Find the frequency ­Î©0 of the input x(t) = 2 cos(Ω0 t) 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 x(t) = 2 sin(Ω0 t) u(t)would you get the same result as above? Explain why or why not.

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