Question: 3 2 -2 4. (3 points) For: G7(s) = }; G2 (5) s= = ; G3(s) = S 2s+1 s+0.25 G1 U Ga Y G3

3 2 -2 4. (3 points) For: G7(s) = }; G2 (5) s= = ; G3(s) = S 2s+1 s+0.25 G1 U Ga Y G3 a. What is the order of the overall transfer function, G(s)=Y(S)/U(s)? b. What is the gain of G(s)? c. What are the poles of G(s)? Where are they located in the complex s-plane? d. What are the zeros of G(s)? Where are they located in the complex s-plane? What behavior does this indicate in response to a step change in u(t)? e. For any input change, what functions of time (response modes) will be included in the response, y(t)? f. Is the output bounded for u(t) = M
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