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Unformatted text preview: G ( s ) = 1 ( s + 1)( s + 2) s + 3 ( s + 1)( s + 2) 1 s + 2 3 s + 2 ( s + 3)( s + 4) 5. What is the transfer function for ˙ x = "2 1 12 # x + " 1 2 1 0 # u y = h 3 1 i x 6. Given ˙ x = " 32 1 # x y = h 1 1 i x ﬁnd (scalar) expressions for y ( t ) when (a) x (0) = " 1 1 # (b) x (0) = " 2 1 # (c) x (0) = " 3 2 # 7. What is e At if A = 2 1 0 0 0 2 0 0 0 0 3 1 0 0 0 3 8. Find K so that the eigenvalues of ABK are λ =1 ,2 ,3 if A = 1 1123 B = 1...
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 Spring '07
 Williamson
 LTI system theory, A Closed Book, Theory Final Examination

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