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Transfer Function from SSM

The transfer ...

Question

The transfer function for the state variable representation $X = A X + B U, Y = C X + D U$ , is given by

D + C (s I - A)^{- 1} B

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B (s I - A)^{- 1} C + D

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D (s I - A)^{- 1} B + C

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C (s I - A)^{- 1} D + B

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Solution

The correct option is A $D + C (s I - A)^{- 1} B$
$T . F . = C [s I - A]^{- 1} B + D$

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