Question: A linear system X:= Ax+Bu y = Cx+Du has D = 0, where the plant and input matrices (A, B) are given by ([ ~i

A linear system X:= Ax+Bu y = Cx+Du has D = 0, where the plant and input matrices (A, B) are given by

([ ~i -20] [1]) (A, B) = ~ 3 ~ , ~

(a) Discuss the controllability and stability of this system

(b) Determine the feedback matrix K that will place the poles of the system at -1,-1 ±j.

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