Question: 5. Consider the following system: -4 1 1 x(t) = Ax(t)+bu(t), A = b= -4 2 9 2 -3 --- - 2 y(t) = Cx(t),

5. Consider the following system: -4 1 1 x(t) = Ax(t)+bu(t),

5. Consider the following system: -4 1 1 x(t) = Ax(t)+bu(t), A = b= -4 2 9 2 -3 --- - 2 y(t) = Cx(t), C = [ -1 2 1] (a) Check the controllability and stabilizability of the system (b) Find a full-state feedback gain such that most of the closed-loop poles are located at -4 5. Consider the following system: -4 1 1 x(t) = Ax(t)+bu(t), A = b= -4 2 9 2 -3 --- - 2 y(t) = Cx(t), C = [ -1 2 1] (a) Check the controllability and stabilizability of the system (b) Find a full-state feedback gain such that most of the closed-loop poles are located at -4

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