Consider the following linear system. 0 1 0 x = 0 0 1 x+ . 24...

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Consider the following linear system. 0 1 0 x = 0 0 1 x+ . 24 14 - y = [2 1 1] X. (a) Determine whether this system is controllable or not. (b) Design a linear control system u = -Kx such that the eigenvalues of the closed-loop system are located at -55i and -10. (c) Find the eigenvalue of A- BK and verify your answer to (b). Consider the following linear system. 0 1 0 x = 0 0 1 x+ . 24 14 - y = [2 1 1] X. (a) Determine whether this system is controllable or not. (b) Design a linear control system u = -Kx such that the eigenvalues of the closed-loop system are located at -55i and -10. (c) Find the eigenvalue of A- BK and verify your answer to (b).