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(c) A continuous plant is represented by the following state space model: (° 1 x = T + u(t) = - a B i. What values of a and B, if any, would make the system uncontrollable? [2] ii. What values of a and B, if any, would make the system unobservable? [2] iii. What values of O and B, if any, would make the system unstable? [3] iv. The Matlab command eig can be be used to find the eigenvectors and eigenvalues of a matrix. Explain why the eigenvalues and eigenvectors of the state matrix are important for control engineering.

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