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Unit 2.0: Mathematical Modelling

20242m

For system A=[01−1−3]A = \begin{bmatrix} 0 & 1 \\ -1 & -3 \end{bmatrix}, B=[01]B = \begin{bmatrix} 0 \\ 1 \end{bmatrix}, check controllability using rank.
(i) Rank = 2, controllable
(ii) Rank = 1, uncontrollable
(iii) Rank = 2, not observable
(iv) Rank = 1, observable

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