(Controls Question) Controllability Problem Statement: Which of the following is true for...
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(Controls Question) Controllability
Problem Statement:
Which of the following is true for controllability of a continuous LTI system described as follows?
$$\dot{x} = Ax(t) + Bu(t)$$
where $A \in \mathbb{R}^{n \times n}$ and $B \in \mathbb{R}^{n \times m}$
Pick ONE option
Show answer & explanation
Answer: A. A) When A has distinct eigenvalues and in Jordan/Diagonal canonical form the state model is controllable only if all the rows of B are nonzero.
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