The necessary and sufficient condition for the system to be completely state controllable is that therank of the composite matrix QC is
A)1
B)n
C)2
D)3

Question

Quizplus · Accepted Answer

The necessary and sufficient condition for a system to be completely state controllable is that the rank of the controllability matrix (often denoted as QC) must be equal to the dimension of the state vector, n. This means that all n states of the system can be controlled/influenced by the input.

The Necessary and Sufficient Condition for the System to Be