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Control SystemsState Space

The controllability matrix for an n-state single-input system is?

  • A[B AB A²B ... A^(n-1)B]
  • B[C CA CA² ...]
  • C[A B C D]
  • D[I A] only
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Correct Answer: A. [B AB A²B ... A^(n-1)B]
Explanation: The standard controllability matrix is Cc=[B AB A²B ... A^(n-1)B].
Reference: Standard control systems: state space
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