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State Space MCQs

Practice State Space MCQs with four options, answers and explanations for focused Electronics & Telecommunication Engineering revision.

Question 2
Control SystemsState Space

The eigenvalues of the state matrix A correspond to the system’s?

  • APoles for a minimal state-space realization
  • BZeros only
  • CInput frequencies only
  • DStatic error constants
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Correct Answer: A. Poles for a minimal state-space realization
Explanation: For a minimal realization, eigenvalues of A are the system poles.
Reference: Standard control systems: state space
Question 3
Control SystemsState Space

A continuous-time state-space system x_dot=Ax is asymptotically stable if all eigenvalues of A have?

  • AStrictly negative real parts
  • BStrictly positive real parts
  • CZero real parts only
  • DMagnitude greater than one
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Correct Answer: A. Strictly negative real parts
Explanation: For a finite-dimensional continuous-time LTI system, asymptotic stability requires all eigenvalues of A to lie strictly in the left half-plane.
Reference: Standard control systems: state space
Question 6
Control SystemsState Space

The observability matrix for an n-state system begins as?

  • A[C; CA; CA²; ...; CA^(n-1)]
  • B[B; AB; A²B; ...]
  • C[A; B; C]
  • D[D; CD] only
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Correct Answer: A. [C; CA; CA²; ...; CA^(n-1)]
Explanation: The standard observability matrix is formed by stacking C, CA, CA², ..., CA^(n-1).
Reference: Standard control systems: state space