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Network TheoryNetwork Functions

For a stable continuous-time LTI network with a rational transfer function, all poles must lie where in the s-plane for asymptotic stability?

  • AStrictly in the left half-plane
  • BStrictly in the right half-plane
  • COnly on the positive real axis
  • DAnywhere with positive real part
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Correct Answer: A. Strictly in the left half-plane
Explanation: For a causal rational continuous-time system to be asymptotically stable, its poles must have negative real parts, i.e. lie strictly in the left half-plane.
Reference: Standard network theory: network functions
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