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Control SystemsRouth-Hurwitz

At K=6 for s³+2s²+3s+K, the system is at the?

  • AStability boundary
  • BAlways strictly stable
  • CAlways overdamped
  • DOrigin with three repeated poles
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Correct Answer: A. Stability boundary
Explanation: At K=6, a Routh first-column element becomes zero and a conjugate pair lies on the imaginary axis, marking the stability boundary.
Reference: Standard control systems: routh-hurwitz
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