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Control SystemsRouth-Hurwitz

The characteristic polynomial s²+4s+8 is stable because its second-order coefficients are?

  • AAll positive
  • BAll negative
  • CAlternating in sign
  • DZero
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Correct Answer: A. All positive
Explanation: For a second-order polynomial s²+a1s+a0, positive a1 and a0 imply both roots have negative real parts.
Reference: Standard control systems: routh-hurwitz
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