MCQ Practice Question

For a polynomial with all positive coefficients, positivity of coefficients alone is?

  • AAlways sufficient for stability
  • BNecessary but not generally sufficient for Hurwitz stability
  • CNever relevant
  • DSufficient only for every fourth-order system
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Correct Answer: B. Necessary but not generally sufficient for Hurwitz stability
Explanation: For a Hurwitz polynomial, coefficients must satisfy necessary sign conditions, but positive coefficients alone do not guarantee all roots lie in the left half-plane.
Reference: Standard control systems: routh-hurwitz
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