None of the coefficients can be zero or negative unless one of the following occurs:(a) One or more roots have positive real parts(b) A root at origin(c) Presence of root at the imaginary axis(d) All of the mentionedI had been asked this question during an interview.This question is from Necessary Conditions for Stability and Non-Linear Systems topic in chapter Stability and Algebraic Criteria of Control Systems

None of the coefficients can be zero or negative unless one of the fol

1.	None of the coefficients can be zero or negative unless one of the following occurs:(a) One or more roots have positive real parts(b) A root at origin(c) Presence of root at the imaginary axis(d) All of the mentionedI had been asked this question during an interview.This question is from Necessary Conditions for Stability and Non-Linear Systems topic in chapter Stability and Algebraic Criteria of Control Systems
Answer» Right ANSWER is (d) All of the mentioned The best I can explain: None of the coefficients can be zero or NEGATIVE unless one or more roots have POSITIVE REAL PARTS, root at origin and presence of root at the imaginary axis.

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