Question

An underdamped second order system with negative damping will have the roots :

(a) On the negative real axis as roots

(b) On the left hand side of complex plane as complex roots

(c) On the right hand side of complex plane as complex conjugates

(d) On the positive real axis as real roots

The question was posed to me by my school teacher while I was bunking the class.

I'd like to ask this question from Time Domain Analysis topic in division Stability in Frequency Domain of Control Systems

Answer 1

Correct answer is (c) On the right hand side of complex plane as complex conjugates

The best explanation: An underdamped second order system is the system which has damping factor less than unity and with negative damping will have the roots on the right hand side of complex plane as complex conjugates.