The characteristic equation of a control system is given by s^6+2s^5+8s^4+12s^3+20s^2+16s+16=0 . The number of the roots of the equation which lie on the imaginary axis of s-plane:(a) 0(b) 2(c) 4(d) 6The question was posed to me by my school teacher while I was bunking the class.The doubt is from Stability Analysis in section Digital Control Systems of Control Systems

The characteristic equation of a control system is given by s^6+2s^5+8

1.	The characteristic equation of a control system is given by s^6+2s^5+8s^4+12s^3+20s^2+16s+16=0 . The number of the roots of the equation which lie on the imaginary axis of s-plane:(a) 0(b) 2(c) 4(d) 6The question was posed to me by my school teacher while I was bunking the class.The doubt is from Stability Analysis in section Digital Control Systems of Control Systems
Answer» Correct answer is (c) 4 For explanation I would say: The stability analysis is done USING Routh-Hurwitz CRITERION and hence the NUMBER of roots on the RIGHT is CALCULATED.

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