The characteristic equation of a control system is given by s6+2s5+8s4+12s3+20s2+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. 6
Answer:C
The characteristic equation of a control system is given by s6+2s5+8s4+12s3+20s2+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. 6
Explanation: The stability analysis is done using Routh-Hurwitz criterion and hence the number of roots on the right is calculated.