Question

Use Routh's stability criterion to determine how many roots with positive real parts the following equations have (a) (5 points) s4 8s3 32s2 80s +1000 (b) (5 points) s5 +10s4 +30s3 +80s2 +344s +480- (c) (5 points)2s3+7s2 -2s+8-0 (d) (5 points) s3 +s2 +20s 780 (e) (5 points6s 25 0

Answer 1

a) no roots not in LHP

b) 2 roots not in LHP

c) 2 roots not in the LHP

d) 2 roots not in the LHP

e) 2 roots not in LHP

Explanation: