Question

Use Routh’s stability criterion to determine the stability and how many roots are in the RHP for the following systems: (a) ????????3 + ????????2 + 31???????? + 103 = 0 (b) ????????3 + ????????2 + 20???????? + 78 = 0 (c) ????????4 + 2????????3 + 7????????2 + 10???????? + 6 = 0 3. Find the range of K for which all the roots of the following polynomial are in the LHP: ????????4 + 6????????3 + 8????????2 + 12???????? + 13 − KK = 0

Answer 1

A) 2 roots are in RHP. Unstable

B) There are no sign changes. Therefore, there are no roots in RHP. (Stable)

C) 2 roots are in RHP. Unstable

D) 2 roots are in RHP. Unstable

Step-by-step explanation:

See attached images