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##### EXERCISES

1. Find the stability of the system by Routh’s criterion. The characteristic equation of the system is

s4 + 6s3 + 26s2 + 56s + 82 = 0

[Ans.: Stable]

2. If the characteristic equation of the system is s3−− 4s2 + s + 10 = 0, find the stability of the system by Routh’s criterion.

[Ans.: Unstable]

3. If the characteristic equation of the system is s6 + 4s5 + 3s4−16s2− 64s − 48 = 0, find the stability of the system by Routh’s criterion. Also find the number of roots of this equation with positive real part, zero real part and negative real part.

[Ans.: Unstable, Roots with positiveReal part is one, Roots with negativeReal part are three, Roots with zeroReal part are two]

4. Determine range of values of K, marginal value of K and frequency ...

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