The positive value K of will have K for zeroes which

The positive value K of will have K for zeroes which $\left[ {1 + \dfrac{K}{{(s + 1)(s + 2)}}} \right]$ on the right-half of the complex s-plane is

Right Answer is: No such K exists

SOLUTION

Applying Routh-Hurwitz criterion

(s + 1)(s + 2) + K = 0

s2 + 3s + (2 + K) = 0

For K > 0, no such value exists so that zeros lies in the right half of the s-plane.

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