The closed-loop transfer function of a control system is [ T(s)=frac{K}{s^{4}+6 s^{3}+30 s^{2}+60 s+K} ] What should

Question:

The closed-loop transfer function of a control system is

\[
T(s)=\frac{K}{s^{4}+6 s^{3}+30 s^{2}+60 s+K}
\]

What should be the upper limit on $\mathrm{K}$ if all the poles of $\mathrm{T}(s)$ are required to lie to the left of the line $\sigma=-1$ ?

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