Question: The loop transfer function of a feedback control system is given by: [ mathrm{G}(s) mathrm{H}(s)=frac{mathrm{K}(s+1)}{s(1+s mathrm{~T})(1+2 s)}, mathrm{K}>0 ] Use Routh Hurwitz criterion to determine

The loop transfer function of a feedback control system is given by:

\[
\mathrm{G}(s) \mathrm{H}(s)=\frac{\mathrm{K}(s+1)}{s(1+s \mathrm{~T})(1+2 s)}, \mathrm{K}>0
\]

Use Routh Hurwitz criterion to determine the region of $\mathrm{K}-\mathrm{T}$ plane in which the closed-loop system is stable.

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