Question: The open-loop transfer function of a unity feedback control system is [ mathrm{G}(s) mathrm{H}(s)=frac{30}{s(s+1)(s+mathrm{T})} ] where (mathrm{T}) is a variable parameter. The closed-loop system will

The open-loop transfer function of a unity feedback control system is

\[
\mathrm{G}(s) \mathrm{H}(s)=\frac{30}{s(s+1)(s+\mathrm{T})}
\]

where $\mathrm{T}$ is a variable parameter. The closed-loop system will be stable for all values of
(a) $\mathrm{T}>0$
(b) $0<\mathrm{T}<3$
(c) $\mathrm{T}>5$
(d) $3<\mathrm{T}<5$

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