By locating their poles in the s-plane, determine the stability of systems with the following Transfer Function

Question:

By locating their poles in the s-plane, determine the stability of systems with the following Transfer Function models.

(a)

\[T(s)=\frac{1}{s+2}\]

(b)

\[T(s)=\frac{1}{s-3}\]

(c)

\[T(s)=\frac{1}{s^{2}+1}\]

(d)

\[T(s)=\frac{1}{s^{2}}\]


(e)
\[T(s)=\frac{1}{(s+1)(s-3)}\]

(f)
\[T(s)=\frac{1}{s^{2}+2 s+2}\]

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