Given G(s) in the picture, determine: 1. The poles, the zeroes, and the region of convergence of G(s) 2. Sketch the pole-zerio diagram of G(s) 3. Is G(s) stable? Explain.

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Given G(s) in the picture, determine:

1. The poles, the zeroes, and the region of convergence of G(s)

2. Sketch the pole-zerio diagram of G(s)

3. Is G(s) stable? Explain.

A real continuous-time LTI system is given by the block diagram below.
R(s)
E(s)
Y(s)
G(s)
The input is denoted by R(s) while the output is denoted by Y (s). The error function, E(s),
is equal to the difference between the input and the output signals, E(s) = R(s) – Y (s).
K(s – 5)
G(s) =
s2 – 4s + 29
where K is a positive scaling factor.
Transcribed Image Text:A real continuous-time LTI system is given by the block diagram below. R(s) E(s) Y(s) G(s) The input is denoted by R(s) while the output is denoted by Y (s). The error function, E(s), is equal to the difference between the input and the output signals, E(s) = R(s) – Y (s). K(s – 5) G(s) = s2 – 4s + 29 where K is a positive scaling factor.
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