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(Solved): 3. Consider the closed loop system given below. \[ G(S)=\frac{K(S+1)}{S(S+2)(S+3)} \] a) Determine ...
![3. Consider the closed loop system given below.
\[
G(S)=\frac{K(S+1)}{S(S+2)(S+3)}
\]
a) Determine the characteristic equatio](https://media.cheggcdn.com/study/33a/33a3904e-f86c-4765-8574-babc66bafb9e/image)
3. Consider the closed loop system given below. \[ G(S)=\frac{K(S+1)}{S(S+2)(S+3)} \] a) Determine the characteristic equation of the closed loop control system. b) Set up the Routh table and using the Routh-Hurwiz stability criterion, determine the range of \( \mathrm{K} \) for which the system is stable.