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(Solved): A feedback system has an open-loop transfer function of \[ G(s) H(s)=\frac{k e^{-s}}{s\lef ...
![A feedback system has an open-loop transfer function of
\[
G(s) H(s)=\frac{k e^{-s}}{s\left(s^{2}+5 s+9\right)}
\]
Using Rout](https://media.cheggcdn.com/study/4b9/4b99202a-1339-42d1-967e-ccfacd428d2c/image.jpg)
A feedback system has an open-loop transfer function of \[ G(s) H(s)=\frac{k e^{-s}}{s\left(s^{2}+5 s+9\right)} \] Using Routh criterion, find the maximum value of \( k \) for the closed-loop system to be stable.
Expert Answer
solution: step1: G(s)H(s)=ke?ss(s2+5s+9)e?ts=1?