Module $-4$

a$)$ A feedback control system is modeled with the following transfer functions:

$G_c(s)=K_c$;$G_f(s)=2$;$G_m(s)=0\mathrm{.}25$ and $G_p(s)=\frac{4e^{-s}}{(5(s)+1)}$

Find the range of $K_c$ for a proportional controller for which the system is stable, using Routh Array.d