Question

A system with unity feedback is shown in Figure 2 below. Use the Routh-Hurwitz stability criterion, determine if the closed-loop feedback control system \text { shown in Figure } 2 \text { is stable for the case where } G(s)=\frac{\alpha(s+4)(s+1)}{(s+2)\left(s^{2}+10 s+20\right)}\langle\alpha \text { is } 36 \text { ) }

Fig: 1

Fig: 2

Fig: 3

Fig: 4