If $$s^3+\;3s^2\;+\;4s\;+A\;=\;0$$ ,then all the roots of this equation are in the left half plane provided that

An electromechanical closed-loop control system has the following characteristic equation $$s^3+6Ks^2+\left(K+2\right)s+8\;=\;0$$, where K is the forward gain of the system.The condition for closed loop stability is

In order to stabilize the system shown in fig. T_i should satisfy:

Consider a characteristic equation given by
s⁴ + 3s³ + 5s² + 6s + K + 10 = 0.
The condition for stability is