routh array

Consider the polynomial $p(s)=s^5+7 s^4+3 s^3-33 s^2+2 s-40$. Let $(L, I, R)$ be defined as follows. $L$ is the number of roots of $p(s)$ with negative real parts. $I$ is the numbe...

The characteristic equation of an LTI system is given by F(s) = s 5 + 2s 4 +3s 3 + 6s 2 - 4s - 8 = 0.The number of roots that lie strictly in the left half s-plane is _____.

The number of open right half plane poles of $$$G\left(s\right)\;=\;\frac{10}{s^5\;+2s^4\;+3s^3\;+6s^2\;+5s\;+3}\;is$$$

For the polynomial P(s) = s 5 + s 4 + 2s 3 + 2s 2 + 3s + 15 , the number of roots which lie in the right half of the s-plane is

The characteristic polynomial of a system is q(s) = 2s 5 + s 4 + 4s 3 + 2s 2 + 2s + 1. The system is

The loop transfer function of a feedback control system is given by $$$G\left(s\right)H\left(s\right)=\frac{K\left(s+1\right)}{s\left(1+Ts\right)\left(1+2s\right)},\;K>0$$$ Using R...

The number of roots of $$s^3\;+\;5s^2\;+\;7s\;+\;3\;=\;0$$ in the left half of the s-plane are

The characteristic equation of a feedback control system is $$$s^4+20s^3+15s^2+2s+K\;=\;0$$$ (i) Determine the range of K for the system to be stable. (ii) Can the system be margin...

Consider a characteristic equation given by s 4 + 3s 3 + 5s 2 + 6s + K + 10 = 0. The condition for stability is