Recent questions tagged stability

The open loop transfer function of a unity gain negative feedback system is given by $G\left ( s \right ) = \dfrac{k}{s^{2}+4s-5}$. The range of $k$ for which the system ...

Consider a lossy transmission line with $V_1$ and $V_2$ as the sending and receiving end voltages, respectively. $Z$ and $X$ are the series impedance and reactance of the...

The signal flow graph for a system is given below. The transfer function $\dfrac{Y(s)}{U(s)}$ for this system is$\dfrac{s+1}{5s^2+6s+2} \\$$\dfrac{s+1}{s^2+6s+2} \\$$\d...

The Bode plot of a transfer function $G(s)$ is shown in the figure below.The gain $\big(20 \log\mid G(s) \mid \big)$ is $32 dB$ and $-8 dB$ at $1$ rad/s and $10$ rad/s r...

Which of the following statement is NOT TRUE for a continuous time causal and stable $LTI$ system?All the poles of the system must lie on the left side of $j\omega$ axisZ...

The magnitude Bode plot of a network is shown in the figureThe maximum phase angle $\phi _m$ and the corresponding gain $G_m$ respectively, are$-30^{\circ}$ and $1.73$ $d...

The signal flow graph of a system is shown below. $U(s)$ is the input and $C(s)$ is the output.Assuming, $h_1=b_1$ and $h_0=b_0-b_1a_1$ , the input-output transfer functi...

For the signal $f(t)=3 \sin8 \pi t+6 \sin 12\pi t+ \sin14\pi t$ , the minimum sampling frequency (in $Hz$) satisfying the Nyquist criterion is _________.

For the given system, it is desired that the system be stable. The minimum value of $\alpha$ for this condition is ____________..

The root locus of a unity feedback system is shown in the figureThe closed loop transfer function of the system is$\dfrac{C(s)}{R(s)}=\dfrac{K}{(s+1)(s+2)} \\$$\dfrac{C(s...

Nyquist plots of two functions $G_{1}(s)$ and $G_{2}(s)$ are shown in figure.Nyquist plot of the product of $G_{1}(s)$ and $G_{2}(s)$ is

A Bode magnitude plot for the transfer function $G(s)$ of a plant is shown in the figure. Which one of the following transfer functions best describes the plant?$\dfrac{1...