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Recent questions tagged lineartimeinvariantsystem
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GATE2020EE10
Consider a linear timeinvariant system whose input $\text{r(t)}$ and output $\text{y(t)}$ are related by the following differential equation: $\frac{d^{2}y\left ( t \right )}{dt^{2}}+4y\left ( t \right )=6r\left ( t \right )$ The poles of this system are at $+2j,2j$ $+2,2$ $+4,4$ $+4j,4j$
asked
Feb 28
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jothee
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1.4k
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gate2020ee
lineartimeinvariantsystem
signalsandsystems
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2
GATE2014333
A continuoustime $LTI$ system with system function $H(w)$ has the following polezero plot. For this system, which of the alternatives is $TRUE$? $\mid H(0)\mid > \mid H(w)\mid ;\mid w\mid > 0$ $\mid H(w) \mid$ has multiple maxima, at $w_1$ and $w_2$ $\mid H(0)\mid < \mid H(w)\mid ;\mid w\mid > 0$ $\mid H(w)\mid =$ constant; $\infty < w< \infty$
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Feb 12, 2017
in
Signals and Systems
by
makhdoom ghaya
(
9.3k
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gate2014ee3
polezeroplot
lineartimeinvariantsystem
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GATE201429
Consider an LTI system with transfer function $H(s)=\frac{1}{s(s+4)}$ If the input to the system is $ \cos(3t)$ and the steady state output is $A \sin(3t+\alpha )$ , then the value of $A$ is $1/30$ $1/15$ $3/4$ $4/3$
asked
Feb 12, 2017
in
Control Systems
by
makhdoom ghaya
(
9.3k
points)
gate2014ee2
lineartimeinvariantsystem
transferfunction
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0
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4
GATE2016249
Consider a linear time invariant system $\dot{x}=Ax$ with initial condition $x(0)$ at $t=0$. Suppose $\alpha$ and $\beta$ are eigenvectors of $(2 \times 2)$ matrix $A$ corresponding to distinct eigenvalues $\lambda_{1}$ and $\lambda_{2}$ respectively. Then the response $x(t)$ ... $e^{\lambda_{2}t}\beta$ $e^{\lambda_{2}t}\alpha$ $e^{\lambda_{1}t}\alpha+e^{\lambda_{2}t}\beta$
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Jan 30, 2017
in
Linear Algebra
by
makhdoom ghaya
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9.3k
points)
gate2016ee2
lineartimeinvariantsystem
eigenvalues
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