Consider the state-space description of an LTI system with matrices A=\left[\begin{array}{cc}0 & 1 \ -1 & -2]\end{array}, B=\left[\begin{array}{c}0 \ 1]\end{array}, C=\left[\begin{array}{cc}3 & -2]\end{array}, D=1 For the input, sin(𝜔𝑡), 𝜔 > 0, the value of 𝜔 for which the steady-state output of the system will be zero, is ___________ (Round off to the nearest integer)

GATE Electrical Engineering (EE) 2023 Solved Paper

Question : 46 of 65

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Consider the state-space description of an LTI system with matrices

A={[\table 0 , 1 ; -1 , -2]}, B={[\table 0 ; 1]}, C={[\table 3 , -2]}, D=1

For the input, sin(𝜔𝑡), 𝜔 > 0, the value of 𝜔 for which the steady-state output of the system will be zero, is ___________ (Round off to the nearest integer)

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