Consider the state-space description of an $\text{LTI}$ system with matrices
$\qquad A=\left[\begin{array}{cc}0 & 1 \\
-1 & -2\end{array}\right], B=\left[\begin{array}{l}0 \\
1\end{array}\right], C=\left[\begin{array}{ll}3 & -2\end{array}\right], D=1$
For the input, $\sin (\omega t), \omega>0, \text { the value of } \omega$ for which the steady-state output of the system will be zero, is ________(Round off to the nearest integer).