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