Abstract:

This paper considers the problem of the robustness of boundary feedback controls for a von Karman plate with respect to a small parameter $\gamma$. This parameter enters the problem through a term representing rotational inertia for the plate and is assumed to be quite small (i.e. proportional to the plate's thickness). This paper proves that the exponential decay rates produced for the energy of the total system (with $\gamma \neq 0$) are preserved as we pass with a limit on $\gamma \rightarrow 0^+$.