Relaxed exact controllability and asymptotic limit for thin shells

Abstract

This paper deals with a singular perturbation problem related to the relaxed exact controllability of a thin shell and its membrane approximation. We point out the subspaces in which we can construct control functions and which allow us to look at the asymptotic limit. Since the problem depends on the geometry of the shell and the selected boundary control action, specific results for elastic hemispherical shells are given.