Uniform Observability for a Finite Differences Discretization of a Clamped Beam Equation

The aim of this paper is to prove a uniform observability inequality for a finite differences semi-discretization of a clamped beam equation. A discrete multiplier method is employed in order to obtain the uniform observability of the eigenvectors of the matrix driving the semi-discrete system corresponding to eigenfrequencies smaller than a precise filtering Lltreshold. This result can be generalized to tlie uniform observability of every filtered solution. Numerical simulations, concerning the dual controllability problem, illustrate the theoretical results. (C) 2016, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.