Exact boundary controllability for a coupled system of wave equations with Neumann boundary controls

Abstract

This paper first shows the exact boundary controllability for a coupled system of wave equations with Neumann boundary controls. In order to establish the corresponding observability inequality, the authors introduce a compact perturbation method which does not depend on the Riesz basis property, but depends only on the continuity of projection with respect to a weaker norm, which is obviously true in many cases of application. Next, in the case of fewer Neumann boundary controls, the non-exact boundary controllability for the initial data with the same level of energy is shown.

Keywords

Compactness-uniqueness perturbation / Boundary observability / Exact boundary controllability / Non-exact boundary controllability / Coupled system of wave equations / Neumann boundary condition

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