Uniform controllability for Kirchhoff and Mindlin-Timoshenko elastic systems

Abstract

The Mindlin-Timoshenko operator is a perturbation of the Kirchhoff operator and it is well known that there exist solutions to the exact controllability problem for their associated systems. This article shows that the solution of the controlled problem of the Mindlin-Timoshenko system converges to that of Kirchhoff; that is, we show uniform controllability.

Keywords

• Exact controllability
• elastic plates
• hyperbolic operators.