Exact controllability of the Euler-Bernoulli plate with variable coefficients and simply supported boundary condition

Abstract

This article studies the exact controllability of an Euler-Bernoulli plate equation with variable coefficients, subject to the simply supported boundary condition. By the Riemannian geometry approach, the duality method, the multiplier technique, and the compactness-uniqueness argument, we establish the corresponding observability inequality and obtain the exact controllability results.

Keywords

• Exact controllability
• Euler-Bernoulli plate
• variable coefficients
• Riemannian geometry
• multiplier method