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.
Submitted August 2, 2016. Published September 22, 2016.
Math Subject Classifications: 93B05, 93B27, 93C20, 35G16.
Key Words: Exact controllability; Euler-Bernoulli plate; variable coefficients; Riemannian geometry; multiplier method.
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| Fengyan Yang |
Key Laboratory of Systems and Control
Institute of Systems Science
Academy of Mathematics and Systems Science
Chinese Academy of Sciences
Beijing 100190, China
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