Fengyan Yang
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.
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 email: yangfengyan12@mails.ucas.ac.cn |
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