用合适的边界反馈算子求解Euler-Bernoulli方程的均匀指数能量衰减

Proceedings of the 27th IEEE Conference on Decision and Control Pub Date : 1988-12-07 DOI:10.1109/CDC.1988.194524

R. Triggiani

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引用次数: 1

摘要

给出了欧拉-伯努利方程一致镇定的几个新结果的证明。结果与最近建立的精确可控性和最优正则性理论完全一致。弯矩型条件取代了诺伊曼边界条件。作者给出了只有边界控制是有效的情况下的结果。正如预期的那样，需要域上的几何条件。

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Uniform exponential energy decay of Euler-Bernoulli equations by suitable boundary feedback operators

The author sketches the proof of a few novel results on uniform stabilization of Euler-Bernoulli equations. The results are fully consistent with recently established exact controllability and optimal regularity theories. A bending moment type of condition replaces the Neumann boundary condition. The author presents results for the case in which only the boundary control is active. As expected, geometrical conditions on the domain are needed.<>

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Proceedings of the 27th IEEE Conference on Decision and Control

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