二维波动方程的动态边界控制:一般域上的振动膜

1988 American Control Conference Pub Date : 1988-06-15 DOI:10.23919/ACC.1988.4790110

Y. You, E. Lee

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引用次数: 5

摘要

具有边缘质量和一般形状的振动膜边界的动态控制被数学表述为一个抽象的演化系统。基于LaSalle不变性原理和全局Holmgren唯一性定理，建立了线性边界阻尼反馈的近似可控性和强镇定性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Dynamical Boundary Control of Two-Dimensional Wave Equations: Vibrating Membrane on General Domain

Dynamical control from the boundary of a vibrating membrane with edge mass and of general shape is mathematically formulated as an abstract evolutionary-system. The approximate controllability and the strong stabilization via linear boundary damping feedback are established by an approach based on LaSalle's invariance principle and global Holmgren uniqueness theorem.

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1988 American Control Conference

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