The Case for Differential Geometry in the Control of Single and Coupled PDEs: The Structural Acoustic Chamber
The Case for Differential Geometry in the Control of Single and Coupled PDEs: The Structural Acoustic Chamber
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DOI：
10.1007/978-1-4684-9375-7_5
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发表时间：
2004
期刊：
影响因子：
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通讯作者：
R. Gulliver;W. Littman;I. Lasiecka;R. Triggiani
中科院分区：
文献类型：
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作者：
R. Gulliver;W. Littman;I. Lasiecka;R. Triggiani
根据IMA夏季程序的标题-反问题中的几何方法和偏微分方程组控制-本文的目的可以概括如下：我们打算提供一个相对最新的综述，关于某些一般类型的单偏微分方程组和耦合偏微分方程组(维度严格大于1)的精确边界可控性和一致边界镇定的结果，这些结果是近年来通过基于微分(黎曼)几何方法的新方法获得的。
In line with the title of the IMA Summer Program—Geometric Methods in Inverse Problems and PDE Control—the aim of the present article may be summarized as follows: we intend to provide a relatively updated survey (subject to space limitations) of results onexact boundary controllabilityanduniform boundary stabilizationof certain general classes of single Partial Differential Equations as well as of classes of systems of coupled PDEs (in dimension strictly greater than one), that have become available in recent yearsthrough novel approaches based on differential (Riemannian) geometric methods.