一个边界控制输运偏微分方程与n个反对流偏微分方程耦合的线性双曲系统的稳定性

2012 IEEE 51st IEEE Conference on Decision and Control (CDC) Pub Date : 2012-12-13 DOI:10.1109/CDC.2012.6426367

F. D. Meglio, R. Vázquez, M. Krstić

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引用次数: 10

摘要

我们提出了一个全状态反馈律来稳定有限空间域上具有n个正输运速度和一个负输运速度的线性一阶双曲系统。只有一个状态，对应于负速度，在右边界被激活。所提出的控制器保证了整个(n + 1)状态系统在l2意义上收敛于零。

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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Stabilization of a linear hyperbolic system with one boundary controlled transport PDE coupled with n counterconvecting PDEs

We propose a full-state feedback law to stabilize linear first-order hyperbolic systems featuring n positive and one negative transport speeds on a finite space domain. Only one state, corresponding to the negative velocity, is actuated at the right boundary. The proposed controller guarantees convergence of the whole (n + 1)-state system to zero in the L2-sense.

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2012 IEEE 51st IEEE Conference on Decision and Control (CDC)

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