Stabilization of a System of $n+1$ Coupled First-Order Hyperbolic Linear PDEs With a Single Boundary Input

Di Meglio F.; Vazquez R.; Krstic M.

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Stabilization of a System of $n+1$ Coupled First-Order Hyperbolic Linear PDEs With a Single Boundary Input

机译：具有单个边界输入的$ n + 1 $耦合一阶双曲线性PDE系统的稳定性

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摘要

We solve the problem of stabilization of a class of linear first-order hyperbolic systems featuring n rightward convecting transport PDEs and one leftward convecting transport PDE. We design a controller, which requires a single control input applied on the leftward convecting PDE's right boundary, and an observer, which employs a single sensor on the same PDE's left boundary. We prove exponential stability of the origin of the resulting plant-observer-controller system in the spatial ${cal L}^{2}$-sense.

机译：我们解决了一类线性n阶双曲系统的稳定问题，该系统具有n个对流输运PDE和一个对流输运PDE。我们设计了一个控制器，该控制器要求在对流的PDE的右边界上施加单个控制输入，而观察者则在同一PDE的左边界上使用单个传感器。我们证明了空间$ {cal L} ^ {2} $感官中所得植物－观察者－控制器系统起源的指数稳定性。

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《IEEE Transactions on Automatic Control》 |2013年第12期|3097-3111|共15页
作者
Di Meglio F.; Vazquez R.; Krstic M.;
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Department of Mechanical and Aerospace Engineering, University of California San Diego, La Jolla, CA, USA|c|;

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正文语种 eng
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关键词
Control design; distributed parameters systems; observers;

机译：控制设计;分布式参数系统;观察者;

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1. Adaptive stabilization of n+1 coupled linear hyperbolic systems with uncertain boundary parameters using boundary sensing [J] . Anfinsen Henrik, Aamo Ole Morten Systems and Control Letters . 2017,第期

机译：利用边界传感，不确定边界参数的N + 1耦合线性双曲线系统的自适应稳定
2. ADAPTIVE OUTPUT FEEDBACK STABILIZATION OF n plus m COUPLED LINEAR HYPERBOLIC PDEs WITH UNCERTAIN BOUNDARY CONDITIONS [J] . Anfinsen Henrik, Aamo Ole Morten SIAM Journal on Control and Optimization . 2017,第6期

机译：具有不确定边界条件的N Plus M耦合线性双曲线PDE的自适应输出反馈稳定
3. Stabilization of coupled linear heterodirectional hyperbolic PDE-ODE systems [J] . Di Meglio Florent, Argomedo Federico Bribiesca, Hu Long, Automatica . 2018,第期

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4. Stabilization of a linear hyperbolic system with one boundary controlled transport PDE coupled with n counterconvecting PDEs [C] . Di Meglio Florent IEEE Conference on Decision and Control;CDC . 2012

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5. Frequency Domain System Identification of Linear Time-Invariant Single-Input Single-Output 2-Dimensional Systems and Multi-Input Multi-Output 1-Dimensional Systems by Utilizing AFD Type Algorithms [D] . Wang, Xiaoyin. 2020

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6. A Class of Nonlocal Coupled Semilinear Parabolic System with Nonlocal Boundaries [O] . Hong Liu, Haihua Lu -1

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7. Stabilization of coupled linear heterodirectional hyperbolic PDE–ODE systems [O] . Meglio, Florent,, Bribiesca Argomedo, Federico, Hu, Long, 2018

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8. Boundary Value Problems and Free Boundary Problems for Quasilinear Hyperbolic-Parabolic Coupled Systems [R] . Li, T., Yu, W., Shen, W. 1981

机译：拟线性双曲抛物型耦合系统的边值问题和自由边界问题

Stabilization of a System of $n+1$ Coupled First-Order Hyperbolic Linear PDEs With a Single Boundary Input

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