Adaptive boundary stabilization for first-order hyperbolic PDEs with unknown spatially varying parameter

Zaihua Xu; Yungang Liu

doi:10.1002/rnc.3331

Adaptive boundary stabilization for first-order hyperbolic PDEs with unknown spatially varying parameter

International Journal of Robust and Nonlinear Control ◽

10.1002/rnc.3331 ◽

2015 ◽

Vol 26 (3) ◽

pp. 613-628 ◽

Cited By ~ 30

Author(s):

Zaihua Xu ◽

Yungang Liu

Keyword(s):

Boundary Stabilization ◽

Hyperbolic Pdes ◽

First Order ◽

Spatially Varying

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Backstepping boundary control for first-order hyperbolic PDEs with unknown spatially varying parameter

Proceedings of the 33rd Chinese Control Conference ◽

10.1109/chicc.2014.6897052 ◽

2014 ◽

Author(s):

Zaihua Xu ◽

Yungang Liu ◽

Li Jian

Keyword(s):

Boundary Control ◽

Hyperbolic Pdes ◽

First Order ◽

Spatially Varying

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Hybrid boundary stabilization of linear first-order hyperbolic PDEs despite almost quantized measurements and control input

Systems & Control Letters ◽

10.1016/j.sysconle.2020.104809 ◽

2020 ◽

Vol 146 ◽

pp. 104809

Author(s):

Nikolaos Bekiaris-Liberis

Keyword(s):

Control Input ◽

Boundary Stabilization ◽

Hyperbolic Pdes ◽

First Order ◽

And Control

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Boundary stabilization of coupled wave system with spatially-varying coefficients and internal anti-damping

2020 39th Chinese Control Conference (CCC) ◽

10.23919/ccc50068.2020.9188546 ◽

2020 ◽

Author(s):

Xiaodan Feng ◽

Zhifei Zhang

Keyword(s):

Wave System ◽

Boundary Stabilization ◽

Varying Coefficients ◽

Spatially Varying ◽

Coupled Wave

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Chapter 9: First-Order Hyperbolic PDEs and Delay Equations

Boundary Control of PDEs ◽

10.1137/1.9780898718607.ch9 ◽

2008 ◽

pp. 109-114

Keyword(s):

Delay Equations ◽

Hyperbolic Pdes ◽

First Order

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Backstepping Boundary Control for First-Order Hyperbolic PDEs on Inverted Pendulum Stabilization with Constant Input Delay

10.1109/upcon52273.2021.9667567 ◽

2021 ◽

Author(s):

Arnab Pal ◽

Ramashis Banerjee ◽

Debottam Mukherjee ◽

Samrat Chakraborty ◽

Pabitra Kumar Guchhait ◽

...

Keyword(s):

Boundary Control ◽

Inverted Pendulum ◽

Input Delay ◽

Constant Input ◽

Hyperbolic Pdes ◽

First Order

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Design of a decoupling controller structure for first order hyperbolic PDEs with distributed control action

Proceedings of the 2010 American Control Conference ◽

10.1109/acc.2010.5530561 ◽

2010 ◽

Cited By ~ 7

Author(s):

Franz J Winkler ◽

Boris Lohmann

Keyword(s):

Distributed Control ◽

Control Action ◽

Hyperbolic Pdes ◽

First Order

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Adaptive energy-based bilinear control of first-order 1-D hyperbolic PDEs: Application to a one-loop parabolic solar collector trough

Journal of the Franklin Institute ◽

10.1016/j.jfranklin.2017.12.003 ◽

2018 ◽

Vol 355 (2) ◽

pp. 827-848 ◽

Cited By ~ 2

Author(s):

Sarah Mechhoud ◽

Taous-Meriem Laleg-Kirati

Keyword(s):

Solar Collector ◽

Hyperbolic Pdes ◽

Bilinear Control ◽

First Order

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Stability and Freezing of Nonlinear Waves in First Order Hyperbolic PDEs

Journal of Dynamics and Differential Equations ◽

10.1007/s10884-012-9241-x ◽

2012 ◽

Vol 24 (2) ◽

pp. 341-367 ◽

Cited By ~ 9

Author(s):

Jens Rottmann-Matthes

Keyword(s):

Nonlinear Waves ◽

Hyperbolic Pdes ◽

First Order

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Linear Stability of Traveling Waves in First-Order Hyperbolic PDEs

Journal of Dynamics and Differential Equations ◽

10.1007/s10884-011-9216-3 ◽

2011 ◽

Vol 23 (2) ◽

pp. 365-393 ◽

Cited By ~ 8

Author(s):

Jens Rottmann-Matthes

Keyword(s):

Linear Stability ◽

Traveling Waves ◽

Hyperbolic Pdes ◽

First Order

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Dynamic Boundary Stabilization of First Order Hyperbolic Systems

Recent Results on Time-Delay Systems - Advances in Delays and Dynamics ◽

10.1007/978-3-319-26369-4_9 ◽

2016 ◽

pp. 169-190

Author(s):

Felipe Castillo ◽

Emmanuel Witrant ◽

Christophe Prieur ◽

Luc Dugard

Keyword(s):

Hyperbolic Systems ◽

Boundary Stabilization ◽

First Order ◽

Dynamic Boundary

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