Boundary feedback stabilization of quasilinear hyperbolic systems with partially dissipative structure

Systems & Control Letters ◽

10.1016/j.sysconle.2020.104815 ◽

2020 ◽

Vol 146 ◽

pp. 104815

Author(s):

Ke Wang ◽

Zhiqiang Wang ◽

Wancong Yao

Keyword(s):

Dissipative Structure ◽

Hyperbolic Systems ◽

Feedback Stabilization ◽

Quasilinear Hyperbolic Systems ◽

Boundary Feedback

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Local Proportional-Integral Boundary Feedback Stabilization for Quasilinear Hyperbolic Systems of Balance Laws

SIAM Journal on Control and Optimization ◽

10.1137/18m1214883 ◽

2020 ◽

Vol 58 (4) ◽

pp. 2143-2170

Author(s):

Liguo Zhang ◽

Christophe Prieur ◽

Junfei Qiao

Keyword(s):

Hyperbolic Systems ◽

Feedback Stabilization ◽

Balance Laws ◽

Integral Boundary ◽

Quasilinear Hyperbolic Systems ◽

Proportional Integral ◽

Boundary Feedback ◽

Systems Of Balance Laws

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Boundary Feedback Control of 2x2 Quasilinear Hyperbolic Systems: Predictive Synthesis and Robustness Analysis

IEEE Transactions on Automatic Control ◽

10.1109/tac.2021.3083564 ◽

2021 ◽

pp. 1-1

Author(s):

Timm Strecker ◽

Ole Morten Aamo ◽

Michael Cantoni

Keyword(s):

Feedback Control ◽

Hyperbolic Systems ◽

Robustness Analysis ◽

Boundary Feedback Control ◽

Quasilinear Hyperbolic Systems ◽

Boundary Feedback

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Feedback stabilization of quasilinear hyperbolic systems with varying delays

2012 17th International Conference on Methods & Models in Automation & Robotics (MMAR) ◽

10.1109/mmar.2012.6347931 ◽

2012 ◽

Author(s):

Markus Dick ◽

Martin Gugat ◽

Gunter Leugering

Keyword(s):

Hyperbolic Systems ◽

Feedback Stabilization ◽

Quasilinear Hyperbolic Systems

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On boundary feedback stabilization of non-uniform linear hyperbolic systems over a bounded interval

Systems & Control Letters ◽

10.1016/j.sysconle.2011.07.008 ◽

2011 ◽

Vol 60 (11) ◽

pp. 900-906 ◽

Author(s):

Georges Bastin ◽

Jean-Michel Coron

Keyword(s):

Hyperbolic Systems ◽

Feedback Stabilization ◽

Bounded Interval ◽

Boundary Feedback

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Mechanism of singularity formation for quasilinear hyperbolic systems with linearly degenerate characteristic fields

Journal of Differential Equations ◽

10.1016/j.jde.2011.07.005 ◽

2011 ◽

Vol 251 (8) ◽

pp. 2066-2081 ◽

Author(s):

Peng Qu

Keyword(s):

Hyperbolic Systems ◽

Singularity Formation ◽

Quasilinear Hyperbolic Systems ◽

Linearly Degenerate

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Global boundary feedback stabilization for a class of pseudo-parabolic partial differential equations

2013 American Control Conference ◽

10.1109/acc.2013.6580715 ◽

2013 ◽

Author(s):

Agus Hasan ◽

Ole Morten Aamo ◽

Bjarne Foss

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Feedback Stabilization ◽

Parabolic Partial Differential Equations ◽

Partial Differential ◽

Boundary Feedback

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A stochastic Galerkin method for first-order quasilinear hyperbolic systems with uncertainty

Journal of Computational Physics ◽

10.1016/j.jcp.2017.05.027 ◽

2017 ◽

Vol 345 ◽

pp. 224-244 ◽

Author(s):

Kailiang Wu ◽

Huazhong Tang ◽

Dongbin Xiu

Keyword(s):

Galerkin Method ◽

Hyperbolic Systems ◽

Quasilinear Hyperbolic Systems ◽

First Order ◽

Stochastic Galerkin Method ◽

Stochastic Galerkin

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Boundary Feedback Stabilization of Naghdi’s Model

Acta Mathematica Sinica English Series ◽

10.1007/s10114-004-0408-1 ◽

2004 ◽

Vol 21 (1) ◽

pp. 169-184 ◽

Author(s):

Shu Gen Chai

Keyword(s):

Feedback Stabilization ◽

Boundary Feedback

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Transport equations of higher order discontinuities for quasilinear hyperbolic systems

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/bf00944572 ◽

1991 ◽

Vol 42 (6) ◽

pp. 960-965

Author(s):

M. M. Hassan ◽

M. F. El-Sabbagh

Keyword(s):

Hyperbolic Systems ◽

Higher Order ◽

Transport Equations ◽

Quasilinear Hyperbolic Systems

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Variational Formulation of the Problem of Finding Generalized Solutions for Quasilinear Hyperbolic Systems of Conservation Laws

Mathematical Notes ◽

10.1134/s0001434621110365 ◽

2021 ◽

Vol 110 (5-6) ◽

pp. 972-975

Author(s):

Yu. G. Rykov

Keyword(s):

Conservation Laws ◽

Variational Formulation ◽

Hyperbolic Systems ◽

Generalized Solutions ◽

Quasilinear Hyperbolic Systems ◽

Systems Of Conservation Laws

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