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 stabilization of quasilinear hyperbolic systems of balance laws: exponential decay for small source terms

Journal of Evolution Equations ◽

10.1007/s00028-018-0449-z ◽

2018 ◽

Vol 18 (3) ◽

pp. 1471-1500 ◽

Author(s):

Martin Gugat ◽

Vincent Perrollaz ◽

Lionel Rosier

Keyword(s):

Exponential Decay ◽

Hyperbolic Systems ◽

Balance Laws ◽

Source Terms ◽

Boundary Stabilization ◽

Quasilinear Hyperbolic Systems ◽

Systems Of Balance Laws

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Input-to-State Stability of Non-uniform Linear Hyperbolic Systems of Balance Laws via Boundary Feedback Control

Applied Mathematics & Optimization ◽

10.1007/s00245-020-09726-8 ◽

2020 ◽

Author(s):

Gediyon Y. Weldegiyorgis ◽

Mapundi K. Banda

Keyword(s):

Feedback Control ◽

Hyperbolic Systems ◽

Balance Laws ◽

Boundary Feedback Control ◽

Boundary Feedback ◽

Systems Of Balance Laws

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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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Numerical boundary feedback stabilisation of non-uniform hyperbolic systems of balance laws

International Journal of Control ◽

10.1080/00207179.2018.1509133 ◽

2018 ◽

Vol 93 (6) ◽

pp. 1428-1441

Author(s):

Mapundi K. Banda ◽

Gediyon Y. Weldegiyorgis

Keyword(s):

Hyperbolic Systems ◽

Balance Laws ◽

Boundary Feedback ◽

Systems Of Balance Laws ◽

Feedback Stabilisation

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Global solutions with shock waves to the generalized Riemann problem for a class of quasilinear hyperbolic systems of balance laws

Nonlinear Analysis ◽

10.1016/j.na.2005.09.005 ◽

2006 ◽

Vol 64 (11) ◽

pp. 2575-2603 ◽

Author(s):

Zhi-Qiang Shao ◽

De-Xing Kong ◽

Ya-Chun Li

Keyword(s):

Shock Waves ◽

Riemann Problem ◽

Hyperbolic Systems ◽

Global Solutions ◽

Balance Laws ◽

Quasilinear Hyperbolic Systems ◽

Generalized Riemann Problem ◽

Systems Of Balance Laws

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Global Classical Solutions to the Mixed Initial-boundary Value Problem for a Class of Quasilinear Hyperbolic Systems of Balance Laws

Journal of Applied & Computational Mathematics ◽

10.4172/2168-9679.1000197 ◽

2015 ◽

Vol 04 (01) ◽

Author(s):

Zhi-Qiang Shao

Keyword(s):

Boundary Value Problem ◽

Hyperbolic Systems ◽

Initial Boundary ◽

Initial Boundary Value Problem ◽

Classical Solutions ◽

Balance Laws ◽

Quasilinear Hyperbolic Systems ◽

Global Classical Solutions ◽

Systems Of Balance Laws ◽

Initial Boundary Value

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Global solutions with shock waves to the generalized Riemann problem for a class of quasilinear hyperbolic systems of balance laws II

Mathematische Nachrichten ◽

10.1002/mana.200510646 ◽

2008 ◽

Vol 281 (6) ◽

pp. 879-902 ◽

Author(s):

Zhi-Qiang Shao

Keyword(s):

Shock Waves ◽

Riemann Problem ◽

Hyperbolic Systems ◽

Global Solutions ◽

Balance Laws ◽

Quasilinear Hyperbolic Systems ◽

Generalized Riemann Problem ◽

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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Convergence of Path-Conservative Numerical Schemes for Hyperbolic Systems of Balance Laws

Numerical Mathematics and Advanced Applications 2009 ◽

10.1007/978-3-642-11795-4_72 ◽

2010 ◽

pp. 675-682 ◽

Author(s):

M. L. Muñoz-Ruiz ◽

C. Parés ◽

M. J. Castro Díaz

Keyword(s):

Hyperbolic Systems ◽

Balance Laws ◽

Numerical Schemes ◽

Systems Of Balance Laws

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Local Exact One-Sided Boundary Null Controllability of Entropy Solutions to a Class of Hyperbolic Systems of Balance Laws

SIAM Journal on Control and Optimization ◽

10.1137/18m1187052 ◽

2019 ◽

Vol 57 (1) ◽

pp. 610-632

Author(s):

Tatsien Li ◽

Lei Yu

Keyword(s):

Hyperbolic Systems ◽

Null Controllability ◽

Entropy Solutions ◽

Balance Laws ◽

Systems Of Balance Laws

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