Boundary control with integral action for hyperbolic systems of conservation laws: Stability and experiments

10.1016/j.automatica.2007.09.022 ◽

2008 ◽

Vol 44 (5) ◽

pp. 1310-1318 ◽

Author(s):

V. Dos Santos ◽

G. Bastin ◽

J.-M. Coron ◽

B. d’Andréa-Novel

Keyword(s):

Conservation Laws ◽

Boundary Control ◽

Hyperbolic Systems ◽

Integral Action ◽

Systems Of Conservation Laws

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A Strict Lyapunov Function for Boundary Control of Hyperbolic Systems of Conservation Laws

IEEE Transactions on Automatic Control ◽

10.1109/tac.2006.887903 ◽

2007 ◽

Vol 52 (1) ◽

pp. 2-11 ◽

Author(s):

J.-M. Coron ◽

B. d'Andrea-Novel ◽

G. Bastin

Keyword(s):

Lyapunov Function ◽

Conservation Laws ◽

Boundary Control ◽

Hyperbolic Systems ◽

Systems Of Conservation Laws

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Receding Optimal Boundary Control of Non-linear Hyperbolic Systems of Conservation Laws

IFAC Proceedings Volumes ◽

10.3182/20110828-6-it-1002.01027 ◽

2011 ◽

Vol 44 (1) ◽

pp. 8601-8606

Author(s):

Thang V. Pham ◽

Didier Georges ◽

Gildas Besançon

Keyword(s):

Conservation Laws ◽

Boundary Control ◽

Hyperbolic Systems ◽

Optimal Boundary ◽

Optimal Boundary Control ◽

Systems Of Conservation Laws

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A strict Lyapunov function for boundary control of hyperbolic systems of conservation laws

2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601) ◽

10.1109/cdc.2004.1428994 ◽

2004 ◽

Author(s):

J.-M. Coron ◽

B. d'Andrea-Novel ◽

G. Bastin

Keyword(s):

Lyapunov Function ◽

Conservation Laws ◽

Boundary Control ◽

Hyperbolic Systems ◽

Systems Of Conservation Laws

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Boundary control for exact cancellation of boundary disturbances in hyperbolic systems of conservation laws

Proceedings of the 44th IEEE Conference on Decision and Control ◽

10.1109/cdc.2005.1582302 ◽

2006 ◽

Author(s):

G. Bastin ◽

J.-M. Coron ◽

B. d'Andrea-Novel ◽

L. Moens

Keyword(s):

Conservation Laws ◽

Boundary Control ◽

Hyperbolic Systems ◽

Systems Of Conservation Laws ◽

Exact Cancellation

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On the uniqueness of solutions to hyperbolic systems of conservation laws

Journal of Differential Equations ◽

10.1016/j.jde.2021.04.034 ◽

2021 ◽

Vol 291 ◽

pp. 110-153

Author(s):

Shyam Sundar Ghoshal ◽

Animesh Jana ◽

Konstantinos Koumatos

Keyword(s):

Conservation Laws ◽

Hyperbolic Systems ◽

Uniqueness Of Solutions ◽

Systems Of Conservation Laws

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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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Upwind finite volume solution of sensitivity equations for hyperbolic systems of conservation laws with discontinuous solutions

Computers & Fluids ◽

10.1016/j.compfluid.2009.03.002 ◽

2009 ◽

Vol 38 (9) ◽

pp. 1697-1709 ◽

Author(s):

V. Guinot

Keyword(s):

Conservation Laws ◽

Finite Volume ◽

Hyperbolic Systems ◽

Discontinuous Solutions ◽

Sensitivity Equations ◽

Systems Of Conservation Laws

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An Easy Control of the Artificial Numerical Viscosity to Get Discrete Entropy Inequalities When Approximating Hyperbolic Systems of Conservation Laws

Continuum Mechanics, Applied Mathematics and Scientific Computing: Godunov's Legacy ◽

10.1007/978-3-030-38870-6_5 ◽

2020 ◽

pp. 29-36

Author(s):

Christophe Berthon ◽

Arnaud Duran ◽

Khaled Saleh

Keyword(s):

Conservation Laws ◽

Hyperbolic Systems ◽

Numerical Viscosity ◽

Systems Of Conservation Laws ◽

Entropy Inequalities

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Global solutions of hyperbolic systems of conservation laws in two dependent variables

Bulletin of the American Mathematical Society ◽

10.1090/s0002-9904-1968-12082-8 ◽

1968 ◽

Vol 74 (5) ◽

pp. 915-919 ◽

Author(s):

J. L. Johnson ◽

J. A. Smoller

Keyword(s):

Conservation Laws ◽

Hyperbolic Systems ◽

Global Solutions ◽

Dependent Variables ◽

Systems Of Conservation Laws

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Krylov--Riemann Solver for Large Hyperbolic Systems of Conservation Laws

SIAM Journal on Scientific Computing ◽

10.1137/110840832 ◽

2012 ◽

Vol 34 (4) ◽

pp. A2072-A2091 ◽

Author(s):

Manuel Torrilhon

Keyword(s):

Conservation Laws ◽

Hyperbolic Systems ◽

Riemann Solver ◽

Systems Of Conservation Laws

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