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Control of systems of conservation laws with boundary errors
1.  LAASCNRS, University of Toulouse, 7, avenue du Colonel Roche, 31077 Toulouse, France 
[1] 
Xavier Litrico, Vincent Fromion, Gérard Scorletti. Robust feedforward boundary control of hyperbolic conservation laws. Networks & Heterogeneous Media, 2007, 2 (4) : 717731. doi: 10.3934/nhm.2007.2.717 
[2] 
Mapundi K. Banda, Michael Herty. Numerical discretization of stabilization problems with boundary controls for systems of hyperbolic conservation laws. Mathematical Control & Related Fields, 2013, 3 (2) : 121142. doi: 10.3934/mcrf.2013.3.121 
[3] 
JeanMichel Coron, Matthias Kawski, Zhiqiang Wang. Analysis of a conservation law modeling a highly reentrant manufacturing system. Discrete & Continuous Dynamical Systems  B, 2010, 14 (4) : 13371359. doi: 10.3934/dcdsb.2010.14.1337 
[4] 
Serge Nicaise. Control and stabilization of 2 × 2 hyperbolic systems on graphs. Mathematical Control & Related Fields, 2017, 7 (1) : 5372. doi: 10.3934/mcrf.2017004 
[5] 
Afaf Bouharguane. On the instability of a nonlocal conservation law. Discrete & Continuous Dynamical Systems  S, 2012, 5 (3) : 419426. doi: 10.3934/dcdss.2012.5.419 
[6] 
Xiaoyu Fu. Stabilization of hyperbolic equations with mixed boundary conditions. Mathematical Control & Related Fields, 2015, 5 (4) : 761780. doi: 10.3934/mcrf.2015.5.761 
[7] 
A. V. Fursikov. Stabilization for the 3D NavierStokes system by feedback boundary control. Discrete & Continuous Dynamical Systems  A, 2004, 10 (1&2) : 289314. doi: 10.3934/dcds.2004.10.289 
[8] 
Yanning Li, Edward Canepa, Christian Claudel. Efficient robust control of first order scalar conservation laws using semianalytical solutions. Discrete & Continuous Dynamical Systems  S, 2014, 7 (3) : 525542. doi: 10.3934/dcdss.2014.7.525 
[9] 
Stefano Bianchini. On the shift differentiability of the flow generated by a hyperbolic system of conservation laws. Discrete & Continuous Dynamical Systems  A, 2000, 6 (2) : 329350. doi: 10.3934/dcds.2000.6.329 
[10] 
Gilbert Peralta, Karl Kunisch. Interface stabilization of a parabolichyperbolic pde system with delay in the interaction. Discrete & Continuous Dynamical Systems  A, 2018, 38 (6) : 30553083. doi: 10.3934/dcds.2018133 
[11] 
Alberto Bressan, Khai T. Nguyen. Conservation law models for traffic flow on a network of roads. Networks & Heterogeneous Media, 2015, 10 (2) : 255293. doi: 10.3934/nhm.2015.10.255 
[12] 
Robert I. McLachlan, G. R. W. Quispel. Discrete gradient methods have an energy conservation law. Discrete & Continuous Dynamical Systems  A, 2014, 34 (3) : 10991104. doi: 10.3934/dcds.2014.34.1099 
[13] 
Julien Jimenez. Scalar conservation law with discontinuous flux in a bounded domain. Conference Publications, 2007, 2007 (Special) : 520530. doi: 10.3934/proc.2007.2007.520 
[14] 
Alberto Bressan, Graziano Guerra. Shiftdifferentiabilitiy of the flow generated by a conservation law. Discrete & Continuous Dynamical Systems  A, 1997, 3 (1) : 3558. doi: 10.3934/dcds.1997.3.35 
[15] 
Andrei Fursikov, Lyubov Shatina. Nonlocal stabilization by starting control of the normal equation generated by Helmholtz system. Discrete & Continuous Dynamical Systems  A, 2018, 38 (3) : 11871242. doi: 10.3934/dcds.2018050 
[16] 
Tong Yang, Fahuai Yi. Global existence and uniqueness for a hyperbolic system with free boundary. Discrete & Continuous Dynamical Systems  A, 2001, 7 (4) : 763780. doi: 10.3934/dcds.2001.7.763 
[17] 
K. T. Joseph, Philippe G. LeFloch. Boundary layers in weak solutions of hyperbolic conservation laws II. selfsimilar vanishing diffusion limits. Communications on Pure & Applied Analysis, 2002, 1 (1) : 5176. doi: 10.3934/cpaa.2002.1.51 
[18] 
T. Tachim Medjo, Louis Tcheugoue Tebou. Robust control problems in fluid flows. Discrete & Continuous Dynamical Systems  A, 2005, 12 (3) : 437463. doi: 10.3934/dcds.2005.12.437 
[19] 
Alicia Arjona, Jesús Ildefonso Díaz. Stabilization of a hyperbolic/elliptic system modelling the viscoelasticgravitational deformation in a multilayered Earth. Conference Publications, 2015, 2015 (special) : 6674. doi: 10.3934/proc.2015.0066 
[20] 
Valérie Dos Santos, Bernhard Maschke, Yann Le Gorrec. A Hamiltonian perspective to the stabilization of systems of two conservation laws. Networks & Heterogeneous Media, 2009, 4 (2) : 249266. doi: 10.3934/nhm.2009.4.249 
2016 Impact Factor: 1.2
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