G. S. Adimurthi and V. Gowda, Exact controllability of scalar conservation laws with strictly convex flux, Math. Control Relat. Fields, vol.4, pp.401-449, 2014.

F. Ancona and G. M. Coclite, On the attainable set for Temple class systems with boundary controls, SIAM J. Control Optim, vol.43, issue.6, pp.2166-2190, 2005.

F. Ancona and A. Marson, On the attainable set for scalar nonlinear conservation laws with boundary control, SIAM J. Control Optim, vol.36, issue.1, pp.290-312, 1998.

F. Ancona and A. Marson, Asymptotic stabilization of systems of conservation laws by controls acting at a single boundary point, Control methods in PDE-dynamical systems, vol.426, p.143, 2007.

K. Ammar, P. Wittbold, and J. Carillo, Scalar conservation laws with general boundary conditions and continuous flux function, J. Differential Equations, vol.228, pp.111-139, 2006.

B. Andreianov, C. Donadello, S. S. Ghoshal, and U. Razafison, On the attainable set for a class of triangular systems of conservation laws, J. Evol. Equ, vol.15, issue.3, pp.503-532, 2015.
URL : https://hal.archives-ouvertes.fr/hal-00967600

B. Andreianov, C. Donadello, and A. Marson, On the attainable set for a scalar nonconvex conservation law, SIAM J. Control Optim, vol.55, issue.4, pp.2235-2270, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01346993

C. Bardos, A. Leroux, and J. Nédélec, First order quasilinear equations with boundary conditions, Comm. in Partial Differential Equations, pp.1017-1034, 1979.

G. Bastin and C. , Stability and boundary stabilization of 1-D hyperbolic systems, p.88, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01449504

S. Blandin, X. Litrico, M. L. Dalle-monache, B. Piccoli, and T. Bayen, Regularity and Lyapunov stabilization of weak entropy solutions to scalar conservation laws, IEEE Transactions on Automatic Control, vol.62, issue.4, pp.1620-1635, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01267722

A. Bressan, Hyperbolic Systems of Conservation Laws. The One-Dimensional Cauchy Problem, 2000.

A. Bressan and G. M. Coclite, On the boundary control of systems of conservation laws, SIAM J. Control Optim, vol.41, issue.2, pp.607-622, 2002.

M. Chapouly, Global controllability of non-viscous and viscous Burgers type equations, SIAM J. Control Optim, vol.48, issue.3, pp.1567-1599, 2009.

M. Corghi and A. Marson, On the attainable set for scalar balance laws with distributed control, ESAIM COCV, vol.22, pp.236-266, 2016.

J. Coron, On the null asymptotic stabilization of the two-dimensional incompressible Euler equations in a simply connected domain, SIAM J. Control Optim, vol.37, issue.6, pp.1874-1896, 1999.

J. Coron, Control and nonlinearity. Mathematical Surveys and Monographs, vol.136, 2007.

J. Coron, G. Bastin, and B. Andréa-novel, Dissipative boundary conditions for one dimensional nonlinear hyperbolic systems, SIAM J. Control Optim, vol.47, issue.3, pp.1460-1498, 2008.
URL : https://hal.archives-ouvertes.fr/hal-00923596

J. Coron, S. Ervedoza, S. S. Ghoshal, O. Glass, and V. Perrollaz, Dissipative boundary conditions for 2x2 hyperbolic systems of conservation laws for entropy solutions in BV, Journal of Differential Equations, vol.262, pp.1-30, 2017.

C. M. Dafermos, Hyperbolic conservation laws in continuum physics, vol.325, 2005.

C. M. Dafermos, Generalized characteristics and the structure of solutions of hyperbolic conservation laws, Indiana Math. J, vol.26, pp.1097-1119, 1977.

O. Glass, On the controllability of the 1-D isentropic Euler equation, J. European Math. Soc, vol.9, issue.3, pp.427-486, 2007.
URL : https://hal.archives-ouvertes.fr/hal-00813700

O. Glass, On the controllability of the non-isentropic 1-D Euler equation, Journal of Differential Equations, vol.257, pp.638-719, 2014.
URL : https://hal.archives-ouvertes.fr/hal-00813700

O. Glass and S. Guerrero, On the uniform controllability of the Burgers equation, SIAM J. Control Optim, vol.46, issue.4, pp.1211-1238
URL : https://hal.archives-ouvertes.fr/hal-00660830

T. Horsin, On the controllability of the Burger equation, ESAIM COCV, vol.3, pp.83-95, 1998.

M. Léautaud, Uniform controllability of scalar conservation laws in the vanishing viscosity limit, SIAM J. Control Optim, vol.50, pp.1661-1699, 2012.

A. Y. Leroux, Etude duprobì eme mixte pour une quation quasi-linéaire du premier ordre, pp.351-354, 1977.

T. Li, Controllability and observability for quasilinear hyperbolic systems, AIMS Series on Applied Mathematics, vol.3

T. Li and L. Yu, One sided exact null controllability of entropy solutions to a class of hyperbolic systems of conservation laws, Journal de Mathématiques Pures et Appliquées, vol.107, issue.1, pp.1-10, 2017.

S. N. Kruzkov, First order quasilinear equations with several independent variables, Mat. Sb. (N.S.), vol.81, issue.123, pp.228-255, 1970.

J. Malek, J. Necas, M. Rokyta, and M. Ruzicka, Weak and measure-valued solutions to evolutionary PDEs, 1996.

F. Otto, Initial-boundary value problem for a scalar conservation law, C. R. Acad. Sci. Paris Sér. I Math, vol.322, issue.8, pp.729-734, 1996.

V. Perrollaz, Exact controllability of scalar conservation laws with an additional control in the context of entropy solutions, SIAM J. Control Optim, vol.50, issue.4, pp.2025-2045
URL : https://hal.archives-ouvertes.fr/hal-01108950

V. Perrollaz, Asymptotic stabilization of entropy solutions to scalar conservation laws through a stationary feedback law, Annales de l'Institut Henri Poincaré (C), Non Linear Analysis, vol.30, pp.879-915, 2013.

V. Perrollaz, Asymptotic stabilization of stationnary shock waves using boundary feedback law
URL : https://hal.archives-ouvertes.fr/hal-01685858

A. Vasseur, Strong traces for solutions to multidimensional scalar conservation laws, Arch. Ration. Mech. Anal, vol.170, issue.3, pp.181-193, 2001.