J. Auriol and F. Di-meglio, Minimum time control of heterodirectional linear coupled hyperbolic pdes, Automatica, vol.71, pp.300-307, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01477700

A. Baccoli, A. Pisano, and Y. Orlov, Boundary control of coupled reactiondiffusion processes with constant parameters, Automatica, vol.54, pp.80-90, 2015.

S. P. Bhat and D. S. Bernstein, Finite time stability of continuous autonomous systems, SIAM J. Control Optim, vol.38, issue.3, pp.751-766, 2000.

D. Colton, The solution of initial-boundary value problems for parabolic equations by the method of integral operators, Journal of Differential Equations, vol.26, issue.2, pp.181-190, 1977.

J. Coron, L. Hu, and G. Olive, Finite-time boundary stabilization of general linear hyperbolic balance laws via fredholm backstepping transformation, Automatica, vol.84, pp.95-100, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01437107

J. Coron and H. Nguyen, Null controllability and finite time stabilization for the heat equations with variable coefficients in space in one dimension via backstepping approach. Archive for Rational Mechanics and Analysis, vol.225, pp.993-1023, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01228895

J. Coron and L. Praly, Adding an integrator for the stabilization problem, Systems & Control Letters, vol.17, issue.2, pp.89-104, 1991.

J. Coron, R. Vazquez, M. Krstic, and G. Bastin, Local exponential H 2 stabilization of a 2 × 2 quasilinear hyperbolic system using backstepping, SIAM Journal on Control and Optimization, vol.51, issue.3, pp.2005-2035, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00726867

J. Deutscher and S. Kerschbaum, Backstepping control of coupled linear parabolic PIDEs with spatially-varying coefficients, IEEE Transactions on Automatic Control, issue.99, pp.1-1, 2018.

V. A. Galaktionov and J. Vasquez, Necessary and sufficient conditions for complete blow-up and extinction for one-dimensional quasilinear heat equation, Archive for Rational Mechanics and Analysis, vol.129, issue.3, pp.225-244, 1995.

V. T. Haimo, Finite time controllers, SIAM Journal of Control and Optimization, vol.24, issue.4, pp.760-770, 1986.

F. Lopez-ramirez, A. Polyakov, D. Efimov, and W. Perruquetti, Finite-time and fixed-time observer design: Implicit lyapunov function approach, Automatica, vol.87, pp.52-60, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01622356

T. Meurer, Some perspectives in PDE control, Proc. 20th IFAC World Congress, Toulouse (F), 2017.

T. Meurer and M. Krstic, Finite-time multi-agent deployment: A nonlinear PDE motion planning approach, Automatica, vol.47, issue.11, pp.2534-2542, 2011.

T. Meurer and A. Kugi, Tracking control for boundary controlled parabolic PDEs with varying parameters: Combining backstepping and differential flatness, Automatica, vol.45, issue.5, pp.1182-1194, 2009.

Y. Orlov, A. Pisano, A. Pilloni, and E. Usai, Output feedback stabilization of coupled reaction-diffusion processes with constant parameters, SIAM Journal on Control and Optimization, vol.55, issue.6, pp.4112-4155, 2017.

V. Perrollaz and L. Rosier, Finite-time stabilization of 2×2 hyperbolic systems on tree-shaped networks, SIAM Journal on Control and Optimization, vol.52, issue.1, pp.143-163, 2014.
URL : https://hal.archives-ouvertes.fr/hal-00793728

A. Polyakov, J. Coron, and L. Rosier, On boundary finite-time feedback control for heat equation, 20th IFAC World Congress, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01505482

A. Polyakov, J. Coron, and L. Rosier, On Homogeneous FiniteTime Control For Evaluation Equation in Hilbert Space, IEEE Transactions on Automatic Control, pp.1-1, 2017.

A. Polyakov, D. Efimov, and W. Perruquetti, Finite-time and Fixedtime Stabilization: Implicit Lyapunov Function Approach, vol.51, pp.332-340, 2015.
DOI : 10.1016/j.automatica.2014.10.082
URL : https://hal.archives-ouvertes.fr/hal-01098099

A. Smyshlyaev and M. Krstic, Closed-form boundary state feedbacks for a class of 1-d partial integro-differential equations, IEEE Transactions on Automatic Control, vol.49, issue.12, pp.2185-2202, 2004.

A. Smyshlyaev and M. Krstic, On control design for pdes with space-dependent diffusivity or time-dependent reactivity, Automatica, vol.41, issue.9, pp.1601-1608, 2005.

Y. Song, Y. Wang, J. Holloway, and M. Krstic, Timevarying feedback for regulation of normal-form nonlinear systems in prescribed finite time, Automatica, vol.83, pp.243-251, 2017.

G. Szego, Orthogonal polynomials, American Mathematical Society, vol.23, 1975.

R. Vazquez and M. Krstic, Boundary control of coupled reactionadvection-diffusion systems with spatially-varying coefficients, IEEE Transactions on Automatic Control, vol.62, issue.4, pp.2026-2033, 2017.

R. Vazquez, E. Trlat, and J. Coron, Control for fast and stable laminar-to-high-reynolds-numbers transfer in a 2D Navier-Stokes channel flow, Discrete & Continuous Dynamical Systems-B, vol.10, issue.4, pp.925-956, 2008.
URL : https://hal.archives-ouvertes.fr/hal-00131057