E. Federico-bribiesca-argomedo, C. Witrant, and . Prieur, Safety factor profile control in a Tokamak, 2014.

Z. Artstein, Linear systems with delayed controls: a reduction, IEEE Transactions on Automatic Control, vol.27, issue.4, pp.869-879, 1982.

N. Bekiaris, -. , and M. Krstic, Robustness of nonlinear predictor feedback laws to time-and statedependent delay perturbations, Automatica, vol.49, issue.6, pp.1576-1590, 2013.

D. Bresch-pietri, C. Prieur, and E. Trélat, New formulation of predictors for finite-dimensional linear control systems with input delay, Systems & Control Letters, vol.113, pp.9-16, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01227332

H. Brezis, Functional analysis, Sobolev spaces and partial differential equations, 2010.

E. Cerpa, P. Guzmán, and A. Mercado, On the control of the linear Kuramoto-Sivashinsky equation. ESAIM: Control, Optimisation and Calculus of Variations, vol.23, pp.165-194, 2017.

J. Coron and E. Trélat, Global steadystate controllability of one-dimensional semilinear heat equations, SIAM Journal on Control and Optimization, vol.43, issue.2, pp.549-569, 2004.

J. Coron and E. Trélat, Global steadystate stabilization and controllability of 1D semilinear wave equations, Communications in Contemporary Mathematics, vol.8, issue.04, pp.535-567, 2006.
URL : https://hal.archives-ouvertes.fr/hal-00086370

F. Ruth, H. Curtain, and . Zwart, An Introduction to Infinite-Dimensional Linear Systems Theory, vol.21, 2012.

C. Delattre, D. Dochain, and J. Winkin, Sturm-Liouville systems are Riesz-spectral systems, International Journal of Applied Mathematics and Computer Science, vol.13, pp.481-484, 2003.

B. Gerald and . Folland, Real analysis: modern techniques and their applications, 2013.

E. Fridman and Y. Orlov, Exponential stability of linear distributed parameter systems with time-varying delays, Automatica, vol.45, issue.1, pp.194-201, 2009.

L. Guan, C. Prieur, L. Zhang, C. Prieur, D. Georges et al., Transport effect of COVID-19 pandemic in France. medRxiv, 2020.
URL : https://hal.archives-ouvertes.fr/hal-02906401

P. Guzmán, S. Marx, and E. Cerpa, Stabilization of the linear Kuramoto-Sivashinsky equation with a delayed boundary control, IFAC PapersOnLine, vol.52, issue.2, pp.70-75, 2019.

T. Hashimoto and M. Krstic, Stabilization of reaction diffusion equations with state delay using boundary control input, IEEE Transactions on Automatic Control, vol.61, issue.12, pp.4041-4047, 2016.

W. Kang and E. Fridman, Boundary control of delayed ODE-heat cascade under actuator saturation, Automatica, vol.83, pp.252-261, 2017.

W. Kang and E. Fridman, Boundary control of reaction-diffusion equation with state-delay in the presence of saturation * *This work was supported by Israel Science Foundation (grant No 1128/14)., IFAC-PapersOnLine, vol.50, issue.1, pp.12002-12007, 2017.

W. Kang and E. Fridman, Boundary constrained control of delayed nonlinear Schrödinger equation, IEEE Transactions on Automatic Control, vol.63, issue.11, pp.3873-3880, 2018.

I. Karafyllis and M. Krstic, Delay-robustness of linear predictor feedback without restriction on delay rate, Automatica, vol.49, issue.6, pp.1761-1767, 2013.

M. Krstic, Lyapunov tools for predictor feedbacks for delay systems: Inverse optimality and robustness to delay mismatch, Automatica, vol.44, issue.11, pp.2930-2935, 2008.

M. Krstic, Control of an unstable reaction-diffusion PDE with long input delay, Systems & Control Letters, vol.58, pp.773-782, 2009.

H. Lhachemi and C. Prieur, Feedback stabilization of a class of diagonal infinite-dimensional systems with delay boundary control, IEEE Transactions on Automatic Control, p.2021
URL : https://hal.archives-ouvertes.fr/hal-02368055

H. Lhachemi, C. Prieur, and R. Shorten, An LMI condition for the robustness of constant-delay linear predictor feedback with respect to uncertain time-varying input delays, Automatica, vol.109, p.108551, 2019.
URL : https://hal.archives-ouvertes.fr/hal-02368032

H. Lhachemi, C. Prieur, and E. Trélat, PI regulation of a reaction-diffusion equation with delayed boundary control, IEEE Transactions on Automatic Control, p.2021
URL : https://hal.archives-ouvertes.fr/hal-02294321

H. Lhachemi and R. Shorten, Boundary input-tostate stabilization of a damped Euler-Bernoulli beam in the presence of a state-delay, 2019.

H. Lhachemi and R. Shorten, Boundary feedback stabilization of a reaction-diffusion equation with Robin boundary conditions and state-delay, Automatica, vol.116, p.108931, 2020.

H. Lhachemi, R. Shorten, and C. Prieur, Control law realification for the feedback stabilization of a class of diagonal infinite-dimensional systems with delay boundary control, IEEE Control Systems Letters, vol.3, issue.4, pp.930-935, 2019.
URL : https://hal.archives-ouvertes.fr/hal-02368055

H. Lhachemi, R. Shorten, and C. Prieur, Exponential input-to-state stabilization of a class of diagonal boundary control systems with delay boundary control, Systems & Control Letters, vol.138, p.104651, 2020.
URL : https://hal.archives-ouvertes.fr/hal-02956446

B. Zhao-yan-li, Z. Zhou, and . Lin, On robustness of predictor feedback control of linear systems with input delays, Automatica, vol.50, issue.5, pp.1497-1506, 2014.

B. Mavkov, E. Witrant, and C. Prieur, Distributed control of coupled inhomogeneous diffusion in tokamak plasmas, IEEE Transactions on Control Systems Technology, vol.27, issue.1, pp.443-450, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01545010

S. Nicaise and C. Pignotti, Stabilization of the wave equation with boundary or internal distributed delay. Differential and Integral Equations, vol.21, pp.935-958, 2008.

S. Nicaise and J. Valein, Stabilization of the wave equation on 1-D networks with a delay term in the nodal feedbacks, Networks & Heterogeneous Media, vol.2, issue.3, pp.425-479, 2007.

S. Nicaise, J. Valein, and E. Fridman, Stability of the heat and of the wave equations with boundary timevarying delays, Discrete and Continuous Dynamical Systems, vol.2, issue.3, p.559, 2009.

C. Prieur and E. Trelat, Feedback Stabilization of a 1-D Linear Reaction?Diffusion Equation With Delay Boundary Control, IEEE Transactions on Automatic Control, vol.64, issue.4, pp.1415-1425, 2019.
URL : https://hal.archives-ouvertes.fr/hal-01583199

J. Qi, M. Krstic, and S. Wang, Stabilization of reaction-diffusions PDE with delayed distributed actuation, Systems & Control Letters, vol.133, p.104558, 2019.

M. Renardy, C. Robert, and . Rogers, An introduction to partial differential equations, vol.13, 2006.

L. David and . Russell, Controllability and stabilizability theory for linear partial differential equations: recent progress and open questions, SIAM Review, vol.20, issue.4, pp.639-739, 1978.

D. Schley and . Gourley, Linear stability criteria in a reaction-diffusion equation with spatially inhomogeneous delay, Dynamics and Stability of Systems, vol.14, issue.1, pp.71-91, 1999.

A. Selivanov and E. Fridman, Predictor-based networked control under uncertain transmission delays, Automatica, vol.70, pp.101-108, 2016.

Y. Smagina, O. Nekhamkina, and M. Sheintuch, Stabilization of fronts in a reaction-diffusion system: Application of the Gershgorin theorem, Industrial & engineering chemistry research, vol.41, issue.8, pp.2023-2032, 2002.

O. Solomon and E. Fridman, Stability and passivity analysis of semilinear diffusion PDEs with time-delays, International Journal of Control, vol.88, issue.1, pp.180-192, 2015.

Y. Wang, K. Xu, Y. Kang, H. Wang, F. Wang et al., Regional influenza prediction with sampling twitter data and pde model, International journal of environmental research and public health, vol.17, issue.3, p.678, 2020.