Pierre LISSY

logoljll PHOTO

Welcome to my webpage.

French version French Version




Preprints.



[4]    Optimal cost of fast boundary controls for the one-dimensional heat equation, preprint, arXiv:2608.08041, 2026.

[3]    Control and stabilization of cascade coupled systems: application to a 1-D heat and wave coupled system (with Lucas Davron and Swann Marx), submitted, 2026.

[2]    Effective multipliers for weights whose logs are Hölder continuous. Application to the cost of fast boundary controls for the 1D Schrödinger equation, submitted, 2025.

[1]    Controllability of a bent 3-link magnetic microswimmer (with Laetitia Giraldi, Clément Moreau and Jean-Baptiste Pomet), long-term preprint, 2016.

Book chapter.

[1]    The fictitious control method for the internal controllability of underactuated system of PDEs, 13th young researchers workshop on geometry, mechanics and control, Mathematical Texts of the University of Coimbra, Volume 48, pp. 87-118.

Journal publications.

[32]    Exact output tracking for the one-dimensional heat equation and applications to the interpolation problem in Gevrey classes of order 2 (with Lucas Davron), Discrete and Continuous Dynamical Systems - Series A, 58 (2027).

[31]    Theoretical and numerical study of the convergence of Luenberger observers for a linearized water wave model (with Lucas Perrin), SIAM Journal on Control and Optimization, accepted, 2026.

[30]    Hybrid range inclusions: a generalization of Douglas' theorem, with an application to control theory, Journal of Mathematical Analysis and Applications, 564 (2026), 130909.

[29]    Robust control of linear systems under small parameter variations (with Sylvain Ervedoza and Yannick Privat), Chinese Annals of Mathematics, Series B, to appear in the special issue in honor of Jean-Michel Coron's 70th birthday, 2026.

[28]    Null-controllability of underactuated linear parabolic-transport systems with constant coefficients (with Armand Koenig), Annales de l'Institut Fourier, Online first, 2026.

[27]    Null controllability of the 1D heat equation with interior inverse square potential (with Tanguy Lourme), Journal of Differential Equations, 463 (2026), 114221.

[26]    Controllability of a coupled wave system with a single control and different speeds (with Jingrui Niu), Journal de Mathématiques Pures et Appliquées, 205 (2026), 103808.

[25]    A non-controllability result for the half-heat equation on the whole line based on the prolate spheroidal wave functions and its application to the Grushin equation, Journal of Differential Equations, 433 (2025), 113306.

[24]    Rapid stabilization of a degenerate parabolic equation using a backstepping approach: the case of a boundary control acting at the degeneracy (with Claudia Moreno), Mathematical Control and Related Fields, 14 (2024), 1007-1032.

[23]    Necessary conditions for local controllability of a particular class of systems with two scalar controls (with Laetitia Giraldi, Clément Moreau and Jean-Baptiste Pomet), ESAIM: Control Optimisation and Calculus of Variations, 30 (2024), Article 4.

[22]    Insensitizing controls for the heat equation with respect to boundary variations (with Sylvain Ervedoza and Yannick Privat), Journal de l'École Polytechnique - Mathématiques, 9 (2022), 1397-1429.

[21]    State-constrained controllability of linear reaction-diffusion systems (with Clément Moreau), ESAIM: Control Optimisation and Calculus of Variations, 27 (2021), 70.

[20]    A Fredholm transformation for the rapid stabilization of a degenerate parabolic equation (with Ludovick Gagnon and Swann Marx), SIAM Journal on Control and Optimization, 59 (2021), 3828-3859.

[19]    Bilinear local controllability to the trajectories of the Fokker-Planck equation with a localized control (with Michel Duprez), Annales de l'Institut Fourier, 72 (2022), 1621-1659.

[18]    Optimal approximation of internal controls for a wave-type problem with fractional Laplacian using finite-difference method (with Ionel Roventa), Mathematical Models and Methods in Applied Sciences, 30 (2020), 439-475.

[17]    Insensitizing control for linear and semi-linear heat equations with partially unknown domain (with Yannick Privat and Yacouba Simporé), ESAIM: Control Optimisation and Calculus of Variations, 25 (2019), 50.

[16]    Internal controllability for parabolic systems involving analytic non-local terms (with Enrique Zuazua), Chinese Annals of Mathematics, Series B, 39 (2018), 1-14.

[15]    Addendum to ``Local Controllability of the Two-Link Magneto-Elastic Micro-Swimmer (with Laetitia Giraldi, Clément Moreau and Jean-Baptiste Pomet), IEEE Transactions on Automatic Control, 63 (2018), 2303-2305.

[14]    Internal observability for coupled systems of linear partial differential equations (with Enrique Zuazua), SIAM Journal on Control and Optimization, 57 (2019), 832-853.

[13]    Positive and negative results on the internal controllability of parabolic equations coupled by zero and first order terms (with Michel Duprez), Journal of Evolution Equations, 18 (2018), 659-680.

[12]    Optimal filtration for the approximation of boundary controls for the one-dimensional wave equation (with Ionel Roventa), Mathematics of Computation, 88 (2019), 273-291.

[11]    Non-localization of eigenfunctions for Sturm-Liouville operators (with Thibault Liard and Yannick Privat), Journal of Differential Equations, 264 (2018), 2449-2494.

[10]    A Kalman rank condition for the indirect controllability of coupled systems of linear operator groups (with Thibault Liard), Mathematics of Control, Signals, and Systems, 29 (2017), Article 9.

[9]    The cost of the control in the case of a minimal time of control: the example of the one-dimensional heat equation, Journal of Mathematical Analysis and Applications, 451 (2017), 497-507.

[8]    Construction of Gevrey functions with compact support using the Bray-Mandelbrojt iterative process and applications to the moment method in control theory, Mathematical Control and Related Fields, 7 (2017), 21-40.

[7]    Singular optimal control of a 1-D parabolic-hyperbolic degenerate equation (with Mamadou Gueye), ESAIM: Control Optimisation and Calculus of Variations, 22 (2016), 1184-1203.

[6]    Indirect controllability of some linear parabolic systems of m equations with m-1 controls involving coupling terms of zero or first order (with Michel Duprez), Journal de Mathématiques Pures et Appliquées, 106 (2016), 905-934.

[5]    Explicit lower bounds for the cost of fast controls for some 1-D parabolic or dispersive equations, and a new lower bound concerning the uniform controllability of the 1-D transport-diffusion equation, Journal of Differential Equations, 259 (2015), 5331-5352.

[4]    An application of a conjecture due to Ervedoza and Zuazua concerning the observability of the heat equation in small time to a conjecture due to Coron and Guerrero concerning the uniform controllability of a convection-diffusion equation in the vanishing viscosity limit, Systems and Control Letters, 69 (2014), 98-102.

[3]    On the cost of fast controls for some families of dispersive or parabolic equations in one space dimension, SIAM Journal on Control and Optimization, 52 (2014), 2651-2676.

[2]    Local null controllability of the three-dimensional Navier-Stokes system with a distributed control having two vanishing components (with Jean-Michel Coron), Inventiones Mathematicae, 198 (2014), 833-880.

[1]    A link between the cost of fast controls for the 1-D heat equation and the uniform controllability of a 1-D transport-diffusion equation, Comptes Rendus Mathématique, 350 (2012), 591-595.

Conference papers.

[1]    Traffic Flow Reconstruction from Limited Collected Data (with Nail Baloul, Amaury Hayat and Thibault Liard), Proceedings of the 64th IEEE Conference on Decision and Control (CDC), 2025, Rio, 7981-7986.

Last updated: September 1, 2026.