Pierre LISSY

logoljll PHOTO

Welcome on my webpage.

English version French Version




Preprints.



[18]    Insensitizing control for linear and semi-linear heat equations with partially unknown domain (with Yannick Privat et Yacouba Simporé), submitted.

[17]    Addendum to ``Local Controllability of the Two-Link Magneto-Elastic Micro-Swimmer, (with Laetitia Giraldi, Clément Moreau et Jean-Baptiste Pomet), to appear in IEEE: TAC.

[16]    Internal observability for coupled systems of linear partial differential equations (with Enrique Zuazua), submitted.

[15]    Controllability of a bent 3-link magnetic microswimmer (with Laetitia Giraldi, Clément Moreau et Jean-Baptiste Pomet), preprint.

[14]    Positive and negative results on the internal controllability of parabolic equations coupled by zero and first order terms (with Michel Duprez), to appear in Journal of Evolution Equations.

[13]    Optimal Filtration for the approximation of boundary controls for the one-dimensional wave equation (with Ionel Roventa), to appear in Mathematics of Computation.



Journal papers.





[12]    Internal controllability for parabolic systems involving analytic non-local terms (with Enrique Zuazua), Chinese Annals of Mathematics (special issue in honor of Philippe Ciarlet), 39B(1), 2018, 1-14.

[11]    Non-localization of eigenfunctions for Sturm-Liouville operators (with Thibault Liard and Yannick Privat), Journal of Differential Equations, Volume 264, Issue 4, 15 February 2018, Pages 2449-2494.

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

[9]    The cost of the control in the case of a minimal time of control: the example of the one-dimensional heat equation, J. Math. Anal. Appl. , Volume 451, Issue 1, 1 July 2017, Pages 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, Volume 7, Issue 1, March 2017, pp. 21-40. [7]    Singular Optimal Control of a 1-D Parabolic-Hyperbolic Degenerate Equation, (with Mamadou Gueye), ESAIM: COCV Volume 22, Number 4, October-December 2016 Special Issue in honor of Jean-Michel Coron for his 60th birthday, 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, Journal de Mathématiques Pures et Appliquées 106 (2016), pp. 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, Volume 259, Issue 10 (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 J. Control Optim., 52(4), 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, Volume 198, Issue 3, pp 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. C. R. Math. Acad. Sci. Paris 350 (2012), no. 11-12, 591-595.