Pierre LISSY

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Preprints.



[17]   Optimal approximation of internal controls for a wave-type problem with fractional Laplacian using finite-difference method, method (with Ionel Roventa), submitted.

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

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

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

Journal papers.





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

[14]    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, June 2018, Volume 18, Issue 2, pp 659-680.

[13]    Addendum to ``Local Controllability of the Two-Link Magneto-Elastic Micro-Swimmer, (with Laetitia Giraldi, Clément Moreau et Jean-Baptiste Pomet), IEEE Transactions on Automatic Control, July 2018, Volume 63, Issue 7, pp 2303-2305.

[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.