Publications


Soumis

C. Kitsos, M. Bajodek & L. Baudouin - Joint Coefficient and Solution Estimation for the 1D Wave Equation : An Observer-based Solution to Inverse Problems, 2021. /hal-03447113

F. Koudohode, L. Baudouin & S. Tarbouriech - Event-triggering mechanism to damp the linear wave equation, 2021. /hal-03273260


2022

L. Baudouin, J. Dardé, S. Ervedoza & A. Mercado - A unified strategy for observability of waves in an annulus with various boundary conditions, to be published in Mathematical Reports, Vol. 24 (74), No. 1-2 (2022). /hal-03401646

L. Baudouin, P. Godoy & A. Mercado - Carleman estimates for the wave equation in heterogeneous media with non-convex interface, J. of Differential Equations, 311 (2022), pp 1-28. /hal-03211176

--

F. Koudohode, L. Baudouin & S. Tarbouriech - Event-based control of a damped linear Schrödinger equation, Soumis à la European Control Conference, London, UK (ECC 2022). /hal-03421622


2021

W. Kang, L. Baudouin & E. Fridman - Event-triggered control of Korteweg-de Vries equation under averaged measurements, Automatica, 123 (2021), 109315. /hal-02459827

L. Baudouin, M. de Buhan, S. Ervedoza & A. Osses - Carleman-based reconstruction algorithm for the waves, SIAM Journal on Numerical Analysis, 59 (2021), no. 2, 998-1039. /hal-02458787

--

C. Kitsos, M. Bajodek & L. Baudouin - Estimation of the potential in a 1D wave equation via exponential observers, 60th IEEE Conference on Decision and Control, Austin, United States (CDC 2021). /hal-03189107


2019

L. Baudouin, A. Seuret & F. Gouaisbaut - Stability analysis of a system coupled to a heat equation, Automatica, 99 (2019), 195-202. /hal-01566455

L. Baudouin, E. Crépeau & J. Valein - Two approaches for the stabilization of the nonlinear KdV equation with boundary time-delay feedback, IEEE Journal on Transactions on Automatic Control, 64 (2019) n 4, 1403-1414. /hal-01643321

L. Baudouin, A. Rondepierre & S. Neild Robust control of a cable using a partial differential equation model, IEEE Journal on Transactions on Control Systems Technology, 27 (2019) n 3, 1343-1351. /hal-01096851

--

L. Baudouin, S. Marx & S. Tarbouriech - Event-triggered damping of a linear wave equation, IFAC Workshop on control of systems governed by PDEs, Oaxaca, Mexico (CPDE-CDPS 2019). /hal-01968409


2018

M. Barreau, A. Seuret, F. Gouaisbaut & L. Baudouin - Lyapunov stability analysis of a string equation coupled with an ordinary differential system, IEEE Journal on Transactions on Automatic Control, 63 (2018) n 11, 3850-3857. /hal-01548256

--

M. Safi, L. Baudouin & A. Seuret - New Model Transformations for the Stability Analysis of Time-Delay Systems, 14th IFAC Workshop on Time Delay Systems, Budapest, Hungary (TDS 2018). /hal-01799394

M. Safi, A. Seuret, & L. Baudouin - Lyapunov stability analysis of a system coupled to a hyperbolic PDE with potential, European Control Conference, Limasol, Cyprus (ECC 2018). /hal-01799391


2017

M. Safi, L. Baudouin & A. Seuret - Tractable su cient stability conditions for a system coupling linear transport and di erential equations, Systems and Control Letters, Vol 110 (2017), pp 1-8.

L. Baudouin, M. de Buhan & S. Ervedoza - Convergent algorithm based on Carleman estimates for the recovery of a potential in the wave equation, SIAM Journal on Numerical Analysis, 55 (2017), no. 4, 1578-1613. /hal-01352772

--

M. Safi, L. Baudouin & A. Seuret - Refined exponential stability analysis of a coupled system, IFAC world congress 2017, Toulouse. /hal-01496136

L. Baudouin, A. Seuret, F. Gouaibaut & M. Dattas - Lyapunov stability analysis of a linear system coupled to a heat equation, IFAC world congress 2017, Toulouse. /hal-01496115


2016

L. Baudouin, M. Safi & A. Seuret - Stability analysis of a system coupled to a transport equation using integral inequalities, IFAC Workshop on control of systems governed by PDEs, Bertinoro, Italy (CPDE 2016). /hal-01310306


2015

L. Baudouin & M. Yamamoto - Inverse problem on a tree-shaped network : unified approach for uniqueness, Applicable Analysis, 94 (2015), no. 11, 2370-2395. /hal-01081783

L. Baudouin, S. Ervedoza & A. Osses - Stability of an inverse problem for the discrete wave equation and convergence results, Journal de Math ematiques Pures & Appliquées (9) 103 (2015), no.6, 1475-1522. /hal-00874565


2013

L. Baudouin, E. Cerpa, E. Crépeau & A. Mercado - On the determination of the principal coefficient from boundary measurements in a KdV equation, Journal of Inverse and Ill-posed problems, 22, (2013) n 6, 819-845. /hal-00765919

L. Baudouin, M. de Buhan & S. Ervedoza - Global Carleman estimates for waves and applications, Communications in Partial Differential Equation, Vol. 38, no. 5, (2013) pp. 823-859. /hal-00633562

L. Baudouin & S. Ervedoza - Convergence of an inverse problem for discrete wave equations, SIAM Journal Control and Optimization 51-1 (2013), pp. 556-598. /hal-00602335

L. Baudouin, E. Cerpa, E. Crépeau & A. Mercado - Lipschitz stability in an inverse problem for the Kuramoto-Sivashinsky equation, Applicable Analysis, Vol. 92, no. 10 (2013) pp. 2084-2102.
/hal-00510506

--

L. Baudouin, S. Neild, A. Rondepierre & D. Wagg - Robust measurement feedback control of an inclined cable, IFAC Workshop on control of systems governed by PDEs, Paris, France (CPDE 2013). /hal-00784727

L. Baudouin, S. Neild & D.Wagg - H-infinity control with state feedback of an inclined cable, European Control Conference 2013, Zurich, Suisse (ECC 2013). /hal-00822702


2012

B. Robu, L. Baudouin & C. Prieur - Active vibration control of a uid/plate system using a pole placement controller, International Journal of Control, Vol 85, no.6 (2012) pp. 684-694. /hal-00584586

B. Robu, L. Baudouin, C. Prieur & D. Arzelier - Simultaneous H-infinity vibration control of fluid/plate system via reduced-order controller, IEEE Journal on Transactions on Control Systems Technology, Vol 20, no.3 (2012) pp. 700-711. /hal-00584343

B. Robu, L. Baudouin & C. Prieur - Contrôle actif des vibrations dans un système couplé fluide/structure, Journal Européen des Systèmes Automatisés, Vol 45, no.7-10 (2012) pp. 495-511. /hal-00584310


2011

L. Baudouin, E. Cr epeau & J. Valein - Global Carleman estimate on a network for the wave equation and application to an inverse problem, Math. Control and Related Fields, Vol 1, no.3 (2011) pp. 307-330. /hal-00576296

L. Baudouin, J. Salomon & G. Turinici - Analysis of the Toolkit method for the time dependent Schrödinger equation, J. of Scientific Computing, Vol 49, no.2 (2011) pp. 111-136. /hal-00403798


2010

B. Robu, V. Pommier-Budinger, L. Baudouin, C. Prieur & D. Arzelier - Simultaneous H-infinity vibration control of uid/plate system via reduced-order controller, IEEE Conference on Decision and Control, Atlanta, United States (CDC 2010). /hal-00556927


2009

B. Robu, L. Baudouin & C. Prieur - A controlled distributed parameter model for a fluid-flexible structure system : numerical simulations and experiment validations, IEEE Conference on Decision and Control (CDC 2009).


2008

L. Baudouin & A. Mercado - An inverse problem for Schrödinger equations with discontinuous main coefficient, Applicable Analysis 87, no. 10-11 (2008) pp. 1145-1165. /hal-00271954

L. Baudouin, C. Prieur, F. Guignard & D. Arzelier - Robust control of a bimorph mirror for adaptive optics system, Applied Optics. 47 (2008), no. 20, pp. 3637-3645. /hal-00271968

L. Baudouin & J. Salomon - Constructive solutions of a bilinear control problem for a Schrödinger equation, Systems and Control Le ers, 57 (2008), no. 6, pp. 453-464. /hal-00271940

--

L. Baudouin, C. Prieur, F. Guignard & D. Arzelier - Control of adaptive optics system : an H-infinity approach, IFAC world congress 2008, Seoul.


2007

L. Baudouin, A. Mercado & A. Osses - A global Carleman estimate in a transmission wave equation and application to a one-measurement inverse problem, Inverse Problems, 23, no. 1 (2007) pp. 257-278. /hal-00271925


2006

L. Baudouin - A bilinear optimal control problem applied to a time dependent Hartree-Fock equation coupled with classical nuclear dynamics, Portugaliae Matematica (N.S.), 63, no. 3 (2006) pp. 293-325. /hal-00145716

--

L. Baudouin, C. Prieur & D. Arzelier - Robust control of a bimorph mirror for adaptive optics system, International Symposium on Mathematical eory of Networks and Systems (MTNS 2006).

L. Baudouin & J. Salomon - Constructive solutions of a bilinear control problem, C. R. Math. Acad. Sci. Paris, 342 (2006), no. 2, pp. 119-124.


2005

L. Baudouin - Existence and regularity of the solution of a time dependent Hartree-Fock equation coupled with a classical nuclear dynamics, Revista Matemàtica Complutense, 18 (2005), no. 2, pp. 285-314. /hal-00145715

L. Baudouin, O. Kavian & J.-P. Puel - Regularity for a Schrödinger equation with singular potentials and application to bilinear optimal control, Journal of Differential Equations, 216 (2005), no.1, pp. 188-222. /hal-00145710


2002

L. Baudouin & J.-P. Puel - Uniqueness and stability in an inverse problem for the Schrödinger equation, Inverse Problems, 18 (2002), pp. 1537-1554. /hal-00143868

--

L. Baudouin & J.-P. Puel - Détermination de potentiel dans une équation de Schrödinger à partir de mesures sur une partie du bord, C. R. Math. Acad. Sci. Paris 334 (2002), pp. 967-972.