Publications
Soumis
L. Baudouin, A. Imba, A. Mercado & A. Osses - Lipschitz Stability of an Inverse Problem of Transmission Waves with Variable Jumps (2024). /hal-04688851
L. Baudouin, M. de Buhan,E. Crépeau & J. Valein - Carleman-Based Reconstruction Algorithm on a wave Network (2023). /hal-04361363
2023
C. Kitsos, M. Bajodek & L. Baudouin - Joint Coefficient and Solution Estimation for the 1D Wave Equation : An Observer-based Solution to Inverse Problems, IEEE Transactions on Automatic Control, 2023, 68 (8), pp.4827 - 4840 (2023). /hal-03447113
2022
F. Koudohode, L. Baudouin & S. Tarbouriech - Event-triggering mechanism to damp the linear wave equation, Automatica, 146 (2022), 110627. /hal-03273260
L. Baudouin, J. Dardé, S. Ervedoza & A. Mercado - A unified strategy for observability of waves in an annulus with various boundary conditions, 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, European Control Conference, London, UK (ECC 2022). /hal-03421622
F. Koudohode, L. Baudouin & S. Tarbouriech - Dynamic event-triggered stabilization for the Schrödinger equation, Joint 8th IFAC Symp. on System Structure and Control, 17th IFAC Workshop on Time Delay Systems, 5th IFAC Workshop on Linear Parameter Varying Systems, Montreal, Canada (September 2022). /hal-03672349
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 sufficient stability conditions for a system coupling linear transport and differential equations, Systems and Control Letters, Vol 110 (2017), pp 1-8. /hal-01354073
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 Mathématiques 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.