2023

Articles dans une revue

Constantinos Kitsos, Mathieu Bajodek, Lucie 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. ⟨10.1109/TAC.2022.3213625⟩. ⟨hal-03447113v3⟩

Pré-publications, documents de travail

Lucie Baudouin, Maya de Buhan, Emmanuelle Crépeau, Julie Valein. Carleman-Based Reconstruction Algorithm on a wave Network. 2023. ⟨hal-04361363⟩

2022

Articles dans une revue

Lucie Baudouin, Jérémi Dardé, Sylvain Ervedoza, Alberto Mercado. A unified strategy for observability of waves in an annulus with various boundary conditions. Mathematical Reports, 2022, 24 (1-2), pp.59-112. ⟨hal-03401646v2⟩

Florent Koudohode, Lucie Baudouin, Sophie Tarbouriech. Event-based control of a damped linear wave equation. Automatica, 2022, 146, pp.110627. ⟨10.1016/j.automatica.2022.110627⟩. ⟨hal-03273260⟩

Lucie Baudouin, Pamela Godoy, Alberto Mercado. Carleman estimates for the wave equation in heterogeneous media with non-convex interface. Journal of Differential Equations, 2022, 311, pp.1-28. ⟨10.1016/j.jde.2021.12.001⟩. ⟨hal-03211176⟩

Communications dans un congrès

Florent Koudohode, Lucie Baudouin, Sophie Tarbouriech. Event-based control of a damped linear Schrödinger equation. European Control Conference (ECC 2022), Jul 2022, Londres, United Kingdom. ⟨10.23919/ECC55457.2022.9837965⟩. ⟨hal-03421622v2⟩

Florent Koudohode, Lucie Baudouin, Sophie 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)., Sep 2022, Montreal, Canada. ⟨hal-03749743⟩

2021

Articles dans une revue

Lucie Baudouin, Maya de Buhan, Sylvain Ervedoza, Axel Osses. Carleman-based reconstruction algorithm for the waves. SIAM Journal on Numerical Analysis, 2021, 59 (2), pp.998-1039. ⟨10.1137/20M1315798⟩. ⟨hal-02458787⟩

Wen Kang, Lucie Baudouin, Emilia Fridman. Event-triggered control of Korteweg-de Vries equation under averaged measurements. Automatica, 2021, 123, pp.109315. ⟨10.1016/j.automatica.2020.109315⟩. ⟨hal-02459827v2⟩

Communications dans un congrès

Constantinos Kitsos, Mathieu Bajodek, Lucie Baudouin. Estimation of the potential in a 1D wave equation via exponential observers. 60th IEEE conference on Decision and Control (CDC 2021), Dec 2021, Austin, United States. ⟨10.1109/CDC45484.2021.9682871⟩. ⟨hal-03189107v2⟩

2019

Articles dans une revue

Lucie Baudouin, Aude Rondepierre, Simon Neild. Robust control of a cable from a hyperbolic partial differential equation model. IEEE Transactions on Control Systems Technology, 2019, 27 (3), pp.1343-1351. ⟨10.1109/TCST.2018.2797938⟩. ⟨hal-01096851v2⟩

Lucie Baudouin, Alexandre Seuret, Frédéric Gouaisbaut. Stability analysis of a system coupled to a heat equation.. Automatica, 2019, 99, pp.195-202. ⟨10.1016/j.automatica.2018.10.021⟩. ⟨hal-01566455v2⟩

Lucie Baudouin, Emmanuelle Crépeau, Julie Valein. Two approaches for the stabilization of nonlinear KdV equation with boundary time-delay feedback. IEEE Transactions on Automatic Control, 2019, 64 (4), pp.1403-1414. ⟨10.1109/TAC.2018.2849564⟩. ⟨hal-01643321⟩

Communications dans un congrès

Lucie Baudouin, Swann Marx, Sophie Tarbouriech. Event-triggered damping stabilization of a linear wave equation. 3rd IFAC Workshop on Control of Systems Governed by Partial Differential Equations CPDE 2019, May 2019, Oaxaca, Mexico. pp.58-63. ⟨hal-01968409⟩

Autres documents

Dimitri Peaucelle, Marie-José Huguet, Yannick Pencolé, Christian Artigues, Emmanuel Hébrard, et al.. Bilan et prospectives 2019 du département Décision & Optimisation du LAAS-CNRS. Rapport LAAS n° 19270. 2019. ⟨hal-02295816⟩

2018

Articles dans une revue

Matthieu Barreau, Alexandre Seuret, Frédéric Gouaisbaut, Lucie Baudouin. Lyapunov stability analysis of a string equation coupled with an ordinary differential system. IEEE Transactions on Automatic Control, 2018, 63 (11), pp.3850 - 3857. ⟨10.1109/TAC.2018.2802495⟩. ⟨hal-01548256v4⟩

Communications dans un congrès

Mohammed Safi, Lucie Baudouin, Alexandre Seuret. New model transformations for the stability analysis of time-delay systems. IFAC Workshop on Time-Delay Systems (TDS'18), Jun 2018, Budapest, Hungary. 6p. ⟨hal-01799394⟩

Mohammed Safi, Alexandre Seuret, Lucie Baudouin. Lyapunov stability analysis of a system coupled to a hyperbolic PDE with potential. European Control Conference (ECC 2018), Jun 2018, Limassol, Cyprus. ⟨hal-01799391⟩

2017

Articles dans une revue

Mohammed Safi, Lucie Baudouin, Alexandre Seuret. Tractable sufficient stability conditions for a system coupling linear transport and differential equations. Systems and Control Letters, 2017, 110, pp.1-8. ⟨10.1016/j.sysconle.2017.09.003⟩. ⟨hal-01354073v2⟩

Lucie Baudouin, Maya de Buhan, Sylvain Ervedoza. Convergent algorithm based on Carleman estimates for the recovery of a potential in the wave equation.. SIAM Journal on Numerical Analysis, 2017, 55 (4), pp.1578-1613. ⟨hal-01352772⟩

Communications dans un congrès

Lucie Baudouin, Alexandre Seuret, Frédéric Gouaisbaut, Marianne Dattas. Lyapunov stability analysis of a linear system coupled to a heat equation. IFAC World Congress, Jul 2017, Toulouse, France. 6p. ⟨hal-01496115v2⟩

Mohammed Safi, Lucie Baudouin, Alexandre Seuret. Refined exponential stability analysis of a coupled system. IFAC World Congress, Jul 2017, Toulouse, France. ⟨hal-01496136⟩

Pré-publications, documents de travail

Catherine Tessier, Fabienne Viallet, Arthur Mary, Bertrand Tondu, Lucie Baudouin, et al.. Formation Doctorale "Éthique de la recherche et intégrité scientifique" : Formation proposée par l'école des docteurs de Toulouse. Doctorat. "Éthique de la recherche et Intégrité scientifique", Toulouse, France. 2017, pp.56. ⟨cel-01452867v4⟩

2016

Communications dans un congrès

Lucie Baudouin, Alexandre Seuret, Mohammed Safi. Stability analysis of a system coupled to a transport equation using integral inequalities. 2nd IFAC Workshop on Control of Systems Governed by Partial Differential Equations (CPDE), Jun 2016, Bertinoro, Italy. ⟨hal-01310306⟩

Rapports

Alexandre Seuret, Frédéric Gouaisbaut, Lucie Baudouin. D1.1 -Overview of Lyapunov methods for time-delay systems. [Research Report] Rapport LAAS n°16308, LAAS-CNRS. 2016. ⟨hal-01369516⟩

2015

Articles dans une revue

Lucie Baudouin, Masahiro Yamamoto. Inverse problem on a tree-shaped network: Unified approach for uniqueness. Applicable Analysis, 2015, 94 (11), pp. 2370-2395. ⟨hal-01081783⟩

Lucie Baudouin, Sylvain Ervedoza, Axel Osses. Stability of an inverse problem for the discrete wave equation and convergence results. Journal de Mathématiques Pures et Appliquées, 2015, 103 (6), pp.1475. ⟨10.1016/j.matpur.2014.11.006⟩. ⟨hal-00874565v2⟩

2014

Articles dans une revue

Lucie Baudouin, Eduardo Cerpa, Emmanuelle Crépeau, Alberto Mercado. On the determination of the principal coefficient from boundary measurements in a KdV equation. Journal of Inverse and Ill-posed Problems, 2014, 22 (6), pp.819-845. ⟨hal-00765919v2⟩

Thèse de doctorat, Habilitation à diriger des recherches

Lucie Baudouin. Problèmes inverses et commande robuste de quelques équations aux dérivées partielles. Mathématiques [math]. Université Paul Sabatier - Toulouse III, 2014. ⟨tel-01067485⟩