Ludovic Sacchelli

Mobirise

Presentation

I am an Inria researcher (CR) working with McTAO team at Centre Inria d'Université Côte d'Azur and Laboratoire J.A. Dieudonné of Université Côte d'Azur.

My topics of interest lie in control theory, sub-Riemannian geometry and their interactions.

These include analysis in sub-Riemannian manifolds, optimal control, observers and other estimation problems. Interactions with mathematical neuroscience.

ludovic.sacchelli at inria.fr

+33 (0)4 92 38 79 16

Bureau B220, Bâtiment Borel
Equipe McTAO
INRIA Sophia Antipolis Méditerranée
Route des Lucioles 2004
B.P. 93, 06902 Sophia Antipolis cedex, France

Bureau 814
Laboratoire Jean Alexandre Dieudonné
Université de Nice
Parc Valrose
06108 Nice, Cedex 02, France

Research activities

Journal articles

Exponential stabilizability and observability at the target imply semiglobal exponential stabilizability by templated output feedback. With V. Andrieu, L. Brivadis, J.-P. Gauthier, U. Serres. Systems & Control Letters, 2025, 195, pp.105971.
Localized bounds on log-derivatives of the heat kernel on incomplete Riemannian manifolds. With R.W. Neel. Accepted for publication in Annales de l'Institut Henri Poincaré, Probabilités et Statistiques. 2024.
Output Feedback Stabilization of Polynomial State-Affine Control Systems Using Control Templates. With L. Brivadis, U. Serres, I. Ben Yaacov. IEEE Control Systems Letters, vol. 8, pp. 1084-1089, 2024.
Output feedback stabilization of non-uniformly observable systems. With L. Brivadis, J.P. Gauthier. Proceedings of the Steklov Institute of Mathematics, 2023, 321 (1), pp.69-83.
New inversion methods for the single/multi-shape CLD-to-PSD problem with spheroid particles. With L. Brivadis. Journal of Process Control, Volume 109, 2022, Pages 1-12. ▹ Matlab code.
New perspectives on output feedback stabilization at an unobservable target. With L. Brivadis, J.P. Gauthier, U. Serres. ESAIM: COCV, 27 (2021) 102.
Avoiding observability singularities in output feedback bilinear systems. With L. Brivadis, J.P. Gauthier, U. Serres. SIAM Journal on Control and Optimization, 59 (2021), no. 3, 1759–1780.
A bio-inspired geometric model for sound reconstruction. With U. Boscain, D. Prandi, G. Turco. The Journal of Mathematical Neuroscience, 11(1):2, 2021. ▹ Julia code and Jupyter notebook.
Dynamic output stabilization of control systems: an unobservable kinematic drone model. With A. Ajami, J.P. Gauthier. Automatica, 125:109383, 2021.
From local to global asymptotic stabilizability for weakly contractive control systems. With L. Brivadis, V. Andrieu, U. Serres, J.P. Gauthier. Automatica, 124:109308, 2021.
A bisector line field approach to interpolation of orientation fields. With N. Boizot. Journal of Mathematical Imaging and Vision, 63(7):1-12, 2021. ▹ Matlab code.
Short Geodesics Losing Optimality in Contact Sub-Riemannian Manifolds and Stability of the 5-Dimensional Caustic. SIAM Journal on Control and Optimization, 57 (2019), no. 4, 2362-2391. ▹ Mathematica computations notebook.
On the Whitney extension property for continuously differentiable horizontal curves in sub-Riemannian manifolds. With M. Sigalotti. Calculus of Variations and PDEs, (2018) 57: 59.
Generic singularities of line fields on 2D manifolds. With U. Boscain, M. Sigalotti. Differential Geometry and its Applications, 49 (December 2016), pp. 326-350.

Preprints

Not all sub-Riemannian minimizing geodesics are smooth. With A. Socionovo, Y. Chitour, F. Jean, R. Monti, L. Rifford, M. Sigalotti. Preprint 2025.
Activity estimation via distributed measurements in an orientation sensitive neural fields model of the visual cortex. With A.M. Annabi, J.-B. Pomet, D. Prandi. Preprint 2024.
Uniform, localized asymptotics for sub-Riemannnian heat kernels and diffusions. With R.W. Neel. Preprint 2020.

International conference proceedings

State estimation in alcoholic fermentation models: a case-study in wine-making conditions. With M. Fleurial, A. Yabo. 2024 European Control Conference (ECC), Stockholm, Sweden, 2024, pp. 412-417
Output feedback stabilization of non-uniformly observable systems by means of a switched Kalman-like observer. With L. Brivadis. IFAC World Congress 2023. IFAC-PapersOnLine, 56 (2), 9517-9522. ▹ Matlab code.
Approximate observability and back and forth observer of a PDE model of crystallisation process. With L. Brivadis. 2021 60th IEEE Conference on Decision and Control (CDC), 2021, pp. 4436-4441
A switching technique for output feedback stabilization at an unobservable target. With L. Brivadis. 2021 60th IEEE Conference on Decision and Control (CDC), 2021, pp. 3942-3947.
Zermelo-Markov-Dubins with two trailers. With J.-B. Caillau, T. Combot, J.-B. Pomet. IFAC Workshop LHMNC 21. IFAC-PapersOnLine, 54 (2021), no. 19, 249-254.
An auditory cortex model for sound processing. With R. Asswad, U. Boscain, D. Prandi, G. Turco. Geometric Science of Information. GSI 2021. Lecture Notes in Computer Science, vol 12829. Springer, Cham.
Dynamic output feedback stabilization of non-uniformly observable dissipative systems. With L. Brivadis, V. Andrieu, U. Serres, J.P. Gauthier. IFAC World Congress 2020. IFAC-PapersOnLine, 53(2), 4923-4928.
Output stabilization of military UAV in the unobservable case. With A. Ajami, M. Brouche, J.P. Gauthier. 2020 IEEE Aerospace Conference, Big Sky, MT, USA, 2020, pp. 1-6.

Ph.D. thesis

Singularities in sub-Riemannian geometry, Université Paris-Saclay.

Teaching activities

Since 2021

Instructor for Université Côte d'Azur and Polytech Nice

Measure theory, Polytech Nice, Mathematical engineering year 3, since fall 2022

Stochastic processes / times series, Polytech Nice, Mathematical engineering year 4, since spring 2022

2018-2021

Instructor for Université Claude Bernard Lyon 1

Multivariate and vector calulus, L1 Sciences physiques, Spring 2021

Visiting assistant professor at Lehigh University

Calculus II, Math 22, Spring 2020

Calculus with business applications, Math 81, fall 2019

Instructor for the Department of Electrical Engineering of Université de Toulon

Introduction to automation, 1st year DUT, spring 2019

Masters degree research project mentoring. Numerical implementation of line fields interpolation, spring 2019

2015-2018

TA for the Department of Applied Mathematics of École Polytechnique

Implementation of numerical methods, MAP 572, 3rd year École Polytechnique, 2016-2018

Numerical approximation and optimization, MAP 411, 2nd year École Polytechnique, 2015-2017

Applied mathematics professor in the EV2 students' preparatory semester, 1st year École Polytechnique, 2015-2018

Control of dynamical models, tutorials, MAP 434, 2nd year École Polytechnique, 2015-2016

2013-2015

Math examiner for ECE 1 class of Lycée Henri IV (professor C. Hériveaux), 2014-2015

Computer science TA for ECE 1 class of Lycée Henri IV, 2014-2015

Agregation's competitive exam preparation, 2014-2015

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