Peer-reviewed research on optimal control, hybrid and non-smooth dynamics, numerical methods, and mathematical biology.
2026 Conference paper
Observer synthesis and peak reduction for the SIR model with output feedback under budget-constrained interventions
Co-authors: Radosław Patelski, Alain Rapaport, Denis Efimov and Rosane Ushirobira
To appear in the 65th IEEE Conference on Decision and Control, 2026
Read on HAL ↗ 2026 Submitted manuscript
Low-Precision Arithmetic for Solving ODEs: A Case Study in Epidemiological Modeling
Co-authors: El-Mehdi El Arar and Rémi Garcia
Submitted, 2026
Read on HAL ↗ 2026 Journal article
Regularization of optimal control problems on stratified domains using additional controls
Co-authors: Alain Rapaport and Terence Bayen
SIAM Journal on Control and Optimization, Vol. 64, No. 4, pp. 2689–2714, 2026
DOI ↗ 2026 Journal article
On the problem of minimizing the epidemic final size for SIR model by social distancing
Co-authors: Pierre-Alexandre Bliman, Patrice Loisel, Alain Rapaport and Arnaud Virelizier
Mathematical Biosciences and Engineering, 2026
DOI ↗ 2026 Journal article
Minimum Time Problem for the Double Integrator with a Loss Control Region
Co-authors: Terence Bayen and Loïc Bourdin
Nonlinear Analysis: Hybrid Systems, 2026
DOI ↗ 2025 Journal article
Hybrid Maximum Principle for Regional Optimal Control Problems with Non-Smooth Interfaces
Co-authors: Terence Bayen and Florent Nacry
Journal of Convex Analysis, Vol. 32, 2025
Read article ↗ 2025 Journal article
On the Use of Needle-Like Perturbations in Spatially Heterogeneous Control Systems
Co-authors: Terence Bayen and Loïc Bourdin
Journal of Optimization Theory and Applications, Vol. 204, No. 46, 2025
DOI ↗ 2024 Journal article
Loss Control Regions in Optimal Control Problems
Co-authors: Terence Bayen, Loïc Bourdin and Olivier Cots
Journal of Differential Equations, Vol. 405, pp. 359–397, 2024
DOI ↗ 2024 Journal article
The Hybrid Maximum Principle for Optimal Control Problems with Spatially Heterogeneous Dynamics as a Consequence of a Pontryagin Maximum Principle for L1 Local Solutions
Co-authors: Terence Bayen and Loïc Bourdin
SIAM Journal on Control and Optimization, Vol. 62, No. 4, pp. 2412–2432, 2024
DOI ↗ 2024 Book chapter
On the Reduction of a Spatially Hybrid Optimal Control Problem into a Temporally Hybrid Optimal Control Problem
Co-authors: Terence Bayen, Loïc Bourdin and Olivier Cots
AIMS on Applied Mathematics, IVAN KUPKA LEGACY, Vol. 12, 2024
Read chapter ↗ 2022 Conference paper
Optimal Control Problems with Non-Control Regions: Necessary Optimality Conditions
Co-authors: Terence Bayen and Loïc Bourdin
IFAC-PapersOnLine, Vol. 55, No. 16, pp. 68–73, 2022
DOI ↗ 2023 Doctoral thesis
Hybrid optimal control: optimality conditions and applications
PhD thesis, Avignon Université, 2023
Read on HAL ↗ 2022 Preprint
Hybrid Maximum Principle with Regionally Switching Parameter
Co-authors: Terence Bayen and Loïc Bourdin
Read on HAL ↗