On the problem of minimizing the epidemic final size for SIR model by social distancing
Co-authors: Pierre-Alexandre Bliman, Patrice Loisel, Alain Rapaport, Arnaud Virelizier
Submitted, 2025 • Link
Regularization of optimal control problems on stratified domains using additional controls
Co-authors: Alain Rapaport, Terence Bayen
Submitted, 2025 • Link
Minimum Time Problem for the Double Integrator with a Loss Control Region
Co-authors: Terence Bayen, Loïc Bourdin
Accepted in Nonlinear Analysis Hybrid Systems, 2025 • Link
Hybrid Maximum Principle for Regional Optimal Control Problems with Non-Smooth Interfaces
Co-authors: Terence Bayen, Florent Nacry
Journal of Convex Analysis, Vol. 32, 2025 • Link
On the Use of Needle-Like Perturbations in Spatially Heterogeneous Control Systems
Co-authors: Terence Bayen, Loïc Bourdin
Journal of Optimization Theory and Applications, Vol. 204, No. 46, 2025 • DOI
Loss Control Regions in Optimal Control Problems
Co-authors: Terence Bayen, Loïc Bourdin, Olivier Cots
Journal of Differential Equations, Vol. 405, pp. 359–397, 2024 • DOI
The Hybrid Maximum Principle for Optimal Control Problems with Spatially Heterogeneous Dynamics as a Consequence of a Pontryagin Maximum Principle for Local Solutions
Co-authors: Terence Bayen, Loïc Bourdin
SIAM Journal on Control and Optimization, Vol. 62, No. 4, pp. 2412–2432, 2024 • DOI
On the Reduction of a Spatially Hybrid Optimal Control Problem into a Temporally Hybrid Optimal Control Problem
Co-authors: Terence Bayen, Loïc Bourdin, Olivier Cots
AIMS on Applied Mathematics, IVAN KUPKA LEGACY, Vol. 12, 2024 • Link
Optimal Control Problems with Non-Control Regions: Necessary Optimality Conditions
Co-authors: Terence Bayen, Loïc Bourdin
IFAC-PapersOnLine, Vol. 55, No. 16, pp. 68–73, 2022 • DOI
Hybrid optimal control: optimality conditions and applications
Thesis, 2023 • HAL
Hybrid Maximum Principle with Regionally Switching Parameter
Co-authors: Terence Bayen, Loïc Bourdin
Preprint, 2022 • HAL