Research
Research interests
- Partial Differential Equations
- Robust stabilization of hyperbolic systems
- Delay systems
- Networks and interconnected systems
- Observer design for nonlinear or infinite dimensional dynamical systems
Keywords: PDE, control theory, backstepping, IDE, delay, KKL, Backstepping-KKL, interconnected systems
Journal articles
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Stabilization of Integral Difference Equations by solving a Corona problem (2026)
Braun, Adam, Auriol, Jean, Brivadis, Lucas
submitted to IEEE Control Systems Letters and CDC 2026 (Honolulu)
HAL/arXiv -
A Spectral Exponential Stability Criterion for Integral Difference Equations and Delay Differential Equations in various state spaces (2026)
Braun, Adam, Auriol, Jean, Brivadis, Lucas
submitted to Transactions on Automatic Control IEEE (Technical Note)
HAL/arXiv -
A Backstepping-KKL observer for a cascade of a nonlinear ODE with a heat equation (2025)
Braun, Adam, Brivadis, Lucas, Auriol, Jean
submitted to Systems & Control Letters
HAL/arXiv -
Underactuated boundary control of a linearized Saint-Venant equation (2025)
Auriol, Jean, Braun, Adam, Ouidir Amirat, Mohand, Bajodek, Mathieu
IMA Journal of Mathematical Control and Information — Oxford University Press
HAL/arXiv · Article
Conference papers
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Stabilization of a chain of 3 hyperbolic PDEs with 2 inputs in arbitrary position (2025)
Braun, Adam, Auriol, Jean, Brivadis, Lucas
accepted to IFAC WC 2026 (Busan)
HAL/arXiv -
Stabilization of a Chain of Three Hyperbolic PDEs using a Time-Delay Representation (2025)
Braun, Adam, Auriol, Jean, Brivadis, Lucas
Joint IFAC Conference: SSSC-TDS-COSY, Jun 2025, Gif sur Yvette (91), France
HAL/arXiv · Article