My Google Scholar

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

Preprints

  • 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
    HAL/arXiv

  • Stabilization of a chain of 3 hyperbolic PDEs with 2 inputs in arbitrary position (2025)
    Braun, Adam, Auriol, Jean, Brivadis, Lucas
    submitted to IFAC WC 2026 (Busan)
    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 Automatica
    HAL/arXiv

Publications

  • 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

  • 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