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 (2025)
    Braun, Adam, Auriol, Jean, Brivadis, Lucas
    submitted to Bulletin des Sciences Mathématiques
    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

Articles published in a peer-reviewed journal

  • 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