16 papers
Stabilization of 1D Linear Hyperbolic Balance Laws by Integral Difference Control and Application to Networks Stabilization
Adam Braun, Jean Auriol, Lucas Brivadis
This paper develops a unified method for the exponential stabilization of first-order linear hyperbolic balance laws under general actuation, including both underactuated boundary…
Event-Triggered Gain Scheduling of 2 x 2 Linear Hyperbolic PDEs via Neural Operators (Full Version)
Yihuai Zhang, Jean Auriol, Nicolas Espitia +1
This paper introduces a new framework for event-triggered gain scheduling applied to linear hyperbolic Partial Differential Equations (PDEs) with time- and space-varying coefficien…
Stabilization of a chain of 3 hyperbolic PDEs with 2 inputs in arbitrary position
Adam Braun, Jean Auriol, Lucas Brivadis
This paper addresses the stabilization of a chain of three coupled hyperbolic partial differential equations actuated by two control inputs applied at arbitrary nodes of the networ…
A Backstepping-KKL observer for a cascade of a nonlinear ODE with a heat equation
Adam Braun, Lucas Brivadis, Jean Auriol
We propose an observer design for a cascaded system composed of an arbitrary nonlinear ordinary differential equation (ODE) with a 1D heat equation. The nonlinear output of the ODE…
On hyperbolic PDEs, filtered feedback control laws, and fractal-like stability crossing curves
Wim Michiels, Federico Bribiesca-Argomedo, Jean Auriol
The paper addresses the boundary control of a class of hyperbolic PDEs, based on an equivalent representation in terms of an integral-difference equation. The situation is consider…
Operator Learning for Robust Stabilization of Linear Markov-Jumping Hyperbolic PDEs
Yihuai Zhang, Jean Auriol, Huan Yu
This paper addresses the problem of robust stabilization for linear hyperbolic Partial Differential Equations (PDEs) with Markov-jumping parameter uncertainty. We consider a 2 x 2…